Catalog Course Search Details

 Department:    MATH&

 Course #:    152

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2018

 Course Description  

This course covers the study of indefinite integrals, applications of integration, techniques of integration, and an introduction to differential equations. A graphing calculator is required.

 Prerequisite  

Prerequisite: MATH& 151 with a grade of C or higher.

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Natural Sciences, Quantitative  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Compute definite and indefinite integrals.
2. Find areas bounded by two curves.
3. Find volumes of revolution.
4. Calculate moments, centers of mass and centroids.
5. Solve problems involving logarithmic functions: growth and decay.
6. Integrate trigonometric functions.
7. Use various techniques of integration: partial fractions, substitution, integration by parts, etc.
8. Use tables of integration.
9. Use numeric integration.
10. Find arc length.
11. Solve applied problems using integration.
12. Solve separable differential equations.
13. Apply alternative mathematical techniques, from a historical perspective where appropriate.
14. Understand how mathematics is used in other fields and occupations.
15. Understand the use of mathematics cross-culturally.

General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

2. Critical Thinking

Definition: The ability to think critically about the nature of knowledge within a discipline and about the ways in which that knowledge is constructed and validated and to be sensitive to the ways these processes often vary among disciplines.

Outcomes: Students will be able to . . .
2.1 Identify and express concepts, terms, and facts related to a specific discipline.
2.3 Identify, interpret, and evaluate pertinent data and previous experience to reach conclusions.
2.9 Apply and/or create problem-solving strategies to successfully adapt to unpredictable and/or changing environments.

3. Communication

Definition: Understanding and producing effective written, spoken, visual, and non-verbal communication.

Outcomes: Students will be able to . . .
3.6 Recognize, comprehend, and use visual communication appropriate to a given context.

8. Mathematical Reasoning

Definition: Understanding and applying concepts of mathematics and logical reasoning in a variety of contexts, both academic and non-academic.

Outcomes: Students will be able to . . .
8.1 Analyze problems to determine what mathematical principles apply.
8.2 Correctly apply logical reasoning and mathematical principles to solve problems.
8.3 Interpret information and reasoning expressed mathematically (for example in spreadsheets, diagrams, charts, formulas, etc.).
8.4 Communicate mathematical information effectively.

10. Technology

Definition: Understanding the role of technology in society and using technology appropriately and effectively.

Outcomes: Students will be able to . . .
10.3 Use technology appropriate to the context and task to effectively retrieve and manage information, solve problems, and facilitate communication.

Course Contents

1. Applications of integration
2. Integration of Logarithmic and exponential functions
3. Integration of trigonometric functions
4. Techniques of integration
5. Basic differential equations