Apr 19, 2024  
Official Course Syllabi 2020-2021 
    
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Official Course Syllabi 2020-2021 [ARCHIVED CATALOG]

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MATH 1370 - Calculus for Business & Social Sciences

Credit Hours: 4.00

Prerequisites: MATH 1360 or MATH 1415 or MATH 1465 all with grade C or better, or equivalent college course, or an acceptable score on a placement or prerequisite exam

MATH 1370 is the second of two mathematic courses for students majoring in the areas of business, social science, or life science and includes differentiation techniques, optimization, applications of differentiation, the definite integral, finding areas using integration, and applications of integration.

Contact Hours: 4
Billable Contact Hours: 4
OUTCOMES AND OBJECTIVES
Outcome 1: Upon successful completion of this course, students will be able to demonstrate basic knowledge of derivatives of functions.

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.
COMMON DEGREE OUTCOMES
(Bulleted outcomes apply to the course)

  1. The graduate can integrate the knowledge and technological skills necessary to be a successful learner.
  • 2. The graduate can demonstrate how to think competently.
  • 3. The graduate can demonstrate how to employ mathematical knowledge.
  1. The graduate can demonstrate how to communicate competently.
  1. The graduate is sensitive to issues relating to a diverse, global society.
COURSE CONTENT OUTLINE
  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
Primary Faculty
Oaks, Jonathan
Secondary Faculty
Zorkot, Mohamed
Associate Dean
Somyak, Michael
Dean
Pritchett, Marie

Official Course Syllabus - Macomb Community College, 14500 E 12 Mile Road, Warren, MI 48088


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