Course Syllabi

LEGA 2220 - Computerized Litigation Support Concepts (CLSC)

Credit Hours: 3.00

Objectives: The student will:

1. Explore law office computer technology.
2. Define law office computer technology.
3. Review distinctions between computer hardware and computer software.

Outcome 2: Upon completion of this course, students will be able to utilize the most popular litigation support applications available on the market today for managing case files.

Objectives: The student will:

1. Identify the most popular litigation support applications available on the market.
2. Implement guidelines for working with case management and docket control programs to manage and control a legal organization’s case loads and tasks to be completed and scheduled.
3. Distinguish between case management and docket control programs for managing and controlling a legal organization’s caseloads and tasks to be completed and scheduled.
4. Analyze the importance of timekeeping, billing, and various types of legal fee agreements.
5. Use the litigation support applications to expedite the timekeeping and billing process.

Outcome 3: Upon completion of this course, students will be able to build case structures, strategies, and database design considerations for searching and extracting information from the database.

Objectives: The student will:

1. Identify the fundamental elements of database design.
2. Apply the fundamental elements of database design in a legal environment.
3. Define case structures, strategies, and database design considerations for searching and extracting information from the database.
4. Distinguish between case structures, strategies, and database design considerations for searching and extracting information from the database.
5. Organize case structures, strategies, and database design considerations for searching and extracting information from the database.
6. Analyze case structures, strategies, and database design considerations for searching and extracting information from the database.

Outcome 4: Locate legal authorities to answer factual situations via computer assisted research, the Internet, and e mail.

Objectives: The student will:

1. Distinguish between the different ways to conduct research.
2. Identify the different sources for use in conducting research.
3. Choose appropriate databases for locating legal authorities.
4. Gather documents from a citation.

1. Computers in the Law Office
2. Legal Technology Trends
3. Computer Hardware and Software
4. How Computers Can Help the Legal Assistant
5. Review Computer Hardware and Software Applications in the Law Office
6. A Computer System: An Overview
7. The Word Processing Cycle
8. Word Processing Fundamentals
9. Spreadsheet Structure and Organization
10. Spreadsheet Fundamentals
11. Understanding the Fundamental Elements of Database Design and How to Incorporate Those Elements in a Legal Environment
12. DBMS in the Legal Environment
13. DBMS Functions: An Overview
14. Introduction to Timekeeping and Billing
15. Legal Timekeeping and Billing Software
16. Fundamentals of Computerized Timekeeping and Billing
17. Introduction to Computer Assisted Legal Research and CD ROM
18. CALR Search Query Techniques
19. Performing Competent Legal Research
20. CALR On Line Legal Databases
21. The Litigation Support Process
22. Manual Litigation and Support Methods
23. Types of Computerized Litigation Support Systems
24. The Electronic Courthouse, Automated Courtroom, and Presentation Graphics
25. Overview of Some Legal Specific Software
26. Overview of Presentation Graphics and Trial Presentation Software

LIFE 1010 - Career Development & Decision Making

Credit Hours: 3.00

Objectives: The Student will:

1. Use results from interest assessments to explore interests, personality, skills, and values.
2. Discuss past work experiences.
3. Collect information on occupations and employers through online research, workplace visits, in-class presentations, and informational interviews.

Outcome 2: Upon completion of this course, students will choose an academic program of study at Macomb Community College that aligns with their career goals, interests, personality, skills, and values.

Objectives: The Student will:

1. Reflect on personal characteristics and occupational information.
2. Choose a major that matches personal characteristics and career goals.

Outcome 3: Upon completion of this course, students will identify an academic plan that reflects their program of study at Macomb Community College.

Objectives: The Student will:

1. Align personal characteristics and career goals to a Macomb Community College program of study.
2. Identify an academic plan of study that includes a sequence of courses in a Macomb Community College program of study.

1. Introduction
   1. Course introduction
   2. Career and employment resources at Macomb
2. Career Development
   1. Interests Assessment
   2. Personality Assessment
   3. Skills Exploration
   4. Values Exploration
3. Interpretation and Reflection
   1. Small group discussion
   2. Reflective assignments for the 3 course modules
   3. One-on-one meetings with instructor/academic counselor
4. Career Exploration and Networking
   1. Independent career research
   2. Workplace visits and discussions
   3. Employer Presenters
   4. Informational Interview
   5. Social Media Networking
5. Introduction to Informational Interviews
   1. Networking as a career research tool
   2. Preparation for informational interviews
6. Academic Planning
   1. College and Major exploration
   2. Identify an academic program plan of study
   3. Meet with a Macomb Community College Counselor or Academic Advisor
7. Critical Reflection
   1. Reflection Essays
8. Employment Research
   1. Resources and strategies
   2. Career Experience Internship Opportunities

MGMT 1010 - Principles of Management

Credit Hours: 3.00

Objectives:

1. Identify the different schools of management theory.
2. Describe how ethical behavior and social responsibility are achieved in management practice.

Outcome 2: Upon completion of this course, students will be able to apply the management functions of planning and controlling.

Objectives:

1. List the steps required to develop an effective management plan.
2. Recognize the key features of an organizational mission statement.
3. Give examples of strategic, tactical, and operational planning actions.
4. Identify the steps in the controlling process.
5. Interpret simulated organizational results in order to identify corrective action.

Outcome 3: Upon completion of this course, students will be able to apply the management function of organizing.

Objectives:

1. Identify the various organizational design structures used to achieve organizational goals.
2. Explain how key factors affect the structure of an organization.
3. Describe the activities involved in Human Resources Management.
4. Identify how groups and team influence an organization’s structure.

Outcome 4: Upon completion of this course, students will be able to explain the management functions of leading.

Objectives:

1. Identify drivers of individual behavior in an organization.
2. Define the concept of motivation, and list related early and contemporary theories.
3. Define the process of leadership, and list related contemporary theories.

Outcome 5: Upon completion of this course, students will be able to individually apply a management concept to current events.

Objectives:

1. Identify a management article that correctly relates to a concept presented in class.
2. Prepare a written report that summarizes the article and correctly identifies the relevant Management concept covered in class.
3. Present findings orally to the class in a clear and descriptive manner.
4. Utilize technology for presentations

1. Introduction to Management and Management Theory
   1. The Role of Management
   2. The Management Process: Management Functions
   3. History of Management Theories
   4. Decision Making Process
   5. Types of Decisions and Influences on Decisions
   6. Cultural Constraints and Challenges to Management
2. Managing in Today’s Workplace
   1. Managing in a Global Business Environment
   2. Managing Diverse Workgroups
   3. How Ethics Impacts Management Decisions
   4. Encouraging Ethical Managerial Behavior
   5. Social Responsibility
   6. Managing Change in Organizations
   7. Innovation
3. The Planning and Controlling Functions of Management
   1. Planning Defined
   2. Types of Goals and Plans
   3. Setting Goals and Developing Plans
   4. The Strategic Management Process
   5. Corporate and Competitive Strategies
   6. The Control Process
   7. Planning and Controlling Techniques
4. The Organizing Function of Management
   1. Basic Organizational Designs
   2. Adaptive Organizational Designs
   3. The Human Resources Management Process
   4. Organizing Tasks Using Groups and Teams
5. The Leadership Function of Management
   1. Individual Behavior
   2. Motivation Theories
   3. Effective Leadership
6. Management Article Summary and Presentation
   1. Working independently, locate a recent article related to one or more Management topics.
   2. Prepare a written report that includes a summary of the article and a description of how the article relates to a topic from class.
   3. Present findings to the class individually and include the use of visual aids.

MGMT 1155 - Human Resources Management

Credit Hours: 3.00

Objectives:

1. Describe the relationship of Human Resources Management to a Line Manager within an organization.
2. Describe the role human resources plays in an organization’s overall strategic plan
3. Identify the importance of Employee Engagement

Outcome 2: Upon completion of this course, students will be able to outline how the legal environment impacts the relationship between an organization and its employees.

Objectives:

1. Identify relevant federal and state Equal Employment Opportunity Laws.
2. Identify relevant labor relations laws and the collective bargaining environment.
3. Use health and safety laws to identify potential unsafe conditions and unsafe behavior in the workplace.

Outcome 3: Upon completion of this course, students will be able to practice major Human Resources activities through collaboration.

Objectives:

1. Collect job analysis data and write a job description
2. Identify recruitment sources and write a job ad
3. Identify the various types of candidate testing and write behavioral/situational interview questions
4. Describe training needs of new and current employees
5. Identify various methods of conducting performance appraisal
6. Identify the forms of compensation available to employees

Outcome 4: Upon completion of this course, students will be able to solve a sample employee relations problem in a collaborative setting.

Objectives:

1. Identify relevant Human Resource Management concepts
2. Conduct basic business research related to these concepts to locate examples.
3. Identify a solution to the problem.
4. Write a summary of the findings and implementation of the solution.
5. Present findings orally to the class in a clear and descriptive manner using visual technologies.

1. Introduction to Human Resources Management (HRM)
   1. Definition of HRM and relationship to the Management function in an organization
   2. Relationship to strategic management
   3. Components of positive employee relations
2. Managing in Today’s Workplace
   1. Equal Employment Opportunity Law - 1967 present
   2. Labor relations Law
   3. The collective bargaining process and environment
   4. Occupational Safety Law
   5. Health and Safety issues in the workplace
3. Staffing
   1. Talent Management
   2. Job analysis process
   3. Human Resource Planning methods
   4. Recruiting process
   5. Selection tests
   6. Interviews
4. Development, Feedback and Rewards
   1. Training and development methods
   2. Performance management
   3. Performance evaluation methods
   4. Succession planning
   5. Compensation and benefits

MGMT 1180 - Human Relations

Credit Hours: 3.00

Objectives:

1. Identify the 7 basic themes of human relations
2. Describe how the “Age of Information” affects human relations.
3. Discuss the need to balance a person’s focus on information versus people.
4. Classify the skills that are included in team building as a leader.
5. Describe how a person can increase his self-awareness in a business seting.
6. Discuss how self-disclosure as a manager can build trust between people.

Outcome 2: Upon completion of this course, students will be able to formulate a business memo or other business communication with the four different communication styles.

Objectives:

1. Describe the major developments that have given new importance to human relations. Describe the differences between interpersonal and impersonal communications and the use of technology within each.
2. Distinguish between the four different communication styles.
3. Practice communication style flexing in scenarios.

Outcome 3: Upon completion of this course, students will be able to categorize the major forces influencing human behavior at work.

Objectives:

1. List the six major forces that influence human behavior at work.
2. Describe the human relations movement in the United States.
3. Identify the components of a proper workplace violence policy.
4. Interpret ethical conduct as a manager and employee.
5. Discuss the major motivational theories and strategies.

Outcome 4: Upon completion of this course, students will be able to determine the proper conflict mode to use in a business management scenario.

Objectives:

1. Complete a self-assessment of the student’s individual conflict mode preference.
2. Experiment using different modes/styles in differing scenarios.
3. Determine the level of diversity within the organization.
4. Choose the correct mode to use in diverse backgrounds.

1. Improving Personal and Organizational Communications
   1. The Communication Process
   2. Communication Filters
   3. Improving Personal Communication
   4. Communicating in Organizations
2. Understanding Your Communication Style
   1. Communication Styles
   2. Communication Model
   3. Communication Versatility
3. Building High Self-Esteem
   1. The Power of Self-Esteem
   2. How to Build Self-Esteem
4. Personal Values Influence Ethical Choices
   1. How Personal Values Are Formed
   2. Personal Values and Ethical Choices
   3. Corporate Values and Ethical Choices
5. Atitudes Can Shape Your Life
   1. How Atitudes Are Formed
   2. Atitudes Valued by Employers
   3. How to Change Atitudes
6. Motivating Yourself and Others
   1. Influential Motivational Models
   2. Contemporary Employee Motivational Strategies
   3. Self-Motivation Strategies
7. Constructive Self-Disclosure
   1. The Johari Window
   2. Appropriate Self-Disclosure
   3. Barriers to Self-Disclosure
8. Achieving Emotional Balance in a Chaotic World
   1. Factors That Influence Our Emotions
   2. Coping with Your Anger and the Anger of Others
   3. Violence in the Workplace
   4. Emotional Styles
9. Building Stronger Relationships
   1. The Need for Positive Experiences
   2. Positive Reinforcement
   3. Barriers to Positive Reinforcement
10. Team Building
    1. Team-Building Skills for Leaders
    2. Situational Leadership
    3. Teamwork
11. Resolving Conflict
    1. The Root Cause of Conflict
    2. Learn to Negotiate
    3. Conflict Resolution Process
12. Valuing Work Force Diversity
    1. Prejudiced Atitudes
    2. Forms of Discrimination
    3. Managing Diversity
13. The Changing Roles of Men and Women
    1. Problems Facing Women in Organizations
    2. Problems Facing Men in Organizations
    3. How to Cope with Gender-Biased Behavior

MGMT 1210 - Entrepreneurship & Small Business Management

Credit Hours: 3.00

Objectives:

1. Describe the various types and sizes of small businesses.
2. List the ways that small businesses contribute to the US economy.
3. Identify the characteristics of successful entrepreneurs.

Outcome 2: Upon completion of this course, students will be able to refine a business concept into a startup opportunity.

Objectives:

1. Utilize the creative process to identify and differentiate among new business ideas.
2. Evaluate the benefits and drawbacks of startup through franchising and buyouts versus pure startups.
3. Define the major components of the business plan.

Outcome 3: Upon completion of this course, students will be able to successfully develop a business plan

Objectives

1. Research industry characteristics, conditions and trends
2. Identify a relevant target market
3. Develop a marketing strategy
4. Develop forecasted financial statements
5. Pitch the opportunity to the class upon completion.

1. Introduction to Small Business Management
   1. The Entrepreneurial Life
   2. Integrity, Ethics, and Social Responsibility
   3. The Organizational Plan
2. Startup Planning
   1. Starting a Small Business
   2. Franchising and Buyouts
   3. The Business Plan
3. Planning the Marketing Activities
   1. The Marketing Plan
   2. The Location Plan
   3. Pricing and Credit Decisions
   4. Promotional Planning
4. Planning the Startup’s Finances
   1. Understanding a Firm’s Financial Statements
   2. Forecasting Financial Requirements
   3. A Firm’s Sources of Financing

MGMT 2000 - Business Management Software Applications

Credit Hours: 3.00

Objectives:

1. Identify tasks and their dependencies in a project
2. Assign resources within the software
3. Monitor the budgets within the project
4. Identify special calendars and work schedules
5. Identify a constraint in a schedule

Outcome 2: Upon completion of this course, students will be able to solve problems in the critical path of a project using Project Management Software.

Objectives:

1. Use MS Project to diagnose problems in Gannet and PERT charts
2. Give examples of changes in the project to meet project deadlines

Outcome 3: Upon completion of this course, students will be able to operate Business Software to create business diagrams.

Objectives:

1. Organize business flowcharts
2. Develop organizational charts
3. Develop maps
4. Develop office designs and site plans

Outcome 4: Upon completion of this course, students will be able to create an individual project with Microsoft Project and Microsoft Visio.

Objectives:

1. Plan a project within a budget
2. Plan a project within the deadline
3. Create a diagram to support the project

Outcome 5: Upon completion of this course, students will be able to present a project with Microsoft Project and Microsoft Visio.

Objectives:

1. Prepare an oral presentation of their project
2. Present their project to the class audience

1. Introduction to Project Management
   1. Benefits of Project Management
   2. How Microsoft Project Supports successful Project Management
   3. Entering Tasks
   4. Understanding Project Views
      1. Saving a Project with a New Name
      2. Magnification
      3. Modifying the Timescale
      4. Printing a View
   5. Getting Help
2. Starting a New Project and Examining Scheduling Defaults
   1. Examining Project Calendars
   2. Entering Tasks and Durations
   3. Editing Tasks and Durations
      1. Entering Recurring Tasks
      2. Entering Milestones
   4. Understanding Task Dependencies
      1. Creating Task Dependencies
      2. Editing Task Dependencies
   5. Entering Lag and Lead Times
   6. Creating a Work Breakdown Structure with Summary Tasks
3. Creating Reports Using Project
   1. Understanding the Critical Path
   2. Filtering Tasks for Information
   3. Formatting a Project
      1. Working with the Network Diagram
      2. Moving Tasks
      3. Print Preview
      4. Formatting a Network Diagram
   4. Shortening the Critical Path
4. Entering Cost and Resource Data
   1. Using the Resource Information Dialog Box
      1. Assigning Resources to Task
   2. The Relationship between Work, Duration, and Units
      1. Creating a Fixed-Duration Task
      2. Using the Resource Usage View
   3. Reviewing Project Costs
   4. Project Summary Information
   5. Critical Path and Slack
   6. Using Reports
5. Business Planning Presentation Software
   1. Microsoft Visio
      1. Screens
      2. Toolbars
   2. Applications
      1. Organizational Charts
      2. Flow Charts
      3. Office Layouts
      4. Workplace Layouts
      5. Site Layouts
      6. Mind Mapping

MGMT 2100 - Effective Organizational Behavior & Team Development

Credit Hours: 3.00

Objectives:

1. Differentiate between the different personality styles.
2. Explain differences in the effects between emotions and moods.
3. Identify motivational practices in overall job satisfaction.
4. Complete personal assessments to identify the student’s own role.

Outcome 2: Upon completion of this course, students will be able to critique team effectiveness in an organization.

Objectives:

1. Categorize the stages of group development.
2. Identify the stages of team development
3. Identify the factors of team effectiveness that make a team successful
4. Discover different conflict styles within groups
5. Complete personal assessments to identify the student’s preferred role in a team.

Outcome 3: Upon completion of this course, students will be able to evaluate an organization’s behavior.

Objectives:

1. Research an organization’s history and current trends
2. Interpret articles and media publications
3. Explain main points of organizational behavior
4. Determine why an organization faces behavior issues.

Outcome 4: Upon completion of this course, students will be able to illustrate how to work in a team setting collaboratively.

Objectives:

1. Prepare an independent written analysis of organizational behavior.
2. Combine findings with class team and compile one full analysis.
3. Prepare oral presentation for class audience.
4. Present findings and proposal to the class audience collaboratively.

Outcome 5: Upon completion of this course, students will be able to assess the performance of an effective team.

Objectives:

1. Prepare group evaluations of performance
2. Prepare self-evaluation of effort and performance
3. Document behaviors and detect problems and successes

1. What is Organizational Behavior?
   1. Management functions and roles
   2. Management Skills
   3. Challenges and opportunities for Organization Behavior
   4. Using Self-Assessments
2. The Individual
   1. Diversity in Organizations
   2. Attitudes and Job Satisfaction
   3. Emotions and Moods
   4. Personality and Values
   5. Perception and Individual Decision Making
   6. Motivation: from Concepts to Application
3. The Group
   1. Foundations of Group Behavior
      1. Stages of Group Development
      2. Group Properties: Roles, Norms, Status, Size, Cohesiveness, and Diversity
   2. Understanding Work Teams
      1. Differences between groups and teams
      2. Types of Teams
      3. Team Effectiveness Model: Factors that make teams successful
   3. Communication
   4. Leadership
   5. Power and Politics
   6. Conflict and Negotiation
4. The Organization System
   1. Foundations of Organization Structure
   2. Organizational Culture
   3. Organizational Change
5. Presentation of Team Project
   1. Assist in the compilation and delivery of the team written project
   2. Assist in the compilation and verbal presentation of the team written project
   3. Assess performance and evaluate all members of the team

MGMT 2800 - Management Capstone

Credit Hours: 3.00

Objectives:

1. Collaborate in teams to utilize rational decision making, breakeven analysis and other management techniques to plan the launch from an operational and human resources perspective.
2. Analyze reports to identify business results and take adequate corrective action.
3. Present findings to the class upon completion.

Outcome 2: Upon completion of this course, students will be able to complete a leadership project.

Objectives:

1. Identify project topic that will enhance leadership skills
2. Define a project plan including a scope and timeline
3. Organize tasks and manage others to see the project through completion
4. Implement the plans through the completion of tasks
5. Identify and take concurrent corrective action based on feedback.
6. Measure results of project
7. Present findings through a written report and oral presentation.

Outcome 3: Upon completion of this course, students will be able to successfully develop a portfolio of work.

Objectives:

1. Build a current resume
2. Assemble a Student Development Transcript
3. Collect academic letters and evidence of accomplishments (e.g., projects)
4. Assemble the Leadership Project summary

1. Review of the Functions and Skills of Managers
   1. Planning
   2. Organizing
   3. Leading
   4. Controlling
   5. Decision-Making
   6. Critical-Thinking
   7. Problem-Solving
2. Leadership Project
   1. Five Practices
   2. Necessary Skills
   3. Leadership Book review
3. Business Operations Simulation
   1. Pre-work
   2. Launch
   3. Weekly Decisions
   4. Evaluation of Results
   5. Presentation of findings

MKTG 1010 - Principles of Marketing

Credit Hours: 3.00

Objectives:

1. Define marketing’s role in business.
2. Explain the concept of value in marketing.
3. Identify sustainable competitive advantages and their importance.
4. Explain the marketing strategic planning process including mission statements, SWOT analysis and the SBU portfolio analysis.
5. Describe the uncontrollable macroenvironmental forces affecting an organization’s marketing strategy.
6. Identify and analyze ethical issues in marketing.
7. Describe the purchase decision process and factors influencing consumer behavior.
8. Compare and contrast marketing research tools using primary and secondary data.
9. Compare and contrast segmentation variables and their use in the targeting and positioning process.
10. Explain the importance of globalization and diversity in marketing.

Outcome 2: Upon completion of this course, students will be able to demonstrate knowledge of each element of the marketing mix.

Objectives:

1. Students will describe strategies for an organization’s marketing mix, including:
   1. Product.
   2. Promotion.
   3. Distribution/Placement/Supply Chain.
   4. Pricing strategy.

Outcome 3: Upon completion of this course, students will be able to develop a marketing plan that incorporates each of the above content areas.

Objectives:

1. Given a product/service/organization, students will create and present a comprehensive marketing plan:
   1. Analyze and select a target market.
   2. Recommend strategies for each element of the marketing mix.

1. Overview of Marketing
   1. Marketing’s role in business
   2. Value in marketing
   3. Introduction to the marketing mix
2. Marketing Strategy Development
   1. Core competencies and sustainable competitive advantage
   2. Internal planning (mission statements, SWOT analysis and SBU portfolio)
   3. Macroenvironmental (uncontrollable external) factors in marketing
   4. Ethics and social responsibility
   5. The emergence of global marketing
3. Understanding the Consumer
   1. The consumer decision process and factors influencing consumer behavior
   2. Marketing research and analysis
   3. Segmenting, targeting and positioning
   4. Business to business marketing
4. Developing strategies for products and services
   1. Evaluating a company’s product mix
   2. The product life cycle and diffusion of innovation for boosting product adoption
   3. New product introduction
   4. Branding and packaging
   5. Services marketing
5. Developing strategies for promotion and marketing communications
   1. Integrated marketing communications
   2. Development of an advertising campaign
   3. The promotion mix: advertising, public relations, sales promotion, personal selling, new media
6. Developing strategies for pricing
   1. Pricing objectives and strategies
   2. Price elasticity and the demand curve
   3. Break-even analysis
   4. Setting the final price
7. Developing strategies for distribution
   1. Marketing channels
   2. Supply chain management concepts
   3. Retailing fundamentals
   4. Physical distribution and inventory management

MKTG 1020 - Dynamics of Retailing

Credit Hours: 3.00

Objectives:

1. Discuss the roles and functions of retailing within society and business
2. Differentiate between the different types of retailers.
3. Discuss trends that are shaping today’s retailers including diversity and technology.
4. Describe market segmentation as it relates to retailers.
5. Explain how consumers decide what to buy and where to shop.

Outcome 2: Upon completion of this course, students will be able to explain the components of retail strategy management.

Objectives:

1. Describe three key components of retail strategy: target markets, retail format, and competitive advantage.
2. Explain financial terminology and financial measures used to assess retail performance.
3. Identify the types of retail locations and their advantages/disadvantages.
4. Explain the issues that are evaluated when determining store location.
5. Describe human resource management programs to build a committed workforce.
6. Explain how efficient information and supply chain management contributes to stronger retailer profits.
7. Describe how CRM programs convert consumer data into customer loyalty.

Outcome 3: Upon completion of this course, students will be able to explain the merchandise management process.

Objectives:

1. Describe how retailers develop profitable merchandise assortments and forecast sales.
2. Discuss the buying systems used to make these decisions.
3. Explain branding and sourcing options.
4. Demonstrate how to set and adjust retail prices.
5. Compare advantages and disadvantages of various IMC tools.

Outcome 4: Upon completion of this course, students will be able to identify the fundamentals of store management.

Objectives:

1. Identify the responsibilities involved in managing store employees.
2. Identify the responsibilities involved in controlling costs.
3. Identify the responsibilities involved in merchandise management.
4. Identify the responsibilities involved in providing customer service.

Outcome 5: Upon completion of this course, students will be able to prepare a retail plan.

Objectives:

1. Discuss marketplace factors that will affect a retailer.
2. Describe the target market.
3. Research and select a retail site.
4. Discuss merchandise recommendations: assortment, branding, sourcing, pricing.
5. Describe store layout, design, and visual merchandising recommendations.
6. Identify customer service and promotion/communication strategies.
7. Provide budget and human resource strategies.

1. Introduction to Retailing
   1. Types of Retailers
   2. Trends in Retailing - Current and Future
   3. Customer Buying Behavior
2. Retailing Strategy Management
   1. Segmenting and Target Market Development
   2. Developing a Sustainable Competitive Advantage
   3. Strategic Planning in Retailing
   4. Financial Planning
   5. Retail Site Selection
   6. Managing Human Resources
   7. Managing Information and the Supply Chain
   8. Customer Relationship Management
3. Merchandise Management
   1. Planning for and Buying Merchandise
   2. Vendor and Supplier Relationships
   3. Retail Pricing Strategies
   4. Integrated Marketing Communications for Retailers
4. Store Management
   1. Employee Recruiting, Development and Management
   2. Store Design, Layout and Visual Merchandising
   3. Customer Service Strategies

MKTG 1050 - E-Marketing

Credit Hours: 3.00

Objectives:

1. Describe how the Internet has evolved.
2. Convey how the four Ps have been influenced by the Internet.
3. Explain how e-marketing fits into the overall marketing strategy.
4. Identify how e-mail developed into an important e-marketing tool.
5. Identify how mobile marketing became an important e-marketing tool.

Outcome 2: Upon completion of this course, students will be to explain how to use technology to implement various advertising tactics.

Objectives:

1. Explain how all elements of online advertising work together - including when to use online advertising, online payment methods, ad servers and advertising networks.
2. Analyze the difference between PPC (pay per click) and SEO (search engine optimization).
3. Detail how to prepare an e-mail campaign.
4. Illustrate how the three categories of mobile phones (SMS, MMS and USSD) fit into e-marketing.

Outcome 3: Upon completion of this course, students will be able to clarify how the internet and technology compliments a public relations plan.

Objectives:

1. Explain why it is important to engage in online conversations.
2. Describe how brands can best recover from an online threat.
3. Articulate the basic fundamentals of Web Public Relations (WebPR) using online press rooms.
4. Evaluate how search and social media can be used as a powerful tool for press releases.

Outcome 4: Upon completion of this course, students will be able to use technology to engage and communicate with customers.

Objectives:

1. Explain the fundamental concepts behind social media.
2. Demonstrate how creating content and sharing content work together.
3. Identify how crowdsourcing is used.
4. Explain the different types of viral marketing, steps before a campaign goes live and how to manage a viral campaign.
5. Describe how technology influences CRM (customer relationship management).
6. Illustrate how important online research panel are to research and how to get responses.

Outcome 5: Upon completion of this course, students will be able to incorporate strategic e-marketing practices into a marketing plan.

Objectives:

1. Explain what search engine optimization (SEO) is and how a web site needs to be structured.
2. Illustrate how key phrases fit into search engine optimization (SEO).
3. Describe how online copywriting works.
4. Define the fundamental concepts of web site usability.
5. Explain how to become visible to search engines.
6. Identify the basic fundamentals of Web analytics and conversion optimization including data tracking and collection.

1. Introduction to E-Marketing
2. E-Marketing Strategy

Advertising with Technology

1. Pay per Click Advertising
2. Online Advertising
3. Mobile Marketing
4. E-mail Marketing
5. Affiliate Marketing
6. Search Engine Marketing

Public Relations with Technology

1. Online Reputation Management
2. Web Public Relations

Using Technology to Engage & Communicate

1. Social Media
2. Crowdsourcing
3. Viral Marketing
4. Market Research
5. Customer Relationship Management

Strategic E-marketing Practices

1. Search Engine Optimization
2. Web Site Development and Design
3. Online Copywriting
4. Web Analytics and Conversion Optimization

MKTG 1210 - Small Business Marketing

Credit Hours: 3.00

Objectives:

1. Perform an environmental analysis including all elements of the external marketing environment.
2. Complete a comprehensive competitive analysis.
3. Evaluate all customer segments within the overall marketplace.

Outcome 2: Upon completion of this course, students will develop marketing objectives and strategies.

Objectives:

1. Create marketing objectives using the SMART format.
2. Develop a specific target market including demographics, pychographics, and geographics.
3. Analyze target market consumer behavior when purchasing your product.
4. Develop a year 1 research plan.

Outcome 3: Upon completion of this course, students will develop a marketing plan for a small business.

Objectives:

1. Describe product strategy including competitive advantage, SWOT analysis and packaging if applicable.
2. Define brand positioning.
3. Explain the overall pricing strategy and tactics.
4. Develop a distribution strategy.
5. Create a comprehensive promotions plan which includes:
   1. Public relations
   2. Social media, blog, website
   3. Sales promotion
   4. Advertising
   5. Promotional materials

1. Marketing Fundamentals & Marketing Plan
2. Marketing Environment
3. Marketing Research
4. Customer & Competition
5. Segmenting, Targeting & Positioning
6. Developing New Products & Services
7. Branding
8. Promotion
9. Pricing
10. Distribution

MKTG 1510 - Sports & Entertainment Marketing

Credit Hours: 3.00

Objectives:

1. Identify fundamentals of the sports and entertainment marketing business
2. Discuss customer service issues specific to the sports and entertainment field
3. Explain the product elements of sports and entertainment.
4. Construct a target market based on the needs of the business and industry.
5. Explain how to manage the channels of distribution.
6. Develop ideas for promotions.
7. Compare and contract various pricing strategies and the sales processes.

Outcome 2: Upon completion of this course, students will be able to explain the economic impact of the sports and entertainment industry.

Objectives:

1. Perform financial analysis and risk assessment
2. Estimate supply and demand.
3. Explain ownership options and the various financial implications
4. Evaluate human resources needs and understand its economic impact.
5. Explore careers in sports and entertainment marketing by evaluating salary and job opportunities

Outcome 3: Upon completion of this course, students will practice strategies managing a sports and entertainment venue.

Objectives:

1. Utilize a real-world scenario to practice strategies for:
   1. Scheduling events
   2. Managing venue resources
   3. Determining pricing strategies for various types of events based on supply and demand
   4. Evaluate target market needs for various sports and entertainment products
   5. Creating integrated marketing communication strategies for events

1. Sports and Entertainment Foundations
   1. Defining the Sports and Entertainment Industry
   2. Customer Service
   3. Basic Sports and Entertainment Business Fundamentals
   4. Information Management
2. The Sports and Entertainment Environment
   1. Legal Issues
   2. Economic Issues
   3. Global and Cultural Issues
   4. Ownership and Leadership
   5. Career Development
3. Sports and Entertainment Marketing Strategies
   1. Product Strategy
   2. Supply Chain and Distribution Strategy
   3. Pricing Strategy
   4. Promotion Strategy
4. Marketing Simulation
   1. Developing Real-Life Strategies for Running a Venue

MKTG 1810 - Customer Service

Credit Hours: 3.00

Objectives:

1. Define customer service.
2. Identify societal factors that have influenced customer service.
3. Recognize real-world, customer-focused service providers.
4. Identify customer needs in relation to service.

Outcome 2: Upon completion of this course, students will be able to identify crucial customer service skills.

Objectives:

1. Explain the importance of effective verbal communication and feedback.
2. Recognize and identify non-verbal communication strategies.
3. Develop strategies to improve listening in the workplace.

Outcome 3: Upon completion of this course, students will be able to identify strategies to build positive customer relationships.

Objectives:

1. Identify customer behavioral styles and appropriate responses and strategies to manage those relationships.
2. Compare and contrast strategies for preventing and recovering from service breakdowns.
3. Determine actions for dealing with a diverse customer population.
4. Describe ways technology enhances service delivery and how employees can use technology in the workplace effectively.
5. Discuss ways to encourage customer loyalty through customer service and trust.

Outcome 4: Upon completion of this course, students will model and demonstrate relationship-building customer service skills.

Objectives:

1. Evaluate customer service skills currently held.
2. Design a positive customer service encounter.
3. Demonstrate a positive customer service encounter, given a scenario.
4. Evaluate and analyze customer service skills demonstrated, given a scenario.
5. Develop a plan to personally improve customer service skills.

1. The Customer Service Profession
   1. The Customer Service Environment
   2. The Positive Service Culture
2. Customer Service Skills
   1. Verbal Communication Skills
   2. Non-Verbal Communication Skills
   3. Listening to the Customer
3. Building and Maintaining Customer Relationships
   1. Customer Behavior Styles
   2. Service Breakdowns and Recovery
   3. Customer Diversity
   4. Using Technology in Customer Service
   5. Encouraging Customer Relationships and Loyalty

MKTG 2010 - Professional Selling

Credit Hours: 3.00

Objectives

1. Compare and contrast different types of sales relationships.
2. Discuss the different types of buyers and how to identify their need.
3. Explain the importance of trust in a buyer/seller relationship.
4. Explain the importance of collaborative two-way communication.
5. Discuss how to effectively integrate technology into the sales process.
6. Examine time and territory management methods.
7. Identify the importance of developing a long-term customer relationship management strategy.

Outcome 2: Upon completion of this course, students will be able to explain the steps in the personal selling process.

Objectives:

1. Describe the major prospecting methods and give examples of each method.
2. Link buying motives to product or service benefits, support claims made for benefits, and reinforce verbal claims made.
3. Describe the key characteristics of effective sales dialogue.
4. Compare and contrast the methods for responding to buyer objections.
5. List and explain the commitment-earning techniques that enhance relationship building.
6. Explain how to follow up to assess customer satisfaction.

Outcome 3: Upon completion of this course, students will be able to prepare and present components of a sales presentation tailored to a specific customer.

Objectives:

1. Develop presentation content specific to each step in the trust-based relationship selling process.
2. Participate in a structured and/or unstructured sales situational role play.
3. Identify and adapt presentations to different communication styles.
4. Analyze role plays and sales presentations.

1. Introduction to Trust-Based Relationship Selling
   1. Overview of the professional sales world
   2. Building trust in a sales relationship
   3. Understanding buyer behavior
   4. Developing communication skills
2. Preparing for a Sales Dialogue - Initiating Customer Relationships
   1. Strategic prospecting strategies
   2. Prospecting methods
   3. Planning sales dialogues and presentations
   4. Developing sales objectives
3. Engaging in Sales Dialogue - Developing Customer Relationships
   1. Creating and communicating value in a sales dialogue
   2. Encouraging buyer feedback
   3. Anticipating and addressing concerns and objections
   4. Securing commitment
4. Expanding and Enhancing Internal and External Customer Relationship Management
   1. Assessing customer satisfaction
   2. Post-purchase follow-up techniques
   3. Maintaining open communication
   4. Using technology to expand and enhance CRM
   5. Adding value through self-leadership and teamwork
   6. Developing, directing and evaluating the company sales force
   7. Time and territory management

MKTG 2020 - Advertising & Promotion Management

Credit Hours: 3.00

Objectives:

1. Discuss the roles and functions of advertising within society and business
2. Distinguish the different types of advertising
3. Summarize the characteristics of effective advertising
4. Analyze the changes affecting the advertising industry
5. Explain how the communication process and consumer behavior relate to advertising
6. Summarize the structure and the function of the advertising agency industry
7. Identify key ethical, legal and regulatory issues in advertising
8. Describe how diversity, multiculturalism, and technology are important to advertising.

Outcome 2: Upon completion of this course, students will be able to explain the process of developing and implementing media strategies.

Objectives:

1. Distinguish between the types of strategic research and their uses
2. Describe a target market towards which an advertising campaign will be developed
3. List the common research methods used in advertising
4. Differentiate between objectives, strategies, and tactics in strategic planning
5. Explain how account planning works
6. List the key media strategy decisions

Outcome 3: Upon completion of this course, students will be able to explain the media planning process.

Objectives:

1. Outline the basic media concepts used by media planners and buyers
2. Identify the various types of media (traditional, non-traditional and alternative) available to advertisers
3. Contrast the advantages and disadvantages of using different types of traditional, non-traditional and alternative advertising media
4. Demonstrate through technology (i.e. Internet or SRDS database), the ability to select and buy time/space for a variety of media.
5. Outline the key features in an Integrated Marketing Communications plan
6. Create a budget and media plan for a business or organization

Outcome 4: Upon completion of this course, students will be able to identify the fundamentals of the creative side of advertising.

Objectives:

1. Define creative advertising and explain how it leads to a Big Idea
2. Outline and assemble the key parts of a creative brief
3. Describe the characteristics of creative people and their creative process
4. Describe the creative elements of different forms of advertisements
5. Develop and analyze copy and headlines
6. Explain how visual impact is created in different forms of advertising
7. Create a campaign that will fit into an integrated marketing communication program for a business or organization

Outcome 5: Upon completion of this course, students will be able to demonstrate ways to enhance and evaluate advertising.

Objectives:

1. Define how direct marketing and sales promotion can enhance advertising
2. Identify the role and types of public relations
3. Discuss retail advertising and what makes it distinctive
4. Explain the basics of business to business, nonprofit and international advertising
5. Demonstrate why and how advertising evaluation is conducted
6. Identify the key areas of media evaluation

1. Advertising and Society
2. How Advertising Works
3. Advertising Agencies and Their Function

Advertising Strategy and Research

1. Target Audiences
2. Strategic Planning

Media Planning

1. Types of Advertising Media (Print, Out-of-Home, Broadcast, Electronic, and Alternative)
2. Media Buying

Advertising and Creativity

1. Copywriting
2. Design, Layout and Production

Enhancing and Evaluating Advertising

1. Direct Response and Sales Promotion
2. Public Relations
3. Special Advertising Situations
4. Evaluating Advertising Campaigns

MKTG 2060 - Consumer Behavior

Credit Hours: 3.00

Objectives:

1. Discuss how consumer behavior is influenced at the macro level by global issues as well as at the micro level by family and group influences.
2. Describe the affect of cultural and sub-cultural variations in the consumer decision process.
3. Identify and describe key sub-cultures in U.S. society, focusing on differences in buyer behavior.
4. Compare cultural variations in non-verbal communication patterns.
5. Describe changes in U.S. society from the standpoint of demographic distribution and social stratification.
6. Identify values that are emerging in U.S. society and explain their impact on the buying process.
7. Differentiate between U.S. values and values of other cultures.
8. Explain how household and family life cycles influence buyer behavior.
9. Describe group influences on consumer behavior, including reference groups, opinion leaders and word-of-mouth.
10. Create marketing strategies that reflect understanding of the external influences on consumer behavior.

Outcome 2: Upon completion of this course, the student will be able to demonstrate knowledge of internal influences on consumer behavior

Objectives:

1. Describe perception and its role in the buying process.
2. Explain how understanding of perception is important in a variety of marketing contexts, including advertising, retailing, branding, and package design.
3. Describe learning theory as it relates to the consumer buying process.
4. Outline the different theories of motivation and explain how they link to different levels of involvement in the purchase decision process.
5. Describe consumer personality and explain how it relates to brand personality.
6. Describe how emotions are used in marketing and advertising.
7. Identify the components of attitudes and describe how they form and how they change.
8. Describe the meaning of lifestyle analysis and the role it plays in developing marketing strategies.
9. Create marketing strategies that reflect understanding of the internal influences on consumer behavior.

Outcome 3: Upon completion of this course, the student will be able to demonstrate knowledge of the purchase decision process.

Objectives:

1. Describe the significance of the situational context of a purchase decision
2. Explain stages in the consumer decision process, differentiating between low-involvement and high-involvement purchases
3. Define the Problem Recognition stage and offer strategies to discover consumer problems and to help consumers to recognize problems
4. Define the Information Search stage and identify strategies for inclusion in the consumer’s consideration set.
5. Define the Evaluation stage and explain how consumers analyze, compare and make choices
6. Define the Post-purchase stage and offer strategies to reduce dissonance, increase loyalty and build relationships with customers
7. Create marketing strategies that reflect understanding of the purchase decision process

1. Introduction to Consumer Behavior
   1. Applications of consumer behavior
   2. Market analysis: consumers, companies, competitors, market conditions
   3. Market segmentation - definition and overview
   4. Overview of Marketing Strategy: product, price, place, promotion
   5. Introduction to consumer behavior model: external influences, internal influences, and the consumer decision process
2. External Influences on Consumer Behavior
   1. Global cultural factors affecting consumer behavior: language (verbal and non-verbal), demographics, values
   2. U.S. society: changes in values, demographics, subcultures, and household structure - and implications for marketing strategy
   3. Group influences on consumer behavior: types of groups, nature of the influence and implications for marketing strategy
3. Internal Influences on Consumer Behavior
   1. Perception: exposure, attention, interpretation and implications for marketing strategy
   2. Learning: memory, brand image and implications for marketing strategy
   3. Motivation, Personality and Emotion: implications for marketing strategy
   4. Attitudes: components, influences and implications for marketing strategy
   5. Self-concept and lifestyle: definitions, analysis tools like VALS or PRIZM and implications for marketing strategy
4. Consumer Decision Process
   1. Organizational vs. individual consumers
   2. Types of decisions and extensiveness of decision process
   3. Problem recognition and implications for marketing strategy
   4. Information search and implications for marketing strategy
   5. Evaluating choices and making a selection - both for the product and the outlet from which it is purchased
   6. Post-purchase behavior: satisfaction/dissatisfaction, commitment, repurchase

MKTG 2300 - Marketing Strategies

Credit Hours: 3.00

Objectives:

1. Identity measurements and data used in choosing, understanding and growing target markets
2. Identify measurements and data used in developing and implementing product and brand strategy
3. Identify measurements and data used in determining pricing strategy
4. Identify measurements and data used in planning an effective and efficient supply chain and placement decisions
5. Identify measurements and data used in creating a promotional strategy
6. Identify measure and data used in evaluating marketing plan performance

Outcome 2: Model a functioning strategic marketing team

Objectives:

1. Build a team of students
2. Organize and execute team meetings specific to marketing tasks
3. Evaluate each team member’s performance

Outcome 3: Develop and adapt a simulated marketing plan

Objectives:

1. Propose a target market, product/branding strategy, pricing strategy, placement strategy and promotion strategy given simulated marketing data.
2. Analyze the results of strategic marketing decisions
3. Modify the marketing plan based on the analysis of results of decisions made in a marketing simulation
4. Present and defend the marketing plan and its modifications
5. Assess the decisions made in the development and modification of the marketing plan.

1. Marketing Analytics
   1. Target market measures including customer profitability
   2. Marketing plan performance measures
   3. Product and portfolio management measures
   4. Pricing strategy measures
   5. Promotion strategy measures
2. Marketing Team Formation
   1. Team structure and rules
   2. Roles of marketing executives
   3. Executive meetings
3. Marketing Plan Development
   1. Evaluate market opportunities using marketing research data
   2. Create a brand
   3. Develop an advertising campaign
   4. Complete sales office decisions
   5. Run a simulated marketing department

MATH 0050 - Fundamentals of Mathematics

Credit Hours: 3.00

Objectives: Students will perform the following without the use of a calculator:

1. Identify, apply and create numeric examples of the properties of addition and multiplication.
2. Rewrite, simplify and/or perform arithmetic operations on whole numbers and integers.
3. Evaluate expressions containing exponents.
4. Use the order of operations.

Outcome 2: Upon completion of this course, the student will make the transition from arithmetic to algebra.

Objectives: Students will perform the following without the use of a calculator:

1. Evaluate algebraic expressions given replacement values.
2. Translate phrases into variable expressions.

Outcome 3: Upon completion of this course, the student will be able to manipulate and use fractions, mixed numbers and decimals.

Objectives: Students will perform the following without the use of a calculator:

1. Rewrite, simplify and perform arithmetic operations on fractions and decimals.
2. Solve problems containing fractions, decimals and mixed numbers.
3. Write fractions as decimals and decimals as fractions.
4. Find the square root of a number.

Outcome 4: Upon completion of this course, the student will be able to demonstrate a basic working knowledge of algebraic expressions and equations.

Objectives: Students will perform the following without the use of a calculator:

1. Apply the properties of addition and multiplication to simplify or evaluate basic algebraic expressions.
2. Solve simple linear equations in one variable.
3. Write sentences as equations.

Outcome 5: Upon completion of this course, the student will be able to demonstrate a basic working knowledge of ratio, proportion, and measurement.

Objectives: Students will perform the following without the use of a calculator:

1. Write ratios as fractions and use them as a means for measurement.
2. Convert between the English and Metric Systems.
3. Know the meaning of proportion, write sentences as proportions, and solve simple proportion problems.

Outcome 6: Upon completion of this course, the student will be able to solve basic percent problems.

Objectives: Students will perform the following without the use of a calculator:

1. Convert between percents, decimals and fractions.
2. Solve simple percent problems.
3. Solve applications involving percent (sales tax, commission, percent increase or decrease, discount, interest).

Outcome 7: Upon completion of this course, the student will be able to demonstrate a basic knowledge of geometry.

Objectives: Students will perform the following without the use of a calculator:

1. Find perimeters, areas, and volumes of simple geometric figures.
2. Use the Pythagorean theorem to find the missing side of a right triangle.
3. Find the area of a triangle, circumference and area of a circle, and volume of a sphere.

1. Whole Numbers
   1. Properties and Facts of Addition and Multiplication
   2. Order of Operations
2. Algebra
   1. Operations on Integers
   2. Algebraic Expressions
   3. Properties of Exponents
   4. Operations on Polynomials
3. Fractions
   1. Properties of Fractions
   2. Operations with Fractions; Applications; Area of a Triangle
   3. Operations with Mixed Numerals
   4. Complex Fractions
4. Equations
   1. Properties of Equality
   2. Linear Equations in One Variable; Applications
   3. Evaluating Formulas
5. Decimals
   1. Operations with Decimals
   2. Circumference and Area of a Circle; Volume of a Sphere
   3. Square Roots and the Pythagorean Theorem
   4. Simplifying Square Roots
6. Ratio, Proportion, and Measurement
   1. Ratios and Their Application to Measurement: Part I
   2. Ratios and Their Application to Measurement: Part II
   3. Conversion Between the English and Metric Systems
   4. Proportions and Their Applications
7. Percent
   1. Percents, Decimals and Fractions: Basic Percent Problems
   2. General Applications of Percent
   3. Sales Tax and Commission
   4. Percent Increase or Decrease; Discount; Interest
8. Geometry
   1. Perimeter, Area and Volume of Simple Geometric Figures

MATH 0070 - Beginning Algebra

Credit Hours: 3.00

Objectives: Students will perform the following without the use of a calculator:

1. Solve and check first degree equations in one variable by using field properties of the reals.
2. Use the properties of equality to solve equations.
3. Use the properties of inequality to solve first degree inequalities and display solutions on a number line, set-builder notation, and interval notation.
4. Solve formulas for any variable and evaluate such formulas for different values of the variables.
5. Convert word problems into equations and solve and check.

Outcome 2: Upon completion of this course, students will be able to graph linear equations and linear inequalities in two variables.

Objectives: Students will perform the following without the use of a calculator:

1. Locate points in a Cartesian plane and know terminology such as x and y coordinates, origin, quadrant.
2. Graph a line by point-plotting.
3. Graph a line by finding its intercepts.
4. Determine the slope of a line.
5. Write equation into slope-intercept form and graph.
6. Find equation of a line using point-slope form and slope-intercept form.
7. Determine whether lines are parallel, perpendicular, or neither.
8. Find an equation of a parallel or perpendicular line.
9. Graph linear inequalities.

Outcome 3: Upon completion of this course, students will be able to solve systems of equations and inequalities.

Objectives: Students will perform the following without the use of a calculator:

1. Use the graph of a system of equations to determine the nature of the solutions.
2. Solve systems of 2 equations with 2 unknowns using substitution.
3. Solve systems of 2 equations with 2 unknowns using elimination.
4. Solve systems of linear inequalities by graphing in two variables.
5. Use systems to solve applications.

Outcome 4: Upon completion of this course, students will be able to simplify expressions involving integer exponents.

Objectives: Students will perform the following without the use of a calculator:

1. Use the basic properties of exponents when the exponents are integers to simplify expressions.
2. Write real numbers in scientific notation and vice versa.

Outcome 5: Upon completion of this course, students will be able to perform operations on polynomials.

Objectives: Students will perform the following without the use of a calculator:

1. Identify and evaluate polynomials.
2. Add and subtract polynomials.
3. Multiply polynomials.
4. Divide a polynomial by a monomial.

Outcome 6: Upon completion of this course, students will be able to factor polynomials.

Objectives: Students will perform the following without the use of a calculator:

1. Factor out the greatest common factor.
2. Factor by grouping.
3. Factor trinomials of the form ax2 + bx + c when a = 1.
4. Factor trinomials of the form ax2 + bx + c when a not equal to 1.
5. Factor difference of squares, perfect square trinomials, sum and difference of cubes.
6. Solve quadratic equations by factoring.

Outcome 7: Upon completion of this course, students will be able to perform operations on radicals

Objectives: Students will perform the following without the use of a calculator:

1. Simplify radicals.
2. Add, subtract, and multiply radicals.

1. Equations and Inequalities
   1. Solve linear equations in one variable
   2. Solve literal equations in one variable
   3. Solve and graph linear inequalities in one variable
   4. Solve quadratic equations in one variable by factoring
   5. Solve equations involving rational expressions
   6. Solve applied problems including motion, percent, mixture, and angle problems
2. Linear Equations in Two Variables
   1. Graph lines
      1. Point-plotting
      2. Intercepts
      3. Slope-intercept form
   2. Slope of a line
   3. Equation of a line
      1. Slope-intercept form
      2. Point-slope form
      3. Standard form
   4. Parallel and perpendicular lines
   5. Graph linear inequalities
3. Systems of Equations and Inequalities
   1. Solve systems of two equations in two variables by graphing.
   2. Solve systems of two equations in two variables by substitution.
   3. Solve systems of two equations in two variables by elimination.
   4. Solve systems of linear inequalities by graphing in two variables.
   5. Applications
4. Exponents
   1. Properties of positive integral exponents
   2. Definition and use of the zero exponent
   3. Definition and use of negative integral exponents
   4. Scientific notation
5. Polynomials
   1. Terminology associated with polynomials
   2. Add and subtract polynomials
   3. Multiply polynomials
   4. Divide polynomials by monomial
6. Factor Polynomials
   1. Greatest common factor
   2. Grouping
   3. Trinomials
   4. Difference of squares, perfect square trinomials, sum and difference of cubes
7. Roots and Radicals
   1. Simplify expression s containing square root radicals
   2. Addition, subtraction, and multiplication of expressions involving square roots

MATH 1000 - Intermediate Algebra

Credit Hours: 4.00

Objectives: Students will perform the following without the use of a calculator:

1. Solve systems of 3 equations with 3 unknowns (with elimination)
2. Applications.

Outcome 2: Upon completion of the course, the student will be able to solve rational equations.

Objectives: Students will perform the following without the use of a calculator:

1. Simplify rational expressions.
2. Add and subtract rational expressions with like and unlike denominators.
3. Multiply and divide rational expressions.
4. Simplify complex fractions.
5. Solve rational equations and check for extraneous solutions.
6. Solve applications with rational equations.

Outcome 3: Upon completion of the course, the student will be able to evaluate functions.

Objectives: Students will perform the following without the use of a calculator:

1. Determine when a relation is a function.
2. Evaluate functions.
3. Find domain and range of a function.

Outcome 4: Upon completion of the course, the student will be able to solve absolute value equations and inequalities.

Objectives: Students will perform the following without the use of a calculator:

1. Solve absolute value equations.
2. Solve absolute value inequalities.
3. Determine when an absolute value or inequality has no solution or infinite solutions.

Outcome 5: Upon completion of the course, the student will be able to solve radical equations.

Objectives: Students will perform the following without the use of a calculator:

1. Use properties of rational exponents.
2. Convert rational exponents to radical form and vice versa.
3. Simplify and perform basic operations on radicals.
4. Solve equations with rational exponents and radicals.
5. Perform basic operations on complex numbers.

Outcome 6: Upon completion of the course, the student will be able to solve quadratic equations.

Objectives: Students will perform the following without the use of a calculator:

1. Solve quadratic equations by factoring, completing the square, square root property, and quadratic formula.
2. Solve equations in quadratic form.
3. Solve applications with quadratic equations.
4. Find the vertex of a parabola and graph.
5. Solve quadratic and rational inequalities.

Outcome 7: Upon completion of the course, the student will be able to graph circles.

Objectives: Students will perform the following without the use of a calculator:

1. Find the distance between two points using the distance formula.
2. Identify the center and radius of a circle.
3. Graph a circle.

Outcome 8: Upon completion of the course, the student will be able to solve logarithmic and exponential equations.

Objectives: Students will perform the following without the use of a calculator:

1. Convert expressions from exponential form to logarithmic form and vice versa.
2. Evaluate logarithms.
3. Use properties of logarithms to expand and condense logarithmic expressions.
4. Solve exponential and logarithmic equations.
5. Solve applications using exponential and logarithmic equations.

1. Review
   1. Systems of equations in two variables
   2. Graph lines using slope-intercept form
   3. Factor polynomials
2. Systems of Linear Equations in Three Variables
   1. Solve systems of equations in three variables
   2. Applications
3. Rational Expressions and Equations
   1. Simplify rational expressions
   2. Add, subtract, multiply, and divide
   3. Simplify complex fractions
   4. Rational equations
   5. Applications
4. Functions
   1. Relations
   2. Vertical Line Test
   3. Evaluate functions
   4. Domain and range
5. Absolute Value Equations and Inequalities
   1. Equations
   2. Inequalities
6. Exponents, Radicals and Complex Numbers
   1. Rational exponents
   2. Simplify radicals
   3. Add, subtract, multiply, and divide radicals
   4. Solve equations with radicals
   5. Complex numbers
7. Quadratic Equations and Functions
   1. Solve quadratic equations by
      1. Factoring
      2. Square Root Property
      3. Completing the square
      4. Quadratic formula
   2. Solve equations in quadratic form
   3. Applications
   4. Solve quadratic and rational inequalities
   5. Graph parabolas
8. Circles
   1. Use distance formula
   2. Find center and radius of a circle and graph
9. Exponents and Logarithms
   1. Convert between exponential and logarithmic forms
   2. Evaluate logarithms
   3. Expand and condense logarithmic expressions
   4. Solve exponential and logarithmic equations
   5. Applications

MATH 1100 - Everyday Mathematics

Credit Hours: 4.00

Objectives:

1. Identify and model Euler circuit and Euler path problems.
2. Define basic graph terminology.
3. Use Euler’s Theorem to classify which graphs have Euler circuits and paths.
4. Eulerize graphs when necessary.
5. Identify and model Hamiltonian circuit and Hamiltonian path problems.
6. Recognize complete graphs and state the number of possible Hamiltonian circuits using counting principles.
7. Use brute force, nearest-neighbor, and sorted-edges algorithms to find minimum-cost solutions to traveling salesmen problems.
8. Find minimum-cost spanning trees using Kruskal’s algorithm.
9. Resolve scheduling conflicts using the chromatic number and coloring.

Outcome 2: Upon completion of the course, students will be able collect and organize data into a table and construct appropriate charts and plots to display the data.

Objectives:

1. Identify sampling methods.
2. Identify experimental methods.
3. Create and interpret a histogram.
4. Create and interpret a stemplot.
5. Create and interpret a boxplot.

Outcome 3: Upon completion of the course, students will be able to define, interpret, and calculate measures of central tendency.

Objectives:

1. Find and interpret the shape, center, spread, and outliers of a histogram.
2. Find and interpret the mean and median of a data set.
3. Find and interpret quartiles.
4. Find and interpret the standard deviation and variance from a data set
5. Find and interpret the spread of data of a normal distribution using 68-95-99.7 Rule

Outcome 4: Upon completion of the course, students will be able to display and interpret linear relationships between two variables using regression.

Objectives:

1. Create a scatterplot.
2. Make a prediction using a regression line.
3. Find the equation of the least-squares regression line identifying slope, y-intercept, and correlation with a scientific calculator.
4. Interpret the correlation between two variables.

Outcome 5: Upon completion of the course, students will be able to compute basic probabilities and interpret probability models.

Objectives:

1. Find and interpret the probability of events that are mutually exclusive.
2. Find and interpret the probability of events using complements.
3. Find and interpret the probability of events using counting methods.

Outcome 6: Upon completion of the course, students will be able to demonstrate a working knowledge of various voting systems.

Objectives:

1. Implement the majority rule voting system and identify its advantages in a two-candidate voting system.
2. Implement Condorcet’s Method and know its paradox.
3. Implement the plurality, Borda count, sequential pairwise voting, Hare system, and plurality runoff voting systems for three or more candidates.
4. Manipulate the plurality, Borda count, sequential pairwise voting, Hare system and plurality runoff voting systems.

Outcome 7: Upon completion of the course, students will be able to use methods of division and apportionment to allocate resources fairly.

Objectives:

1. Apply the adjusted winner procedure for two parties.
2. Apply the Knaster inheritance procedure for more than two parties.
3. Explain the basic apportionment problem.
4. Implement the Hamilton Method.

Outcome 8: Upon completion of the course, students will be able to recognize various types of information located in identification numbers

Objectives:

1. Identify the check digit on a traveler’s check, Universal Product Code, bank routing number, and International Standard Book Number and determine if the item is fraudulent.
2. Identify the information contained in a UPC bar code.
3. Identify personal data in a driver’s license number.

Outcome 9: Upon completion of the course, students will be able to decipher encrypted messages.

Objectives:

1. Use Caesar cipher to decipher a message.
2. Use Viegnère cipher to decipher a message.
3. Solve a cryptogram by recognizing frequent letters and words.

Outcome 10: Upon completion of the course, students will be able to classify patterns.

Objectives:

1. Generate the Fibonacci sequence and identify some of its properties.
2. Identify relationships between the Fibonacci sequence and the golden ratio.

Outcome 11: Upon completion of the course, students will be able to use finance and population models.

Objectives:

1. Apply simple interest formula to finance problems.
2. Apply compound interest formula to finance problems.
3. Apply continuous compounding interest formula to finance problems.

1. Graph Theory (8 hours)
   1. Euler paths and circuits
   2. Euler’s Theorem
   3. Eulerize graphs
   4. Hamiltonian paths and circuits
   5. Use various algorithms to find minimum-cost solutions
      1. Brute-force
      2. Nearest-neighbor
      3. Sorted-edges
   6. Kruskal’s algorithm
   7. Use chromatic number to resolve scheduling conflicts
2. Describing and Interpreting Data (8 hours)
   1. Types of sampling methods
   2. Graphs
      1. Histogram
      2. Stemplot
      3. Boxplot
   3. Measures of center
   4. Measures of variance
3. Linear Regression (4 hours)
   1. Scatterplot
   2. Correlation
   3. Predict using regression line
   4. Least-Squares regression line
4. Probability (6 hours)
   1. Basic probability
   2. Counting
   3. Addition Rule
   4. Multiplication Rule
5. Voting Systems (8 hours)
   1. Majority rule
   2. Condorcet’s Method and paradox
   3. Systems for 3 or more candidates
      1. Plurality
      2. Borda count
      3. Sequential pairwise voting
      4. Hare system
      5. Plurality runoff
   4. Manipulation of voting system
6. Division and Apportionment (6 hours)
   1. Adjusted winner procedure
   2. Knaster inheritance procedure
   3. Apportionment
      1. Basic apportionment problem
      2. Hamilton method
7. Identification Numbers (4 hours)
   1. Check digits
   2. UPC bar codes
   3. Driver’s license numbers
8. Encryption (4 hours)
   1. Caesar cipher
   2. Viegnère cipher
   3. Cryptograms
9. Patterns and Symmetries (2 hours)
   1. Fibonacci sequence
   2. Golden ratio
10. Finance and Population Models (2 hours)
    1. Simple interest
    2. Compound interest
    3. Continuous compound interest Total 52 hours with 12 hours available for tests.

MATH 1280 - Mathematics for Education 1

Credit Hours: 4.00

Objectives:

1. Demonstrate knowledge of mathematical relationships.
2. Use various problem-solving strategies.

Outcome 2: Upon completion of this course, the student will be able to demonstrate working knowledge of sets.

Objectives:

1. Use the vocabulary and symbols of language sets.
2. Demonstrate knowledge of union, intersection, and complements.
3. Use the Cartesian product.
4. Use Venn diagrams as a problem-solving tool.

Outcome 3: Upon completion of this course, the student will be able to demonstrate working knowledge of logic.

Objectives:

1. Use truth tables.
2. Use Euler circles.
3. Use the converse of a statement.
4. Use the vocabulary of logic inductive and deductive reasoning.
5. Use logic, inductive and deductive reasoning to problem solve.

Outcome 4: Upon completion of this course, the student will be able to demonstrate working knowledge of numerations systems.

Objectives:

1. Demonstrate knowledge of historic numeration systems.
2. Use numbers in decimal and non-decimal bases.
3. Explain the uses of the various types of calculations as problem-solving tools.
4. Explain the uses of the various types of calculators.
5. Use scientific calculator as a problem-solving tool.

Outcome 5: Upon completion of this course, the student will be able to demonstrate working knowledge of number theory

Objectives:

1. Use the vocabulary of number theory.
2. Use number theory as a problem-solving tool.

Outcome 6: Upon completion of this course, the student will be able to demonstrate working knowledge of extensions of the number system.

Objectives:

1. Demonstrate a working knowledge of operations with integers, rational numbers and real numbers
2. Represent fractions, decimals, and fractional operations pictorially.
3. Use ratio, percent, and scientific notation.
4. Use real numbers to problem solve.

1. Problem Solving
   1. An introduction to problem solving
   2. Problem solving strategies
   3. Practice using problem-solving strategies
2. An introduction to sets
   1. Vocabulary, set notation, and symbols
   2. Set union, intersection, and complements
   3. The Cartesian product
   4. Venn diagrams
   5. Problems solving using sets
3. Relations and functions
   1. Is a set of ordered pairs a function?
   2. Various methods of expressing a function
   3. Types of functions
      1. Linear functions
      2. Discrete and continuous functions
      3. Break-even points
      4. Other types of functions
   4. Problem solving using functions
4. An introduction to logic
   1. Truth tables
   2. Euler circles
   3. The converse of a statement
   4. Deductive and inductive reasoning
   5. Problem solving using logic
5. Numeration Systems
   1. Numeration systems and place value
      1. Historic numeration systems
      2. Base ten
      3. Bases other than ten
      4. Regrouping
      5. Expanded base ten notation
      6. Pictorial representation of base ten numbers
   2. Addition and subtraction
   3. Multiplication and division
   4. Estimation and rounding
   5. Technology
      1. Various types of calculators
         1. Serial Logic
         2. Scientific calculators
         3. Graphic calculators
      2. Symbolic logic calculators
   6. Problem solving using whole numbers
6. An Introduction to Number Theory
   1. Tests for divisibility in base ten
   2. Prime and composite numbers
   3. Highest common factor and lowest common multiple
   4. Problem solving using number theory
7. Extensions of the Number System
   1. Operations with integers, rational numbers, and real numbers
   2. Pictorial representation of fractions and decimals
   3. Pictorial representation of fractional operations
   4. Ratio, percent, and scientific notation
   5. Problem solving using real numbers

MATH 1290 - Mathematics for Education 2

Credit Hours: 4.00

Objectives: During the course, students will:

1. Describe data using tables and charts.
2. Compute measures of center, variation, and position for a set of data.
3. Use normal distribution to solve statistical problems.
4. Use technology to solve statistical problems.

Outcome 2: Upon completion of this course, the student will be able to demonstrate working knowledge of probability.

Objectives: During the course, students will:

1. Describe the sample space for an experiment.
2. Use sample space to determine the probability of various outcomes.
3. Apply the rules of probability to solve problems.
4. Use simulation to solve probability problems.

Outcome 3: Upon completion of this course, the student will be able to demonstrate working knowledge of geometric concepts and relationships.

Objectives: During the course, students will:

1. Describe the properties of plane and solid geometric figures.
2. Apply symmetries, rotations, and translations to solve geometric problems.

Outcome 4: Upon completion of this course, the student will be able to demonstrate working knowledge of measurement.

Objectives: During the course, students will:

1. Use non-standard, customary, and metric measurement systems.
2. Compute the area and perimeter of plane geometric objects.
3. Compute the surface area and volume of solid geometric objects.

Outcome 5: Upon completion of this course, the student will be able to demonstrate working knowledge of congruence and construction.

Objectives: During the course, students will:

1. Use congruent triangles to solve geometric problems.
2. Use a physical or virtual straight edge and compass to construct various plane geometric figures.

1. Data analysis and statistics
   1. Describing and interpreting data
   2. Charts and graphs
   3. Measures of center
   4. Measures of variation and position
   5. The normal distribution
   6. Statistics and technology
   7. Problem solving using statistics
2. Probability
   1. Sample spaces and single-stage experiments
   2. Multi-state experiments
   3. The rules of probability
   4. Simulation activities
   5. Problem solving suing probability
3. Geometric concepts and relationships
   1. Plane figures
   2. Properties of polygons
   3. Space figures
   4. Symmetric figures and tessellations
   5. Problem solving using geometry
4. Measurement
   1. Systems of measurement
      1. Historic measurements
      2. Non-standard measurements
      3. The metric system
      4. Customary measurements
   2. Area and perimeter
   3. Volume and surface area
   4. Problem solving using measurements
5. Congruence and construction
   1. Congruence and constructions
   2. Similar figures
   3. Problem solving using congruence

MATH 1340 - Statistics

Credit Hours: 4.00

Objectives: Students will:

1. Identify types of data.
2. Identify levels of measurement.
3. Identify sampling methods.
4. Create a frequency distribution.
5. Create a histogram.
6. Create a Pareto chart.
7. Create a stem-and-leaf.
8. Create a box-plot.

Outcome 2: Upon completion of this course, students will be able to define, interpret, and calculate measures of central tendency, dispersion, and position.

Objectives: Students will find and interpret:

1. The mean, median, mode, and midrange from a data set or frequency table.
2. The standard deviation, variance, and range from a data set or frequency table.
3. Quartiles, deciles, and percentiles.

Outcome 3: Upon completion of this course, students will be able to compute probabilities by applying the addition rule, multiplication rule, complement rule, and counting rules.

Objectives: Students will:

1. Find and interpret the probability of events that are mutually exclusive.
2. Find and interpret the probability of events that are not mutually exclusive.
3. Find and interpret the probability of events that are dependent.
4. Find and interpret the probability of events that are independent.
5. Find and interpret the probability of events using complements.
6. Apply counting methods.
7. Find and interpret the probability of events using counting methods.

Outcome 4: Upon completion of this course, students will be able to create, use, and interpret probability distributions, binomial probability distributions, normal probability distributions, student t distributions, and Chi-square distributions.

Objectives: Students will:

1. Create, use, and interpret a probability distribution.
2. Find and interpret the mean and standard deviation for a probability distribution.
3. Create, use, and interpret a binomial probability distribution.
4. Find and interpret the mean and standard deviation for a binomial probability distribution.
5. Create, use, and interpret a normal probability distribution.
6. Use and interpret the student t distribution.
7. Use and interpret the Chi-square distribution.

Outcome 5: Upon completion of this course, students will be able to create confidence intervals and test hypotheses about a mean or a proportion from a single sample or from two samples and arrive at a statistical decision and be able to estimate sample size.

Objectives: Students will:

1. Create and interpret a confidence interval about one population mean.
2. Create and interpret a confidence interval about one population proportion.
3. Test and interpret a claim about a population mean.
4. Students will be able to test and interpret a claim about a population proportion.
5. Test and interpret a claim about two population means.
6. Determine sample size to estimate a population mean.

Outcome 6: Upon completion of this course, students will be able to explain what is meant by correlation and regression, and be able to compute the Pearson correlation coefficient for a sample and draw inferences about the population correlation coefficient.

Objectives: Students will:

1. Compute the Pearson correlation coefficient for a sample.
2. Test and interpret a claim about linear correlation.
3. Create and interpret the equation of the regression line.
4. Find the best predicted y-value for a given x-value.

Outcome 7: Upon completion of this course, students will be able to test a hypothesis about a multinomial experiment that can be expressed by a contingency or goodness-of-fit table and be able to explain the results.

Objectives: Students will:

1. Use and interpret the goodness-of-fit test from a multinomial experiment.
2. Use and interpret the test for independence from a contingency table.

Outcome 8: Upon completion of this course, students will be able to construct a control chart for individual values, means, variations, or proportions and be able to interpret control chart to determine whether or not a process is out of statistical control.

Objectives: Students will create and interpret a:

1. Runs chart.
2. X chart.
3. R chart.

Outcome 9: Upon completion of this course, students will be able to use nonparametric tests.

Objectives: Students will create and interpret the:

1. Runs test for randomness for n1 <= 20 and n2 <=20.
2. Sign test for n <=25.
3. Rank correlation test for n <= 30.

1. Introduction to Statistics
   1. Types of Data
   2. Types of Sampling Methods
2. Describing and Interpreting Data
   1. Frequency Tables
   2. Graphs
   3. Measures of Center *
   4. Measures of Variation *
   5. Measures of Position
   6. Exploratory Data Analysis *
3. Probability
   1. Basic Probability
   2. Addition Rule
   3. Multiplication Rule
   4. Counting
4. Probability Distributions
   1. Random Variables
   2. Binomial Probability Distribution
   3. Mean and Standard Deviation for a Binomial Distribution
   4. Poisson Distribution
5. Normal Probability Distributions
   1. Standard Normal Distribution
   2. Nonstandard Normal Distribution
   3. Central Limit Theorem
   4. Normal Distribution as Approximation to Binomial Distribution
6. Confidence Intervals and Sample Size
   1. Estimating a Population Mean: Large Samples *
   2. Estimating a Population Mean: Small Samples *
   3. Estimation a Population Proportion *
   4. Determining sample size
7. Hypothesis Testing
   1. Testing a Claim about One Mean: Large Samples *
   2. Testing a Claim about One Mean: Small Samples *
   3. Testing a Claim about One Proportion *
8. Inferences from Two Samples
   1. Inferences about Two Means: Independent and Large Samples *
   2. Inferences about Two Means: Matched Pairs *
   3. Inferences about Two Proportions *
9. Correlation and Regression
   1. Correlation *
   2. Regression *
10. Multinomial Experiments and Contingency Tables
    1. Goodness-Of-Fit
    2. Contingency Tables
11. Statistical Process Control
    1. Control Charts for Variation
    2. Control Charts for Mean
    3. Control Charts for Attributes
12. Nonparametric Tests
    1. Sign Test
    2. Rank Correlation
    3. Runs Test for Randomness

* These topics will now have time available for the use of additional technology, such as Minitab, Excel, and Graphing calculators.

MATH 1360 - Finite Mathematics

Credit Hours: 4.00

Objectives

1. Identify functions specified by equations.
2. Use function notation to represent and evaluate functions at given values.
3. Identify linear and quadratic equations and apply their use to business applications.

Outcome 2: Upon completion of this course, the student will be able to apply knowledge of exponential and logarithmic functions in the areas of business, life sciences, and social sciences.

Objectives:

1. Identify and graph exponential functions.
2. Identify and graph logarithmic functions.
3. Apply exponential and logarithmic functions to business, life sciences, economics, and social sciences.

Outcome 3: Upon completion of this course, the student will be able to use simple interest, compound interest, and ordinary annuity formulas to find present value or future value of money and find amortization and sinking fund payments.

Objectives

1. Apply the simple interest formula in finance problems.
2. Apply the compound interest formula in finance problems.
3. Apply the future value formula in problems involving annuities and sinking funds.
4. Apply the present value formula in problems involving annuities and amortization.

Outcome 4: Upon completion of this course, the student will be able to use matrix methods to solve systems of equations and linear programming problems.

Objectives:

1. Solve systems of linear equations using matrices.
2. Apply the algebra of matrices to applications.
3. Solve linear programming problems in two variables geometrically.
4. Solve linear programming problems using the Simplex Method.

Outcome 5: Upon completion of this course, the student will be able to apply the concepts of counting, probability, and probability distributions to find the probability of events in the context of business, life science, and social science.

Objectives:

1. Apply basic counting principles to problems of probability.
2. Describe sample spaces and find probability of events.
3. Describe random variables and their distributions.
4. Solve probability problems using Empirical probabilities.
5. Solve applied problems in conditional probability and determine if events are independent.

1. Elementary Functions
   1. Linear functions
      1. Form of Linear Functions
      2. Graphs of Linear Functions
      3. Applications of Functions
   2. Quadratic Functions
      1. Form of Quadratic Functions
      2. Graphs of Quadratic Functions
      3. Applications of Quadratic Functions
   3. Polynomial and Rational Functions
      1. Graphs of Polynomial and Rational Functions
      2. Applications of Polynomial and Rational Functions
   4. Logarithmic and Exponential Functions
      1. Properties of Logarithmic and Exponential Functions
      2. Applications of Logarithmic and Exponential Functions
2. Mathematics of Finance
   1. Simple Interest
   2. Compound Interest
   3. Future Value of Ordinary Annuities and Sinking Funds
   4. Present Value of Ordinary Annuities and Amortization
3. Matrices
   1. Using Matrices to Solve Systems of Linear Equations
      1. Augmented Matrices
      2. Gauss-Jordan Elimination
   2. Matrix Equations
   3. Linear Programming and the Simplex Method
4. Probability
   1. Basic Counting Principles
   2. Permutations and Combinations
   3. Probability Experiments
   4. Random Variable and Probability Distributions

MATH 1370 - Calculus for Business & Social Sciences

Credit Hours: 4.00

Objectives

1. Students will use the power, addition, and subtraction rules to differentiate appropriate functions.
2. Students will use the product and quotient rules to differentiate appropriate functions.
3. Students will use the chain rule to differentiate appropriate functions.

Outcome 2: Upon successful completion of this course, students will be able to demonstrate basic knowledge of integration of functions.

Objectives:

1. Students will use the basic integration rules to integrate appropriate functions.
2. Students will use the substitution technique to integrate appropriate functions.

Outcome 3: Upon successful completion of this course, students will be able to demonstrate their ability to apply calculus to solve problems.

Objectives

1. Students will find instantaneous rates of change.
2. Students will solve minimum and maximum problems.
3. Students will find areas of regions bounded by functions and vertical lines.

1. Functions
   1. Domain and Range of Functions
   2. Graphs of Functions
   3. Slope of Linear Functions
2. Differentiation
   1. Limits and Continuity of Functions
      1. Calculating Limits Numerically
      2. Calculating Limits Graphically
      3. Calculating Limits Analytically
   2. Rates of Change
      1. Average Rate of Change
      2. Instantaneous Rate of Change
   3. Derivatives of Functions
      1. Definition of Derivative
      2. Differentiation Theorems
      3. Application of Derivatives
   4. Derivatives of Exponential and Logarithmic Functions
3. Integration of Functions
   1. Indefinite Integration
   2. Definite Integration
   3. Area Using Integration
   4. Methods of Integration
   5. Applications of Integration

MATH 1415 - Precalculus I: College Algebra

Credit Hours: 4.00

Objectives: The student will:

1. Determine domain, range, intercepts, and graph a function by plotting points.
2. Determine if a relation is a function.
3. Demonstrate a working knowledge of function notation and terminology.
4. Perform operations on functions including the difference quotient.
5. Demonstrate a working knowledge of the features of the graph of a function.
6. Graph functions using transformations. The functions used should include: x2, x3, |x|, 1/x, 1/x2, square root of x, cube root of x. Use asymptotes to help graph f(x) = 1/x, g(x) = 1/x2, and their transformations.
7. Graph piecewise-defined functions.

Outcome 2: Upon completion of this course, students will be able to demonstrate a working knowledge of polynomial and rational functions.

Objectives: The student will:

1. Recognize polynomial and rational functions and determine domain and range of these functions.
2. Graph quadratic functions using its vertex, intercepts, and axis of symmetry.
3. Graph power functions using transformations.
4. Graph and analyze higher order polynomial functions (use end behavior, zeros, and sign tests).
5. Find all zeros using Rational Roots Theorem and division of polynomials.
6. Use quadratic and polynomial functions in various applications.
7. Graph rational functions using asymptotes, zeros, and sign tests.

Outcome 3: Upon completion of this course, students will be able to demonstrate a working knowledge of exponential and logarithmic functions.

Objectives: The student will:

1. Demonstrate a working knowledge of the definition of an exponential function.
2. Demonstrate a working knowledge of the definition of a logarithm, including the fact that logarithmic and exponential functions are inverses.
3. Use the laws of exponents and properties of logarithms to simplify or evaluate expressions.
4. Graph exponential and logarithmic functions using transformations.
5. Determine domain and range of exponential and logarithmic functions.
6. Use the numbers 10 and e as bases for exponential and logarithmic functions.
7. Use properties of logarithms to expand and condense logarithmic expressions.
8. Solve exponential and logarithmic equations.
9. Solve applications such as exponential growth/decay and other applications in physical science.

Outcome 4: Upon completion of this course, students will be able to demonstrate a working knowledge of the equations and graphs of conic sections.

Objectives: The student will:

1. Find the center and radius of a circle from its equation and graph.
2. Find the vertex, focus, and directrix of a parabola from its equation and graph.
3. Identify key features of the ellipse and hyperbola including the center, foci, vertices, and asymptotes from their equations and graph.
4. Convert equations of conic sections from general form to standard form.
5. Identify a conic section from its equation.
6. Find an equation of a conic section from its graph.

1. Review of Fundamentals of Algebra
   1. Linear and nonlinear equations and inequalities
   2. Absolute value equations and inequalities
   3. Radical equations
   4. Equations and graphs of lines
2. Functions
   1. Evaluate a function
   2. Sum, difference, product, quotient, and composition of two functions
   3. Difference quotient
   4. The graph of a function
      1. Vertical Line Test
      2. Domain, range, and intercepts
      3. Symmetry
      4. Even and odd
      5. Increasing, decreasing, and constant
      6. Local and absolute extrema
   5. Evaluate and graph piecewise-defined functions
   6. Graph functions using transformations
      1. Vertical and horizontal shifting
      2. Reflection
      3. Stretching and compressing
3. Polynomial and Rational Functions
   1. Quadratic functions
      1. Graph using vertex, axis of symmetry, and intercepts
      2. Maximum and minimum value
      3. Quadratic models and optimization
   2. Graph power functions using transformations
   3. Zeros of a polynomial function
      1. Remainder, factor, and rational root theorems
      2. Division of polynomials including synthetic division
      3. Fundamental Theorem of Algebra
      4. Complex zeros and conjugate pairs
   4. Graph higher-degree polynomial functions
      1. End behavior (Leading Term Test)
      2. Zeros and their multiplicity
      3. Sign tests
   5. Graph rational functions
      1. Domain
      2. Vertical and horizontal asymptotes (optional: slant asymptotes)
      3. Graph y = 1/x and y = 1/x^2 using transformations, intercepts, and asymptotes
      4. Graph other rational functions using intercepts, symmetry, asymptotes, and sign tests
4. Exponential and Logarithmic Functions
   1. One-to-one and inverse functions
   2. Evaluate exponential functions including base 10 and e
   3. Evaluate logarithmic expressions including base 10 and e
   4. Graph exponential and logarithmic functions using domain, intercepts, asymptotes, and transformations
   5. Properties of logarithms including product, quotient, and power rules
   6. Solve exponential and logarithmic equations
   7. Financial and exponential growth and decay models
5. Conic Sections
   1. Graph from standard form of the equation with center/vertex at (h,k)
      1. Circle - use center and radius
      2. Parabola - use vertex, focus, and directrix
      3. Ellipse - use center, vertices, and foci
      4. Hyperbola - use center, vertices, foci, and asymptotes
   2. Find an equation from the graph
   3. Write the standard form of the equation from the general form by completing the square

MATH 1435 - Precalculus II: College Trigonometry

Credit Hours: 3.00

Objectives: The student will:

1. Draw angles in degrees and radians.
2. Convert angles between radians and degrees.
3. Find the arc length of a circle.
4. Find the area of a sector of a circle.
5. Find coterminal and reference angles.

Outcome 2: Upon completion of this course, students will be able to use and apply the trigonometry of right triangles.

Objectives: The student will:

1. Use the sine, cosine, tangent, cotangent, secant, and cosecant ratios to find exact values of trigonometric functions of acute angles.
2. Use the Reciprocal, Quotient, and Pythagorean Identities along with Complementary Angle Theorem to find exact trigonometric values of acute angles.
3. Solve right triangles and right triangle applications.
4. Find the exact values of the trigonometric functions of 30°-60°-90°.
5. Find the exact values of the trigonometric functions of 45°-45°-90°.

Outcome 3: Upon completion of this course, students will be able to evaluate and graph trigonometric functions.

Objectives: The student will:

1. Find the exact values of the six trigonometric functions of any angle using a point on the terminal side of the angle.
2. Determine the signs of the trigonometric functions of an angle in a given quadrant.
3. Use the reference angle to find the exact value of a trigonometric function.
4. Find the exact values of the six trigonometric functions of an angle using its corresponding point on the Unit Circle.
5. Know the domain and range of the six trigonometric functions.
6. Use coterminal angles, periodic properties, and even/odd properties to find exact values of the trigonometric functions.
7. Graph the six trigonometric functions f in the form y=Af(Bx-C)+D.
8. Find an equation of a trigonometric function from its graph.
9. Use the Law of Sines and Law of Cosines to solve non-right triangles and applications.
10. Find the area of a triangle.

Outcome 4: Upon completion of this course, students will be able to demonstrate knowledge of analytic trigonometry.

Objectives: The student will:

1. Know the domain and range of the six inverse trigonometric functions.
2. Find the exact values of inverse trigonometric functions.
3. Find the exact values of composite trigonometric functions involving inverses.
4. Solve trigonometric equations.
5. Establish trigonometric identities using fundamental identities and conjugates.
6. Use the sum, difference, double-angle, and half-angle formulas to find exact values and establish identities.

Outcome 5: Upon completion of this course, students will be able to demonstrate knowledge of and use the polar coordinate system.

Objectives: The student will:

1. Plot points using the polar coordinate system.
2. Convert between polar coordinates and rectangular coordinates.
3. Transform equations between polar and rectangular forms.
4. Graph polar equations by plotting points.

Outcome 6: Upon completion of this course, students will be able to demonstrate knowledge of and use vectors.

Objectives: The student will:

1. Graph vectors.
2. Find a position vector.
3. Add and subtract vectors geometrically and algebraically.
4. Find a scalar multiple of a vector.
5. Find the magnitude of a vector.
6. Find a unit vector.
7. Find the dot product of two vectors.

1. Trigonometric Functions
   1. Angles and their measure
      1. Draw angles in degrees and radians
      2. Convert from degrees to radians
      3. Convert from radians to degrees
      4. Find length of an arc of a circle
      5. Find area of a sector of a circle
      6. Coterminal and reference angles
   2. The Unit Circle
      1. Find the exact values of the six trigonometric functions using a point on the unit circle
      2. Find the exact values of the six trigonometric functions of quadrantal angles
   3. Properties of the trigonometric functions
      1. Find the domain and range of the six trigonometric functions
      2. Find the period of the six trigonometric functions
      3. Find the signs of the six trigonometric functions in a given quadrant
   4. Use transformations to graph y = Asin(Bx-C)+D, y = Acos(Bx-C)+D, y = Atan(Bx-C)+D, y = Acsc(Bx-C)+D, y = Asec(Bx-C)+D, and y= Acot(Bx-C)+D
2. Analytic Trigonometry
   1. Inverse trigonometric functions
      1. Find the domain and range of the 6 inverse trigonometric functions
      2. Find the exact value of all 6 inverse trigonometric functions
      3. Composite functions involving inverses
      4. Write a trigonometric expression as an algebraic expression in u
   2. Establish trigonometric identities
      1. Use fundamental identities
      2. Use a common denominator, factoring, conjugate, or any other algebraic technique
   3. Sum and difference formulas
      1. Find exact values
      2. Establish identities
      3. Find exact values involving inverse trigonometric functions
   4. Double and half-angle formulas
      1. Find exact values
      2. Establish identities
   5. Solving trigonometric equations
      1. Solve equations involving a single trigonometric function
      2. Solve equations involving multiple trigonometric functions
         1. Solve trigonometric equations in quadratic form
         2. Solve trigonometric equations using identities
3. Applications of Trigonometric Functions
   1. Right triangle trigonometric applications
      1. Find the value of trigonometric functions of acute angles
      2. Use the Complementary Angle Theorem
      3. Solve right triangles
      4. Solve applied problems including angles of elevation and depression
   2. Law of Sines
      1. Solve SAA or ASA Triangles
      2. Solve SSA Triangles
      3. Solve Applied Problems
   3. Law of Cosines
      1. Solve SAS Triangles
      2. Solve SSS Triangles
      3. Solve Applied Problems
   4. Area of a triangle
      1. Find the Area of SAS Triangles
      2. Find the Area of SSS Triangles using Heron’s Formula
4. Polar Coordinates
   1. Polar coordinates
      1. Plot points using polar coordinates
      2. Convert from polar coordinates to rectangular coordinates
      3. Convert from rectangular coordinates to polar coordinates
   2. Graph polar equations by plotting points
5. Vectors
   1. Graph Vectors
   2. Find a Position Vector
   3. Add and Subtract Vectors
   4. Find a Scalar Product of a Vector
   5. Find the Magnitude of a Vector
   6. Find a Unit Vector in the direction of the given vector
   7. Find the dot product of two vectors

MATH 1465 - Accelerated Precalculus

Credit Hours: 5.00

Objectives: The student will:

1. Determine domain, range, intercepts, and graph a function by plotting points.
2. Determine if a relation is a function.
3. Demonstrate a working knowledge of function notation and terminology.
4. Perform operations on functions including the difference quotient.
5. Demonstrate a working knowledge of the features of the graph of a function.
6. Graph functions using transformations. The functions used should include: x2, x3, |x|, 1/x, 1/x2, square root of x, cube root of x. Use asymptotes to help graph f(x) = 1/x, g(x) = 1/x2, and their transformations.
7. Graph piecewise-defined functions.

Outcome 2: Upon completion of this course, students will be able to demonstrate a working knowledge of polynomial and rational functions.

Objectives: The student will:

1. Recognize polynomial and rational functions and determine domain and range of these functions.
2. Graph quadratic functions using its vertex, intercepts, and axis of symmetry.
3. Graph power functions using transformations.
4. Graph and analyze higher order polynomial functions (use end behavior, zeros, and sign tests).
5. Find all zeros using Rational Roots Theorem and division of polynomials.
6. Use quadratic and polynomial functions in various applications.
7. Graph rational functions using asymptotes, zeros, and sign tests.

Outcome 3: Upon completion of this course, students will be able to demonstrate a working knowledge of exponential and logarithmic functions.

Objectives: The student will:

1. Demonstrate a working knowledge of the definition of an exponential function.
2. Demonstrate a working knowledge of the definition of a logarithm, including the fact that logarithmic and exponential functions are inverses.
3. Use the laws of exponents and properties of logarithms to simplify or evaluate expressions.
4. Graph exponential and logarithmic functions using transformations.
5. Determine domain and range of exponential and logarithmic functions.
6. Use the numbers 10 and e as bases for exponential and logarithmic functions.
7. Use properties of logarithms to expand and condense logarithmic expressions.
8. Solve exponential and logarithmic equations.
9. Solve applications such as exponential growth/decay and other applications in physical science.

Outcome 4: Upon completion of this course, students will be able to demonstrate a working knowledge of the equations and graphs of conic sections.

Objectives: The student will:

1. Find the center and radius of a circle from its equation and graph.
2. Find the vertex, focus, and directrix of a parabola from its equation and graph.
3. Identify key features of the ellipse and hyperbola including the center, foci, vertices, and asymptotes from their equations and graph.
4. Convert equations of conic sections from general form to standard form.
5. Identify a conic section from its equation.
6. Find an equation of a conic section from its graph.

Outcome 5: Upon completion of this course, students will be able to demonstrate a working knowledge of angles and their measure.

Objectives: The student will:

1. Draw angles in degrees and radians.
2. Convert angles between radians and degrees.
3. Find the arc length of a circle.
4. Find the area of a sector of a circle.
5. Find coterminal and reference angles.

Outcome 6: Upon completion of this course, students will be able to use and apply the trigonometry of right triangles.

Objectives: The student will:

1. Use the sine, cosine, tangent, cotangent, secant, and cosecant ratios to find exact values of trigonometric functions of acute angles.
2. Use the Reciprocal, Quotient, and Pythagorean Identities along with Complementary Angle Theorem to find exact trigonometric values of acute angles.
3. Solve right triangles and right triangle applications.
4. Find the exact values of the trigonometric functions of 30°-60°-90°.
5. Find the exact values of the trigonometric functions of 45°-45°-90°.

Outcome 7: Upon completion of this course, students will be able to evaluate and graph trigonometric functions.

Objectives: The student will:

1. Find the exact values of the six trigonometric functions of any angle using a point on the terminal side of the angle.
2. Determine the signs of the trigonometric functions of an angle in a given quadrant.
3. Use the reference angle to find the exact value of a trigonometric function.
4. Find the exact values of the six trigonometric functions of an angle using its corresponding point on the Unit Circle.
5. Know the domain and range of the six trigonometric functions.
6. Use coterminal angles, periodic properties, and even/odd properties to find exact values of the trigonometric functions.
7. Graph the six trigonometric functions f in the form y=Af(Bx-C)+D.
8. Find an equation of a trigonometric function from its graph.
9. Use the Law of Sines and Law of Cosines to solve non-right triangles and applications.
10. Find the area of a triangle.

Outcome 8: Upon completion of this course, students will be able to demonstrate knowledge of analytic trigonometry.

Objectives: The student will:

1. Know the domain and range of the six inverse trigonometric functions.
2. Find the exact values of inverse trigonometric functions.
3. Find the exact values of composite trigonometric functions involving inverses.
4. Solve trigonometric equations.
5. Establish trigonometric identities using fundamental identities and conjugates.
6. Use the sum, difference, double-angle, and half-angle formulas to find exact values and establish identities.

Outcome 9: Upon completion of this course, students will be able to demonstrate knowledge of and use the polar coordinate system.

Objectives: The student will:

1. Plot points using the polar coordinate system.
2. Convert between polar coordinates and rectangular coordinates.
3. Transform equations between polar and rectangular forms.
4. Graph polar equations by plotting points.

Outcome 10: Upon completion of this course, students will be able to demonstrate knowledge of and use vectors.

Objectives: The student will:

1. Graph vectors.
2. Find a position vector.
3. Add and subtract vectors geometrically and algebraically.
4. Find a scalar multiple of a vector.
5. Find the magnitude of a vector.
6. Find a unit vector.
7. Find the dot product of two vectors.

1. Functions
   1. Evaluate a function
   2. Sum, difference, product, quotient, and composition of two functions
   3. Difference quotient
   4. The graph of a function
      1. Vertical Line Test
      2. Domain, range, and intercepts
      3. Symmetry
      4. Even and odd
      5. Increasing, decreasing, and constant
      6. Local and absolute extrema
   5. Evaluate and graph piecewise-defined functions
   6. Graph functions using transformations
      1. Vertical and horizontal shifting
      2. Reflection
      3. Stretching and compressing
2. Polynomial and Rational Functions
   1. Quadratic functions
      1. Graph using vertex, axis of symmetry, and intercepts
      2. Maximum and minimum value
      3. Quadratic models and optimization
   2. Graph power functions using transformations
   3. Zeros of a polynomial function
      1. Remainder, factor, and rational root theorems
      2. Division of polynomials including synthetic division
      3. Fundamental Theorem of Algebra
      4. Complex zeros and conjugate pairs
   4. Graph higher-degree polynomial functions
      1. End behavior (Leading Term Test)
      2. Zeros and their multiplicity
      3. Sign tests
   5. Graph rational functions
      1. Domain
      2. Vertical and horizontal asymptotes (optional: slant asymptotes)
      3. Graph y = 1/x and y = 1/x^2 using transformations, intercepts, and asymptotes
      4. Graph other rational functions using intercepts, symmetry, asymptotes, and sign tests
3. Exponential and Logarithmic Functions
   1. One-to-one and inverse functions
   2. Evaluate exponential functions including base 10 and e
   3. Evaluate logarithmic expressions including base 10 and e
   4. Graph exponential and logarithmic functions using domain, intercepts, asymptotes, and transformations
   5. Properties of logarithms including product, quotient, and power rules
   6. Solve exponential and logarithmic equations
   7. Financial and exponential growth and decay models
4. Conic Sections
   1. Graph from standard form of the equation with center/vertex at (h,k)
      1. Circle - use center and radius
      2. Parabola - use vertex, focus, and directrix
      3. Ellipse - use center, vertices, and foci
      4. Hyperbola - use center, vertices, foci, and asymptotes
   2. Find an equation from the graph
   3. Write the standard form of the equation from the general form by completing the square
5. Trigonometric Functions
   1. Angles and their measure
      1. Draw angles in degrees and radians
      2. Convert from degrees to radians
      3. Convert from radians to degrees
      4. Find length of an arc of a circle
      5. Find area of a sector of a circle
      6. Coterminal and reference angles
   2. The Unit Circle
      1. Find the exact values of the six trigonometric functions using a point on the unit circle
      2. Find the exact values of the six trigonometric functions of quadrantal angles
   3. Properties of the trigonometric functions
      1. Find the domain and range of the six trigonometric functions
      2. Find the period of the six trigonometric functions
      3. Find the signs of the six trigonometric functions in a given quadrant
   4. Use transformations to graph y = Asin(Bx-C)+D, y = Acos(Bx-C)+D, y = Atan(Bx-C)+D, y = Acsc(Bx-C)+D, y = Asec(Bx-C)+D, and y= Acot(Bx-C)+D
6. Analytic Trigonometry
   1. Inverse trigonometric functions
      1. Find the domain and range of the 6 inverse trigonometric functions
      2. Find the exact value of all 6 inverse trigonometric functions
      3. Composite functions involving inverses
      4. Write a trigonometric expression as an algebraic expression in u
   2. Establish trigonometric identities
      1. Use fundamental identities
      2. Use a common denominator, factoring, conjugate, or any other algebraic technique
   3. Sum and difference formulas
      1. Find exact values
      2. Establish identities
      3. Find exact values involving inverse trigonometric functions
   4. Double and half-angle formulas
      1. Find exact values
      2. Establish identities
   5. Solving trigonometric equations
      1. Solve equations involving a single trigonometric function
      2. Solve equations involving multiple trigonometric functions
         1. Solve trigonometric equations in quadratic form
         2. Solve trigonometric equations using identities
7. Applications of Trigonometric Functions
   1. Right triangle trigonometric applications
      1. Find the value of trigonometric functions of acute angles
      2. Use the Complementary Angle Theorem
      3. Solve right triangles
      4. Solve applied problems including angles of elevation and depression
   2. Law of Sines
      1. Solve SAA or ASA Triangles
      2. Solve SSA Triangles
      3. Solve Applied Problems
   3. Law of Cosines
      1. Solve SAS Triangles
      2. Solve SSS Triangles
      3. Solve Applied Problems
   4. Area of a triangle
      1. Find the Area of SAS Triangles
      2. Find the Area of SSS Triangles using Heron’s Formula
8. Polar Coordinates
   1. Polar coordinates
      1. Plot points using polar coordinates
      2. Convert from polar coordinates to rectangular coordinates
      3. Convert from rectangular coordinates to polar coordinates
   2. Graph polar equations by plotting points
9. Vectors
   1. Graph Vectors
   2. Find a Position Vector
   3. Add and Subtract Vectors
   4. Find a Scalar Product of a Vector
   5. Find the Magnitude of a Vector
   6. Find a Unit Vector in the direction of the given vector
   7. Find the dot product of two vectors

MATH 1760 - Analytic Geometry & Calculus 1

Credit Hours: 4.00

Objectives: Students will:

1. Examine a data table for a function and make reasonable conjectures about limits.
2. Examine the graph of a function and make reasonable conjectures about limits.
3. Recognize indeterminate forms 0/0 and infinity/infinity.
4. Find limits of appropriate functions using the rules of limits.
5. Use limits to determine asymptotes of appropriate functions.
6. Recognize indeterminate forms 0/0 and infinity/infinity, 0*infinity, infinity-infinity, 0^0, 1^infinity, infinity^0 and find limits using L’Hopital’s Rule.

Outcome 2: Upon successful completion of this course, the student will be able to analyze the continuity of a function graphically and analytically.

Objectives: Students will:

1. Examine a function graphically and make reasonable conjectures about continuity at a point.
2. Use the definition to determine whether a function is continuous at a point.
3. Determine the intervals on which a function is continuous.
4. Classify continuities using limits to justify.

Outcome 3: Upon successful completion of this course, the student will be able to calculate the derivative of a function numerically and analytically.

Objectives: Students will:

1. Know the definition of a derivative.
2. Use the definition of a derivative to approximate a derivative numerically.
3. Use the definition of a derivative to find the derivative of an algebraic function.
4. Use the rules and formulas to differentiate appropriate functions.
5. Differentiate exponential and logarithmic functions of any base.
6. Differentiate trigonometric and inverse trigonometric functions.
7. Find the derivative of an implicitly defined function.
8. Use logarithmic differentiation to differentiate functions of the form f(x)^g(x).

Outcome 4: Upon successful completion of this course, the student will be able to calculate antiderivatives and to use them to solve basic differential equations.

Objectives: Students will:

1. Know the relationship between a derivative and an antiderivative.
2. Find the antiderivative of basic functions by rules and substitutions.
3. Solve simple differential equations.

Outcome 5: Upon successful completion of this course, the student will be able to calculate a definite integral numerically and analytically.

Objectives: Students will:

1. Approximate definite integrals by appropriate numerical methods.
2. Find the definite integral of appropriate functions by the Fundamental Theorem of Calculus.

Outcome 6: Upon successful completion of this course, the student will be able to use derivatives obtain tangent lines and to deduce detailed information about the shape of a function’s graph.

Objectives: Students will:

1. Find the equation of the tangent line to the graph of a function at a given point.
2. Write the equation of a tangent line to an implicitly defined function.
3. Determine intervals of increasing and decreasing behavior of appropriate functions.
4. Determine extrema of appropriate functions.
5. Determine concavity of appropriate functions.
6. Sketch the graph of a function using the first and second derivative.

Outcome 7: Upon successful completion of this course, the student will be able to use derivatives to solve appropriate applications.

Objectives: Students will:

1. Use derivatives to solve applications involving extrema.
2. Use derivatives to solve applications involving related rates of change.

Outcome 8: Upon successful completion of this course, the student will be able to use definite integrals to calculate areas.

Objectives: Students will:

1. Use a definite integral to find the area between the graph of a function and the x-axis.
2. Use a definite integral to find the area between the graphs of functions.

1. Review
   1. Lines
   2. Functions and graphs
2. Concepts
   1. Average rate of change
   2. Secant lines
   3. Instantaneous rate of change
   4. Tangent lines
   5. Limits, limits at infinity & infinite limits
   6. The derivative
3. Differentiation
   1. Constants and the power rule
   2. Product & quotient rules
   3. Trigonometric functions
   4. Logarithmic and exponential functions
   5. Inverse trigonometric functions
   6. Composite functions and the chain rule
   7. Implicit differentiation
4. The Derivative and Application
   1. Rates of change
   2. Slope of a tangent line
   3. Related rates
   4. The shape of a graph
   5. The Mean Value Theorem
   6. Optimization
   7. Differentials
   8. Indeterminate forms and L’Hopital’s rule
5. Integration
   1. Indefinite integrals
   2. Integration Rules
   3. Integration by substitution
   4. Differential equations
   5. Riemann sums and the definite integral
   6. The Mean Value and Fundamental Theorems
   7. Numerical Integration
   8. Area between curves

MATH 1770 - Analytic Geometry & Calculus 2

Credit Hours: 4.00

Objectives: Students will:

1. Calculate the volumes of solids of revolution using circular discs and washers.
2. Calculate the volumes of solids of revolution using the cylindrical shells method.

Outcome 2: Upon completion of this course, the student will be able to determine the arc length and the surface area of solids of revolution.

Objectives: Students will:

1. Determine the arc length by using the arc length formula.
2. Use formulas to find the surface area of solids at revolution.

Outcome 3: Upon completion of this course, the student will be able to evaluate integrals using trigonometric substitution, integration by parts, partial fractions, and by the integral tables.

Objectives: Students will:

1. Evaluate integrals using trigonometric substitution.
2. Use the trigonometric formulas from memory.
3. Evaluate integrals using integration by parts and the tabular method.
4. Evaluate integrals by utilizing partial fractions.
5. Evaluate the integrals for powers of trigonometric functions.

Outcome 4: Upon completion of this course, the student will be able to evaluate improper integrals.

Objectives: Students will:

1. Recognize improper integrals.
2. Recognize if an improper integral is convergent or divergent.
3. Evaluate an improper integrals with a discontinuous integrand, as well as one with an unbounded domain.
4. Use the direct comparison test.

Outcome 5: Upon completion of this course, the student will be able to determine the convergence or divergence of sequences.

Objectives: Students will:

1. Recognize infinite sequences.
2. Use the squeeze theorem for convergent or divergent sequences.
3. Recognize bounded and unbounded sequences.

Outcome 6: Upon completion of this course, the student will be able to determine convergence or divergence of infinite series.

Objectives: Students will:

1. Recognize infinite series.
2. Recognize geometric series and determine convergence or divergence.
3. Utilize the tail test for divergence.
4. Recognize harmonic series.
5. Use the integral test and comparison tests for convergence or divergence of infinite series.
6. Use the p-series to determine convergence or divergence.
7. Use the alternating series test (Leibniz test) to determine convergence or divergence.
8. Use the ratio and root tests to determine the absolute convergence of infinite series.
9. Use the properties of series.

Outcome 7: Upon completion of this course, the student will have a working knowledge of power series.

Objectives: Students will:

1. Recognize if the power series centered at the origin or at another number.
2. Find the radius and the interval of convergence of a power series.
3. Differentiate and integrate power series.

Outcome 8: Upon completion of this course, the student will be able to represent functions by using Taylor and Maclaurin series.

Objectives: Students will:

1. Represent functions like sin x, cos x, ex, ln x, and tan-1 x by using Maclaurin and Taylor series.
2. Find the Taylor polynomial of certain functions of degree < 5.

Outcome 9: Upon completion of this course, the student will be able to solve problems, use algorithms, and comprehension of concepts related to parametric equations and calculus with parametric and polar curves. 

Objectives: Student will:

1. Express the equation of a conic in parametric form.
2. Eliminate the parameter from parametric equations and graph the equation.
3. Find slope and concavity of a curve described parametrically without eliminating the parameter.
4. Find the slope of a polar fuction without converting to rectangular coordinates.
5. Find the area enclosed by and length of a polar curve.

1. Review
   1. Rules for derivatives, constant and the power rule, product and quotient rule, trigonometric functions, logarithmic and exponential base e, composite functions and the chain rule, implicit differentiation
   2. Indefinite integrals, required department formulas, the fundamental theorem of calculus, initial value problems, area between curves
2. Solids of revolution
   1. Disks, washers, and shell methods
   2. Arc length and surface area
3. Methods of integration
   1. Basic integration formulas, integration by parts and partial fractions
   2. Algebraic and trigonometric substitutions
   3. Powers of trigonometric functions
4. Improper integrals
5. Limits and properties of sequences
6. Series
   1. Convergence of series
   2. The nth term test for divergence
   3. The integral test
   4. The direct and comparison tests
   5. The Leibniz alternating series test
   6. The ratio and root tests
   7. Absolute and conditional convergence
7. Power series
   1. Center, radius, and interval of convergence
   2. Taylor and Maclaurin series
   3. Differentiation and integration of power series
   4. The binomial series (optional)
8. Calculus with Parametric Equations and Polar Coordinates

1. Express the equation of a conic in parametric form
2. Eliminate the parameter from parametric equation and graph the equation
3. Find slope and concavity of a curve described parametrically without eliminating the parameter
4. Areas and lengths in polar coordinates

MATH 2000 - Introduction to Linear Algebra

Credit Hours: 3.00

Objectives: Students will:

1. Solve linear systems by elimination.
2. Describe solutions of systems geometrically and algebraically.
3. Define and reduce matrices to reduced row echelon form.
4. Use the Gaussian elimination to solve linear systems by forming an augmented matrix.
5. Use the Gauss-Jordan elimination to solve homogeneous and non homogeneous systems.

Outcome 2: Upon completion of this course the student will solve problems, use algorithms and demonstrate comprehension of concepts from: Matrices and their operations.

Objectives: Students will:

1. Perform the matrix operation.
2. Work with the properties of matrices.
3. Calculate the inverse of a matrix by using a formula or by reducing a n x 2n matrix.
4. Determine the operations on elementary matrices.
5. Solve linear system Ax = b by using A^-1 .

Outcome 3: Upon completion of this course the student will solve problems, use algorithms and demonstrate comprehension of concepts from: Determinants and their properties.

Objectives: Students will:

1. Evaluate the determinant of a matrix.
2. Use determinant to determine whether or not the inverse of a matrix exists.
3. Use elementary operation to evaluate determinants.
4. Work with the properties of determinants.
5. Use Cramer’s rule and determine to solve systems of linear equations of the form Ax = b, |A| not equal to 0.

Outcome 4: Upon completion of this course the student will solve problems, use algorithms and demonstrate comprehension of concepts from: Vector space.

Objectives: Students will:

1. Test sets for a vector space.
2. Establish a list of vector properties
3. Test a subset for a subspace of a vector space.
4. Test a solution vector of a homogeneous system to be a subspace of Rⁿ
5. Define a linear combination of vectors v₁, v₂,…v_n.
6. Test for spaces that are spanned by vectors.
7. Test for linearly independent and linearly dependent sets.
8. Determine whether a set is a basis for Rⁿ
9. Test for bases of a vector space.
10. Determine the dimension of a vector space and a solution space.
11. Find bases for a row space, column space and null space.

Outcome 5: Upon completion of this course the student will solve problems, use algorithms and demonstrate comprehension of concepts from: Inner product spaces.

Objectives: Students will:

1. Define Euclidean inner product R², on R³ and Rⁿ
2. Define the length and distance in the inner product space.
3. Define the norm in Rⁿ
4. Calculate an angle in the inner product space.
5. Establish the orthogonality in the inner product space.
6. Use the Gram-Schmidt process to find orthonormal bases for the inner product space.
7. Test for linear independent of orthogonal set in the inner space.
8. Find the coordinates of a vector v relative to orthonormal bases, and express v in terms of orthonormal bases.
9. Define orthogonal matrices.

Outcome 6: Upon completion of this course the student will solve problems, use algorithms and demonstrate comprehension of concepts from: Eigenvalues and eigen vectors of a matrix.

Objectives: Students will:

1. Find the eigenvalues and eigenvectors of a matrix.
2. Find the eigenvalues and eigenvectors of a powers of a matrix.
3. Test for diagonalizable matrices.
4. Define similar matrices.
5. Discuss the properties of a similar matrix.
6. Compute powers of a matrix.
7. Discuss orthogonal diagonalization of a symmetric matrix.
8. Use the eigenvalues and eigenvectors to express a general conic in standard form; find the angle of rotation and sketch.

Outcome 7: Upon completion of this course the student will solve problems, use algorithms and demonstrate comprehension of concepts from: Linear Transformations.

Objectives: Students will:

1. Define Linear Transformation T: V –> W
2. Discuss zero and identity transformations
3. Determine whether or not a transformation is linear
4. Find the standard matrix of a linear transformation
5. Find the Kernel and range of a linear transformation
6. Determine the rank and nullity of a linear transformation
7. Find the change of bases
8. Find nonstandard matrices of a linear transformation
9. Find matrices of sum, product, composition, and inverse of a linear transformation

1. Systems of Linear Equations
   1. Introduction to Systems of Linear Equations
      1. Gaussian Elimination and Gauss-Jordan Elimination
      2. Solving Systems of Homogeneous Linear Equations
      3. Solve Applications
   2. Matrices
      1. Operations with Matrices
      2. Properties of Matrix Operations
      3. The Inverse of a Matrix
      4. Elementary Matrices
      5. Solve Systems by Using Inverse Matrices
   3. Determinants
      1. The Determinant of a Matrix
      2. Evaluation of a Determinant Using Elementary Operations
      3. Properties of Determinants
      4. Solve Systems by Using Cramer’s Rule
      5. Use Determinants to find the Inverse of a Matrix
2. Vector space
   1. Vectors in Plane End Space
      1. Subspaces of Vector Spaces
      2. Spanning Sets and Linear Independence
      3. Basis and Dimension
      4. Rank of a Matrix and Systems of Linear Equations
      5. Coordinates and Change of Basis
      6. Applications of Vector Spaces
   2. Inner Product Spaces
      1. Length and Dot Product in Rn
      2. Inner Product Spaces
      3. Orthonormal Bases: Gram-Schmidt Process
      4. Applications of Inner Product Spaces
3. Eigenvalues and Eigenvectors
   1. Eigenvalues and Eigenvectors
   2. Diagonalization
   3. Symmetric Matrices and Orthogonal Diagonalization
   4. Use Eigenvalues and Eigenvectors to Rotate Axis and Sketch General Conic Sections
4. Linear Transformations
   1. Introduction to Linear Transformations
   2. The Kernel and Range of a Linear Transformation
   3. Standard and Non-Standard matrices for Linear Transformations
   4. Transition Matrices
   5. Applications of Linear Transformations

MATH 2200 - Discrete Mathematics

Credit Hours: 4.00

Objectives:

1. Translate English statements into logical expressions using propositions and connectives.
2. Translate English statements into symbolic expressions involving predicates and quantifiers.
3. Translate a symbolic logical expression into English.
4. Construct truth tables for compound proposition.
5. Demonstrate two expressions are logically equivalent using truth tables.
6. Show that two expressions are logically equivalent using laws of logic.
7. Determine the truth-value of an expression involving quantifiers.
8. Construct truth tables for Boolean functions.
9. Construct a logic circuit corresponding to a Boolean function.
10. Determine the output from a logic circuit.

Outcome 2: Upon completion of this course, the student will perform basic set operations.

Objectives:

1. Use set builder notation.
2. Work with subsets.
3. Find combinations of sets involving unions, intersections, compliments and Cartesian products.
4. Show that two sets are equal by: showing that they are subsets of each other, using laws of set operations, using membership tables, and using Venn diagrams.
5. Determine the cardinality of a set using the principle in inclusion-exclusion.
6. Determine if a relation is a function.
7. Determine whether a function is a bijection.

Outcome 3: Upon completion of this course, the student will draw and explain the significance of graphs and trees.

Objectives:

1. Recognize the difference between a simple graph, a multigraph, and a psuedograph.
2. Construct an adjacency matrix for graph.
3. Construct a graph from its adjacency matrix.
4. Use the adjacency matrix to determine the number of paths of a fixed length from one vertex to another.
5. Determine the degrees of the vertices of a graph.
6. Determine if a graph is bipartite.
7. Determine if a graph has an Euler cycle.
8. Construct an incidence matrix for a graph.
9. Determine if two graphs are isomorphic and verify the result.
10. Use a digraph to represent a relation.
11. Determine if the relation is an equivalence relation.
12. Determine if a graph is a tree.
13. Determine if a tree is balanced.
14. Work with the relationship between the number of vertices, internal vertices, and leaves for a full m-ary tree.

Outcome 4: Upon completion of this course, the student will calculate permutations and combinations.

Objectives:

1. Determine the cardinality of a set using the multiplication principle.
2. Count the number of possible outcomes using the sum rule.
3. Work with the pigeonhole principle.
4. Count the number of possible outcomes using permutations.
5. Count the number of possible outcomes using combinations.
6. Use the binomial theorem to expand a binomial.
7. Use the above counting techniques to determine the probability of an event.

Outcome 5: Upon completion of this course, the student will identify and analyze recurrence relations.

Objectives:

1. Provide a simple formula for geometric and arithmetic sequences.
2. Compute the first 5 terms of sequence defined recursively.
3. Prove a result using mathematical induction.
4. Find the solution of a simple recurrence formula using an iterative approach.
5. Solve a linear homogeneous recurrence relation with constant coefficients using the characteristic polynomial.
6. Construct a simple algorithm using psuedocode.
7. Measure the complexity of a program in psuedocode using big-o and big-theta measurements.
8. Work with the division algorithm and modular arithmetic.
9. Convert numbers from one base to another with emphasis on binary, octal, and hexadecimal number systems.
10. Use the Euclidean algorithm.

1. Logic
   1. Propositional calculus
      1. Language of propositions
      2. Symbolic representation
      3. Truth tables
      4. Laws of logic
      5. Logical equivalence
   2. Predicate calculus
   3. Symbolic representation
   4. Quantifiers
   5. Language of quantifiers
   6. Symbolic representation
   7. The truth-value of a logical expression using predicates and quantifiers
   8. Nested quantifiers
2. Boolean Algebra
   1. Boolean arithmetic
   2. Boolean functions
   3. Logic Circuits
3. Sets
   1. Set operations: unions, intersections, complements, and Cartesian products
   2. Relations and functions
      1. Images
      2. Properties of functions: injection, surjection, and bijection
      3. Inverse functions
4. Algorithms
   1. Search algorithms
      1. Linear
      2. Binary
   2. Sorting algorithms
      1. Bubble sort
      2. Insert sort
   3. Big-O, Big-Omega, Big-Theta
   4. Complexity of algorithms
5. Integers
   1. Prime numbers and composite numbers
   2. Division algorithm
   3. Modular arithmetic
   4. Other bases
   5. Euclidian algorithm
   6. Sequences
   7. Summation
      1. Finite geometric series
   8. Mathematical induction
6. Counting
   1. Product rule
   2. Sum rule
   3. The Pigeonhole Principle
   4. Permutations
   5. Combinations
      1. Binomial coefficients
      2. Binomial theorem
   6. Finite probability
   7. Modeling with recurrence relations
   8. Solving homogeneous recurrence relations with constant coefficients
7. Graph theory
   1. Types of graphs
   2. Graph terminology
      1. Paths and cycles
      2. Degree of a vertex
   3. Euler Cycles
   4. Matrix representations of graphs
   5. Isomorphic of graphs
   6. Trees
      1. Tree terminology
      2. Properties of trees

MATH 2760 - Analytic Geometry & Calculus 3

Credit Hours: 4.00

Objectives: Students will:

1. Add and subtract vectors and be able to geometrically represent these operations.
2. Find a scalar multiple of a vector and be able to represent it graphically.
3. Calculate a dot product of two vectors.
4. Calculate the work done by a force as it moves an object.
5. Find the angle between two vectors.
6. Find the scalar projection and vector projection of one vector onto another.
7. Use projections to find the distances between: a point and a line, a point and a plane, two lines.
8. Calculate a cross product of vectors and demonstrate knowledge of its geometric interpretation.
9. Find the equation of a line in R2 and R3 in vector nonparametric form.
10. Find the symmetric equations of line in R3.
11. Find the equation of a plane in vector nonparametric form.
12. Be able to rewrite a vector equation in Cartesian nonparametric form.
13. Calculate a box product and demonstrate knowledge of its geometric interpretation.

Outcome 2: Upon completion of this course, the student will be able to perform calculus on vector valued functions and obtain measurements in geometry and kinematics.

Objectives: Students will:

1. Express the equation of a line in vector parametric form and scalar parametric form.
2. Differentiate a vector-valued function.
3. Find the velocity, speed and acceleration vectors of a particle in space given its position function.
4. Find the length of an arc described parametrically or as a vector-valued function.

Outcome 3: Upon completion of this course, the student will be able to recognize quadric surfaces and their equations, graph quadric surfaces, and obtain traces of quadric surfaces.

Objectives: Students will:

1. Recognize the equation of the following quadric surfaces: ellipsoids, hyperboloids of one sheet, hyperboloids of two sheets, elliptic cones, elliptic paraboloids, and hyperbolic paraboloids.
2. Graph the following quadric surfaces: ellipsoids, hyperboloids of one sheet, hyperboloids of two sheets, elliptic cones, elliptic paraboloids, and hyperbolic paraboloids.
3. Find the traces of a quadric surface.
4. Find the cross section of a quadric surface with a plane perpendicular to one of the coordinate axes.

Outcome 4: Upon completion of this course, the student will be able to find the domain and range, calculate limits, and perform differential calculus on functions of two or three variables, as well as to use differential calculus to analyze the shape of a graph and to solve optimization problems.

Objectives: Students will:

1. Graph a function of 2 variables and identify its domain and range.
2. Find the limit of a function of several variables.
3. Find the partial derivatives of a function of several variables and interpret the derivative geometrically.
4. Find the total differential of a function of several variables and use it in an application
5. Use the chain rule for function of several variables to find a partial derivative of a function.
6. Find the directional derivative of a function of two or three variables in any direction.
7. Find the gradient of a function in two or three variables.
8. Find the maximum value of the directional derivative and a unit vector in the direction of the maximum directional derivative at a given point for a function of two or three variables.
9. Find the equation of a line normal to and the line tangent to a level curve at a given point.
10. Find the equation of a line normal to and the plane tangent to a level surface at a given point.
11. Find critical points of a function in two or three variables.
12. Classify relative extrema of functions of two variables using the second derivative test.
13. Use second derivative test to find the optimum solution of an applied problem.
14. Use the method of Lagrange multipliers to solve constrained optimization problems.
15. Use the method of Lagrange multipliers to solve applied constrained optimization problems.

Outcome 5: Upon completion of this course, the student will be able to evaluate double and triple integrals in rectangular, polar, cylindrical, and spherical coordinates, and to apply these tools to calculate areas and volumes.

Objectives: Students will:

1. Evaluate an iterated integral.
2. Reverse the order of integration of an iterated integral.
3. Convert a double integral to an iterated integral.
4. Use a double integral to find the area of a region in the plane.
5. Use a double integral to find the volume of a solid.
6. Use polar coordinates to evaluate a double integral.
7. Use a threefold iterated integral to evaluate a triple integral
8. Use a triple integral to find the volume of a solid.
9. Use cylindrical coordinates to evaluate a triple integral.
10. Use spherical coordinates to evaluate a triple integral.
11. Use a double integral to calculate the area of a surface.

Outcome 6: Upon completion of this course, the student will be able to perform calculus on vector fields, with topics including divergence, curl, line integrals, and surface integrals, as well as to manipulate integrals using the fundamental theorem, Green’s theorem, the divergence theorem, and Stokes’ theorem.

Objectives: Students will:

1. Evaluate a line integral over a curve described in scalar parametric form.
2. Use the dot product to evaluate a line integral on a curve given in scalar Cartesian.
3. Use line integral to calculate the work done by a force moving a particle along a curve.
4. Use Green’s theorem to evaluate an appropriate line integral.
5. Evaluate a line integral using the fundamental theorem.
6. Calculate the divergence and the curl of a vector field.
7. Find the area of a parametric surface.
8. Evaluate a surface integral.
9. Use Stokes’ theorem.
10. Use the divergence theorem.

1. Vectors
   1. Vector operations
      1. Addition/subtraction
      2. Scalar multiplication
      3. Dot Product
      4. Cross product
      5. Box product
   2. Analytic Geometry
      1. The angle between two vectors
      2. The projection of one vector onto another
      3. Equations of a line in both parametric and nonparametric forms
      4. Equations of a plane in both parametric and nonparametric forms
      5. Using the projection to find the distance between two objects in the plane or in space.
   3. Vector valued functions and parametric equations
      1. Graphs of parametric equations and vector valued functions
      2. Limits of vector valued functions
      3. Continuity of vector valued functions
      4. Differentiation of vector valued functions
      5. Velocity, speed and acceleration of a particle in space
      6. The length of an arc described parametrically or by a vector valued function
2. Surfaces in space
   1. Intercepts, traces, and cross sections
   2. Cylinders
   3. Quadric surfaces
   4. Graphs of functions of 2 variables
3. Functions of several variables
   1. Domains of functions of more than one variable
   2. Limits of functions of more than one variable
   3. Continuity of functions of 2 or 3 variables
   4. Partial derivatives
   5. Total Differential
   6. Chain rule for functions of several variables
   7. Directional derivatives and gradients
      1. Tangent Planes and normal lines
   8. Extrema for functions of 2 variables
   9. Lagrange multipliers
4. Multiple integration
   1. Iterated integrals
   2. Double integrals
      2. Areas and volumes
   3. Using polar coordinates to evaluate a double integral
   4. Triple integrals
      3. Volumes
   5. E Using spherical and cylindrical coordinates to evaluate a triple integral
   6. Surface area
5. Vector calculus
   1. Line integrals of conservative and non-conservative vector fields over closed and non-closed curves
   2. The fundamental theorem of line integrals
   3. Green’s Theorem
   4. Divergence and Curl
   5. Parametric surfaces and their areas
   6. Surface integrals
   7. Stokes’ theorem
   8. Divergence theorem

MATH 2770 - Differential Equations

Credit Hours: 4.00

Objectives:

1. Identify separable ODEs and employ appropriate techniques to solve separable ODEs.
2. Identify exact ODEs and employ appropriate techniques to solve exact ODEs.
3. Identify first-order linear ODEs and employ appropriate techniques to solve first-order linear ODEs.
4. Identify Bernoulli ODEs and employ appropriate techniques to solve Bernoulli ODEs.
5. Identify separable ODEs and employ appropriate techniques to solve separable ODEs.
6. Use the improved Euler formula to calculate numerical solutions over intervals to any of the above types of ODEs with initial conditions.

Outcome 2: Upon completion of this course, students will be able to apply differential equations to solve mathematical problems.

Objectives:

1. Solve continuous growth and decay models.
2. Solve cooling and warming models.
3. Solve mixture models.
4. Solve series circuit models.
5. Solve orthogonal trajectory models.

Outcome 3: Upon completion of this course, students will be able to solve homogeneous and non-homogeneous higher order linear equations using the methods of undetermined coefficients and variation of parameters.

Objectives

1. Solve homogeneous higher order ODEs using the superposition principle.
2. Solve homogeneous higher order ODEs using the operator notation and by the annihilator approach.
3. Solve non-homogeneous higher order ODEs using the method of undetermined coefficients.
4. Solve non-homogeneous higher order ODEs using the method of variation of parameters.

Outcome 4: Upon completion of this course, students will be able to solve initial value problems using the Laplace transform.

Objectives

1. Demonstrate knowledge of the values of the Laplace transform function.
2. Demonstrate knowledge of the values of the inverse Laplace transform function.
3. Demonstrate knowledge of the technique utilizing these functions to solve initial value problems.

Outcome 5: Upon completion of this course, students will be able to solve homogeneous and non-homogeneous systems by the Laplace transform, by using operators, and by using eigenvalues and eigenvectors.

Objectives

1. Demonstrate knowledge of the technique utilizing the Laplace and inverse Laplace transforms to solve systems of ODEs with initial conditions.
2. Demonstrate knowledge of the technique utilizing operator notation to solve systems of ODEs.
3. Demonstrate knowledge of the technique utilizing matrix notation to solve systems of ODEs.

Outcome 6: Upon completion of this course, students will be able to solve differential equations by power series and by Frobeneous’s method.

Objectives:

1. Find power series solutions about an ordinary point.
2. Use Frobenius’ method to find series solutions about a regular singular point.

1. First Order Ordinary Differential Equations
   1. Separable ODEs
   2. Exact ODEs
   3. Homogeneous-of-Order-n ODEs
   4. Linear ODEs
   5. Bernoulli ODEs
   6. Applications of First Order ODEs
2. Higher-Ordered ODEs
   1. Reduction of Order
   2. Homogeneous Linear ODEs with Constant Coefficients
   3. Undetermined Coefficients
   4. Variation of Parameters
   5. Cauchy-Euler Equations
   6. Series Solutions at Ordinary Points
   7. Series Solutions at Singular Points
3. Initial Value Problems
   1. Direct solution of IVPs
   2. Laplace Transform and the Solution of an IVP of a Single ODE
   3. Laplace Transform and the Solution of an IVP of a System of ODEs
4. Matrix Methods
   1. Homogeneous Linear Systems with Constant Coefficients
   2. Variation of Parameters for Systems of ODEs
5. Numerical Methods
   1. Eulers Methods
   2. Runge-Kutta 4th Order Method

CORE 1060 - Industrial Computer Technology

Credit Hours: 4.00

Objectives:

1. Communicate effectively using computer terminology.
2. Work in the Desktop environment.
3. Craft documents using the capabilities found in the word-processing software with integration from and linked to other software applications.
4. Demonstrate a level of proficiency in spreadsheet applications including charts and graphs.
5. Demonstrate a level of proficiency using graphic software.
6. Present a professional multimedia presentation.

1. Computer Technology
   1. Introduction
   2. Types
   3. Terminology
   4. Characteristics
   5. Function
   6. Importing Data
2. Word
   1. Document formation
   2. Page layout
   3. Macro usage
3. Spreadsheets
   1. Expressions/Formulas
   2. Charting
   3. Analysis
   4. Multiple Input Data Devices
4. Graphics
   1. Canvas
   2. Illustrations
   3. Layout
5. Presentation Application
   1. Integration
   2. Creating/Outlining
   3. Visuals
   4. Producing Media
   5. Recording Audio

MACA 1010 - Introduction to Photography

Credit Hours: 4.00

Objectives:

1. Operate camera controls for correct exposure.
2. Explain how to change aperture settings.
3. Explain how to change shutter speed settings.
4. Demonstrate use of auxiliary light.

Outcome 2: Upon completion of this course, students will develop composition skills through pre-visualization.

Objectives:

1. Demonstrate use of camera angles.
2. Explain use of lens perspective.
3. Demonstrate use of depth of field in compositions.
4. Demonstrate use of directional lighting.

Outcome 3: Upon completion of this course, students will demonstrate light-metering techniques, the reciprocal relationship of the lens aperture and shutter speed setting.

Objectives:

1. Demonstrate proper use of in camera meters.
2. Explain use of incident and reflective meters.
3. Demonstrate depth of field control using aperture settings.
4. Demonstrate controlling motion using shutter speed settings.

Outcome 4: Upon completion of this course, students will develop skills using a digital darkroom for image processing and printing.

Objectives:

1. Operate film and flat bed scanners for image input.
2. Demonstrate use of software applications to enhance images.
3. Demonstrate different storage options, including removable devices.
4. Output images to printers, screen and archive files.

1. Introduction, course goals and objectives, grading and attendance policy, assignment of equipment, procedures on equipment use and care; material and supply list
2. Lecture: Composing an image

Week 2.

1. Lecture: Camera operation, exposure control, and ISO settings
2. Lab: Shooting Assignment #0
3. Lecture: The digital darkroom; Tools and file storage
4. Lab: Downloading image files, resizing and storage

Week 3.

1. Lecture: Assignment #1 - Motion Study
2. Shutter speed settings control how motion is captured
3. Lab: Shooting Assignment #1
4. Lecture: Software

Week 4.

1. Lab: Assignment #1 digital processing
2. Critique and grading of Assignment #1

Week 5.

1. Lecture: Assignment #2 - Depth of Field
2. Assignment #2 continues

Week 6.

1. Assignment #2 - digital processing
2. Critique and grading of Assignment #2

Week 7.

1. Lecture: White Balance; Assignment #3
2. Assignment #3 - digital processing
3. Critique and grading of assignments

Week 8.

1. Lecture: Assignment #4 - Backlighting
2. Assignment #4 - digital processing

Week 9.

1. Lecture: Assignment #5 - Brightness Range
2. Assignment #5 - digital processing
3. Critique and grading of assignments

Week 10.

1. Lecture: Assignment #6 - Advertising
2. Assignment #6 - digital processing
3. Critique and grading of assignments

Week 11.

1. Lecture: Assignment #7 - Photojournalism
2. Assignment #7 - digital processing
3. Critique and grading of assignments

Week 12.

1. Lecture: Assignment #8 - Studio Portait
2. Assignment #8 - digital processing
3. Critique and grading of assignments

Week 13.

1. Lecture: Assignment #9 - Model Composite and Mini-portfolio
2. Lab: Assignment #9 - digital processing
3. Critique and grading of assignments

Week 14.

1. Open lab/open studio

Week 15.

1. Lecture: Assignment #10 - Landscape and Night Cityscape
2. Assignment #10 - digital processing
3. Final Exam Review

Week 16.

1. Review for exam
2. Final exam
3. Final grades and equipment maintenance

MACA 1025 - Design 1

Credit Hours: 4.00

Objectives:

1. Create lines.
2. Create shapes.
3. Create form.
4. Create space.
5. Create depth.
6. Create texture.
7. Create color.

Outcome 2: Upon completion of this course, students will be able to construct designs using the principles of design.

Objectives:

1. Create balance.
2. Create contrast.
3. Create movement.
4. Create patterns.
5. Create rhythm.
6. Create unity.

Outcome 3: Upon completion of this course, students will be able to create using different materials, tools, and equipment.

Objectives:

1. Use pencils, erasers, markers, tape, inks, adhesives, and other materials.
2. Use X-acto knife, t-square, ruler, proportion wheel, templates, and other tools.
3. Use light table, enlarger, projector, mat cutter, and other equipment.

Outcome 4: Upon completion of this course, students will be able to demonstrate professional work habits.

Objectives:

1. Follow written and verbal instructions.
2. Meet deadlines and participate in presentations.
3. Demonstrate craftsmanship and prepare artwork for presentation.

1. Explore Curvilinear, Mechanical and Dynamic Line
   1. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern and unity
   2. Use professional materials, tools, equipment
   3. Use professional problem solving techniques
   4. Demonstrate professional work habits
2. Explore Organic, Geometric and Hybrid Shapes
   1. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern and unity
   2. Use professional materials, tools, equipment
   3. Use professional problem solving techniques
   4. Demonstrate professional work habits
3. Explore Positive and Negative Space
   1. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern and unity
   2. Use professional materials, tools, equipment
   3. Use professional problem solving techniques
   4. Demonstrate professional work habits
4. Explore Depth, Dominant And Subdominant Elements
   1. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern, and unity
   2. Use professional materials, tools, equipment
   3. Use professional problem solving techniques
   4. Demonstrate professional work habits
5. Explore Formal, Informal and Organic Texture
   1. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern and unity
   2. Use professional materials, tools, equipment
   3. Use professional problem solving techniques
   4. Demonstrate professional work habits
6. Recognize Basic Typographic Principles
   1. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern and unity
   2. Experiment with line, shape, texture, color, value
   3. Use professional materials, tools, equipment
   4. Use professional problem solving techniques
   5. Demonstrate professional work habits
7. Explore Color
   1. Experiment with greyscale, monochromatic, analogous and complementary color schemes
   2. Experiment with hues, tints, shades, and tones
   3. Experiment with positive / negative space, balance, contrast, emphasis, movement, rhythm, pattern, and unity
   4. Use professional materials, tools, equipment
   5. Use professional problem solving techniques
   6. Demonstrate professional work habits

MACA 1040 - Illustration Fundamentals

Credit Hours: 4.00

Objectives:

1. Draw circles freehand.
2. Scale a room in one point perspective.
3. Design a comprehensive rough.
4. Scale and grid photo reference.

Outcome 2: Upon completion of this course, the student will be able to stress line, mass, texture, value, color, and composition in relation to drawing.

Objectives:

1. Develop thumbnail sketches.
2. Render a cube and sphere in monochromatic color scheme.
3. Render textures through transfer method.

Outcome 3: Upon completion of this course, the student will be able to demonstrate the basic principles of 1, 2, and 3 point perspective related to freehand drawing.

Objectives:

1. Draw a cube in 1 point perspective.
2. Draw a cube in 2 point perspective.
3. Draw an ellipse in one point perspective.
4. Draw an ellipse in two point perspective.
5. Scale a room in one point perspective.

Outcome 4: Upon completion of this course, the student will be able to identify light, shadow, texture, and color as it relates to form.

Objectives:

1. Design a comprehensive rough.
2. Use visual indication techniques.
3. Render 3-dimensional shapes.

1. Introduction
   1. Classroom etiquette
   2. Attendance policy
   3. Departmental codes
   4. Materials
2. One Point Perspective
   1. Cubes
   2. Circles
   3. Cylinders
   4. Grids
   5. Room
   6. City
3. Two Point Perspective
   1. Cubes
   2. Grids
   3. Room
   4. City
4. Light and Form
   1. Form and Cast Shadow
   2. Core and Reflective Light
   3. Value Grid
   4. Basic Shapes
   5. Portraits
   6. Animals
   7. Montage
   8. Advertisement
5. Final Project
   1. TBD individually with student as it relates to illustration fundamentals

MACA 1055 - Digital Layout: Adobe

Credit Hours: 4.00

Objectives:

1. Practice using networks and servers.
2. Examine the basic operating system and items in the system folder.
3. Output to various imaging devices.
4. Practice using different storage options.

Outcome 2: Upon completion of this course, students will be able to practice methods to solve problems, approach them systematically, and explore solutions.

Objectives:

1. Navigate through a digital document.
2. Change application defaults that affect documents created in a computer application.
3. Demonstrate how a page layout program can be used to combine text and graphics.

Outcome 3: Upon completion of this course, students will be able to create digital page layouts.

Objectives:

1. Use the tools needed to create and modify text in a digital document.
2. Place and modify graphic images in a digital document.
3. Classify typefaces.

Outcome 4: Upon completion of this course, students will be able to recognize and demonstrate professional work habits.

Objectives:

1. Follow written and verbal instructions.
2. Adhere to deadlines and participate in presentations.
3. Spell-check, proofread, preflight, package for output for a commercial printer, and prepare projects properly for presentation.

1. Create and format a digital document using Adobe InDesign
   1. Format text, place graphics, create color swatches, preflight, package for output
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits
2. Create and format a digital document using Adobe InDesign
   1. Typographic principles, strokes/fill, tabs
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits
3. Create and format a document using Adobe InDesign
   1. Alignment, bleed, paragraph/character style sheets
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits
4. Create and format a document using Adobe InDesign
   1. Text wrap, link text frames, scaling graphics
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits
5. Create and format a document using Adobe InDesign
   1. Mid-term project utilizing all skills learned
6. Create and format a document using Adobe InDesign
   1. Layers, format text, gradients, color space, master pages
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits
7. Create and format a document using Adobe InDesign
   1. Research, brainstorming, composition using a grid system, multiple page document
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits
8. Create and format a document using Adobe InDesign
   1. Final project utilizing all skills learned
   2. Use professional problem solving techniques
   3. Demonstrate professional work habits

MACA 1065 - Black & White Photography

Credit Hours: 4.00

Objectives: The student will:

1. Demonstrate use of a light meter to determine exposure.
2. Explain film ISOs and their light sensitivities.
3. Demonstrate the relationship of the aperture and shutter speed settings.
4. Explain the use of depth of field.

Outcome 2: Upon completion of this course, students will be able to process black and white film.

Objectives: The student will:

1. Explain and demonstrate the chemical process of a negative film.
2. Demonstrate the making of a contact sheet from negatives.
3. Explain the grain of film and it relationship to ISO speed.
4. Demonstrate proper handling and storage of negatives.

Outcome 3: Upon completion of this course, students will be able to print and display prints by mounting and matting.

Objectives: The student will:

1. Demonstrate making an enlargement from negatives.
2. Explain dodging and burning a print.
3. Demonstrate contrast control using filters.
4. Explain and demonstrate methods of displaying prints.

1. Introduction, course goals and objectives, grading and attendance policy, assignment of equipment, procedures on equipment use and care; Material and supply list
2. Assignment: Read Chapters 1 and 2

2nd Class Meeting

1. Lecture and Demonstration: Camera operation, exposure control, and film speeds
2. Assignment: Read Chapters 3, 4, and 5

Week 2. 3rd Class Meeting

1. Lecture and Demonstration.
2. Assignment # 0 What will you Photograph? (review pages 9-12 Chapter 1)
3. Assignment: Read Chapter 6
4. Developing the Negative

4th Class Meeting

1. Lecture and Demonstration
2. Lab: Developing Film from Assignment #0
3. Assignment: Read Chapter 7

Week 3. 5th Class Meeting

1. Lecture and Demonstration
2. Printing the Positive; Contact Sheet; Test Strip, Enlargements
3. Assignment: Review Pages 20-23 of Chapter 2 The Shutter

6th Class Meeting

1. Lecture and Demonstration
2. Assignment #1 Stop Action
3. Lab: Film processing and printing
4. Due: Assignment #0

Week 4. 7th Class Meeting

1. Lab: Printing Assignment #1 continues
2. Assignment: Review Pages 24-29 Chapter 2 The Aperture

8th Class Meeting

1. Lecture and Demonstration
2. Assignment #2 Depth of Field
3. Lab: Film processing and printing; Complete Assignment #1
4. Due: Assignment #1

Week 5. 9th Class Meeting

1. Lab: Film processing and printing

10th Class Meeting

1. Assignment: Read Pages 160-167 Chapter 8 Finishing and Mounting
2. Lab: Film processing and printing

Week 6. 11th Class Meeting

1. Lecture and Demonstration
2. Assignment #3 Backlighting
3. You will need to mount the rest of your assignments
4. Assignment: Review Page 106 Chapter 5 Using Exposure
5. Lab: Film processing and printing
6. Due: Assignment #2

12th Class Meeting

1. Lecture and Demonstration: Finishing and Mounting Demo
2. Lab: Film processing and printing
3. Assignment: Review Pages 94-105 Chapter 5 How to Meter

Week 7. 13th Class Meeting

1. Lecture and Demonstration
2. Assignment #4 Brightness Range
3. Lab: Film processing and printing
4. Due: Assignment #3

14th Class Meeting

1. Lab: Film processing and printing

Week 8. 15th Class Meeting

1. Lecture and Demonstration: Hot Lights Demo
2. Assignment #5 Still Life
3. Lab: Film processing and printing
4. Due: Assignment #4

16th Class Meeting

1. Lecture and Demonstration
2. Assignment: Bring in Five Ads. Tell what you likedislike about each.
3. Lab: Film processing and printing

Week 9. 17th Class Meeting

1. Lecture and Demonstration
2. Assignment #6 Advertising
3. Lab: Process, print, and display
4. Due: Assignment #5

18th Class Meeting

1. Lecture and Demonstration
2. Critique and grading of assignments

Week 10. 19th Class Meeting

1. Lecture and Demonstration
2. Assignment #7 Candid Shots of People
3. Lab: Process, print, and display

20th Class Meeting

1. Lecture and Demonstration
2. Due: Assignment #6
3. Critique and grading of assignments

Week 11. 21st Class Meeting

1. Lecture and Demonstration
2. Assignment # 8 Portraiture Studio Lighting
3. Lab: Process, print, and display

22nd Class Meeting

1. Lecture and Demonstration
2. Due: Assignment #7
3. Critique and grading of assignments

Week 12. 23rd Class Meeting

1. Lecture and Demonstration
2. Assignment #9 Model Portfolio
3. Lab: Process, print, and display

24th Class Meeting

1. Lecture and Demonstration
2. Due: Assignment #8
3. Critique and grading of assignments

Week 13. 25th Class Meeting

1. Lecture and Demonstration
2. Model Portfolio Assignment #9 Continued
3. Lab: Process, print, and display

26th Class Meeting

1. Lecture and Demonstration
2. Critique and grading of assignments

Week 14. 27th Class Meeting

1. Lecture and Demonstration
2. Assignment #10 Landscape
3. Lab: Process, print, and display

28th Class Meeting

1. Lecture and Demonstration
2. Due: Assignment #9

Week 15. 29th Class Meeting

1. Lecture: Landscape Assignment #10

30th Class Meeting

1. Lecture and Demonstration

Week 16. 31st Class Meeting

1. Review for exam
2. Due: Assignment #10
3. Remove all locks and personal property from your locker

32nd Class Meeting

1. Final exam
2. Final grades and equipment maintenance

MACA 1070 - Rendering

Credit Hours: 4.00

Objectives:

1. Illustrate a value grid.
2. Reproduce imagery through light and form.
3. Assess value percentages.
4. Scale and grid photo reference.

Outcome 2: Upon completion of this course, the student will be able to use indication techniques to stress line, mass, texture, value, color, composition in relation to rendering.

Objectives:

1. Create highlights.
2. Create form shadow.
3. Create cast shadow.
4. Create core shadow.
5. Create reflected light.

Outcome 3: Upon completion of this course, the student will be able to render his/her own 3-dimensional products on a 2-dimensional surface.

Objectives:

1. Exchange textures.
2. Utilize basic reference.
3. Design new products.
4. Complete solid industrial renderings.

Outcome 4: Upon completion of this course, the student will be able to apply light, shadow, texture, and color as it relates to form.

Objectives:

1. Design a comprehensive rough.
2. Use visual indication techniques.
3. Render 3-dimensional shapes.

1. Introduction
   1. Classroom etiquette
   2. Attendance policy
   3. Departmental codes
   4. Materials
2. Basic Rendering
   1. Marker blending
   2. Value Grids
   3. Gradations
3. Texture objects
   1. Photo reference
   2. Light and shadow
   3. Organic
   4. Manmade
4. Chrome objects
   1. Logo
   2. Automotive
   3. Science fiction
5. Texture Swap
   1. Render swapped textures
6. Industrial Rendering
   1. Object design
   2. Object illustration
   3. Object indication
   4. Object rendering

MACA 1090 - Figure Illustration 1

Credit Hours: 4.00

Objectives:

1. Assemble a reference file from actual photos and other photo sources.
2. Draw a proportioned/commercial 8 headed male and female figure in the anterior, posterior, and lateral views.
3. Draw the head in a full front, profile, and ¾ views.
4. Demonstrate foreshortening.
5. Apply light and shadow of round and angular human forms.
6. Draw proportioned hand studies.
7. Draw the human head accurately in different views so as to capture a likeness.
8. Draw the figure partially clothed displaying comprehension of gesture, anatomy, proportion, weight and balance, and drapery.

Outcome 2: Upon completion of this course, the student will be able to stress line, mass, texture, value, color, and composition in relation to drawing figures.

Objectives:

1. Draw gestures indicating strong movement.
2. Draw the proportional figure in various media for commercial reproduction.
3. Render the effect of light on the human form.
4. Develop thumbnail sketches.

Outcome 3: Upon completion of this course, the student will be able to use graphite, color pencils, paper and board surfaces.

Objectives:

1. Show light and shadow of round and angular human forms.
2. Identify current illustrators and illustrative trends.

Outcome 4: Upon completion of this course, the student will be able to demonstrate light, shadow, texture, and color as all relate to human figures.

Objectives:

1. Produce samples of figurative work as it relates to industry.
2. Produce samples of human figures interacting with inanimate objects.
3. Produce figurative work with varying technique and style.

1. Introduction
   1. Classroom etiquette
   2. Attendance policy
   3. Departmental codes
   4. Materials
2. Gesture
3. Motion
4. Form and Cast Shadow
5. Core and Reflected Light
6. Skeletal Bones
7. Muscles
8. Emotion
9. Proportion
10. Anatomy
11. Linear
12. Tonal
13. Monochromatic
14. Value Grid
15. Texture
16. Features
17. Likeness
18. Caricature
19. Book Cover
20. Artist Study
21. Sketchbook Exercises
    1. Drawing from life
    2. Anatomy studies
    3. Artist studies

MACA 1155 - Design 2

Credit Hours: 4.00

Objectives:

1. Create images with appropriate size relationships, angles, and negative space.
2. Use methods to indicate type and graphics for advertising layouts.
3. Use the elements and principles of design.

Outcome 2: Upon completion of this course, students will be able to discuss the role, ethics, and responsibility of advertising.

Objectives:

1. Examine different aspects of advertising.
2. Explore the roles within an advertising agency.
3. Understand ethics in regards to advertising.

Outcome 3: Upon completion of this course, students will be able to produce advertising layouts for various mediums.

Objectives:

1. Create brochures.
2. Create booklets.
3. Create flyers.
4. Create direct mail advertisements.
5. Create web advertisements.
6. Create billboards.

Outcome 4: Upon completion of this course, students will be able to utilize the design process.

Objectives:

1. Research topics.
2. Create preliminary sketches.
3. Create layouts.
4. Modify design accordingly.
5. Present work and get feedback.

1. Introduction, grading, and terminology
2. Advertising theory, practices and its role in society
3. Study and identify a variety of type faces
4. Study print and web advertising specifications
5. Analysis of advertising, print, web, billboard, packaging and point of purchase advertising
6. Major assignment - design layouts using type and graphics for print advertising
7. Major assignment - design and create finish art for a billboard
8. Major assignment - design and create finish art for a logo and identity system
9. Major assignment - design and create finish art for a package design
10. Major assignment - design and create finish art for point of purchase advertising

MACA 1160 - Previsualization

Credit Hours: 4.00

Objectives:

1. Develop presentation techniques.
2. Set camera angles.
3. Create background sketch techniques.
4. Apply basic camera movements.
5. Stage dialogue.
6. Work with different aspect ratios.
7. Use terminology and abbreviations in assignments and classroom discussions.
8. Create figure invention.
9. Read a script.
10. Convey framing heights.
11. Use arrows to indicate movement.
12. Illustrate camera techniques.
13. Illustrate editing transitions.
14. Convey perspective with no tangents.

Outcome 2: Upon completion of this course, the student will be able to demonstrate the ability to create sequential images required to tell a story visually.

Objectives:

1. Create images to convey a story.
2. Create temporal connections.
3. Write a script.
4. Produce a final project that is both visual and narrative.

Outcome 3: Upon completion of this course, the student will be able to demonstrate the ability to visually stimulate the theory of light on basic shapes to convey cinematic atmosphere.

Objectives:

1. Recognize and produce various methods of color proofing.
2. Create special effects with scanned images.

Outcome 4: Upon completion of this course, the student will be able to demonstrate skills to apply the principles of value, hue, and intensity to their renderings in full color, indicating full comprehension of light, shadow, color, intensity, and value.

Objectives:

1. Convey composition.
2. Demonstrate contrast in value.
3. Demonstrate contrast in edge control.
4. Indicate tangible atmosphere.
5. Indicate stylistic atmosphere.

Outcome 5: Upon completion of the course, the student will be able to previsualize imagery.

Objectives:

1. Produce thumbnails.
2. Illustrate roughs.
3. Conceptualize ideas.

1. Introduction
   1. Classroom etiquette
   2. Attendance policy
   3. Departmental codes
   4. Materials
2. Drawing from Memory Exercises
3. Sequential Art Storytelling Exercise
4. Figure invention
   1. Human Head
   2. Body
5. Script Reading
6. Framing Heights
7. Use of Arrows
8. Aspect Ratios
9. Script Writing
10. Camera Techniques and Transitions
11. Previsualizing Cinematography
    1. Perspective
    2. Tangents
    3. Composition
    4. Contrast
       1. value
       2. edge control
    5. Atmosphere
       1. tangible
       2. stylistic
12. Temporal Connections
    1. context
    2. syntax
13. Staging Dialogue
14. Final Project
    1. visual and narrative
    2. TBD individually with student as it relates to illustration fundamentals