Catalog Course Search Details

 Department:    MATH&

 Course #:    151

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2019

 Course Description  

Limits and continuity, differentiation and applications, Mean value theorem, applications of differentiation, related rates, curve sketching, min-max problems, concavity, and anti-derivatives. A graphing calculator is required.

 Prerequisite  

Prerequisite: MATH& 142 with a grade of C or higher or equivalent math placement score.

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. Discuss continuity.
2. Calculate limits
3. Demonstrate an understanding of the derivative as a rate of change.
4. Use basic rules of differentiation.
5. Differentiate polynomial, trigonometric, exponential, and logarithmic functions.
6. Demonstrate an understanding of and use the mean value theorem.
7. Use derivative tests to determine extrema.
8. Use concavity and derivatives in curve sketching.
9. Solve related rate, optimization, and other applied problems involving differentiation.
10. Use implicit differentiation.
11. Use L??Hospitals Rule.
12. Use Newton??s Method.
13. Find the linear approximation of a function.
14. Find anti-derivatives of functions.
15. Apply alternative mathematical techniques, from a historical perspective where appropriate.
16. Understand how mathematics is used in other fields and occupations.
17. Understand the use of mathematics cross-culturally.

General Education Learning Values & Outcomes

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

Course Contents

1. Limits and continuity
2. Derivatives as a rate of change
3. Rules of differentiation: product and quotient rules, chain rule, and general power rule
4. Implicit differentiation
5. Mean Value Theorem
6. Derivative test for extrema
7. Newton??s method
8. Related rates
9. Min-max problems as applications of differentiation