Catalog Course Search Details

 Department:    MATH&

 Course #:    151

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2018

 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.

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.

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. 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