MATH 1370 - Calculus for Business & Social Sciences

Credit Hours: 4.00

Prerequisites: MATH 1360 or MATH 1415 or MATH 1465 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.

Billable Contact Hours: 4

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

Objectives

Students will use the power, addition, and subtraction rules to differentiate appropriate functions.
Students will use the product and quotient rules to differentiate appropriate functions.
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:

Students will use the basic integration rules to integrate appropriate functions.
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

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

COMMON DEGREE OUTCOMES (CDO)
• Communication: The graduate can communicate effectively for the intended purpose and audience.
• Critical Thinking: The graduate can make informed decisions after analyzing information or evidence related to the issue.
• Global Literacy: The graduate can analyze human behavior or experiences through cultural, social, political, or economic perspectives.
• Information Literacy: The graduate can responsibly use information gathered from a variety of formats in order to complete a task.
• Quantitative Reasoning: The graduate can apply quantitative methods or evidence to solve problems or make judgments.
• Scientific Literacy: The graduate can produce or interpret scientific information presented in a variety of formats.

CDO marked YES apply to this course:
Critical Thinking: YES
Quantitative Reasoning: YES
COURSE CONTENT OUTLINE

Functions
1. Domain and Range of Functions
2. Graphs of Functions
3. Slope of Linear Functions
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
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
McMillen, Lisa
Dean
Pritchett, Marie

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