Catalog Course Search Details

 Department:    MATH&

 Course #:    148

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2018

 Course Description  

Techniques of calculating integrals and derivatives and their applications in business, economics, biology and human relations. A graphing calculator is required.

 Prerequisite  

Prerequisite: MATH& 141 with a grade of C or higher or equivalent score on math placement test.

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. Understand functions.
2. Graph polynomial and rational functions.
3. Demonstrate the rules of differentiation for polynomials.
4. Use the product and quotient rules for differentiation.
5. Perform implicit differentiation.
6. Use the chain rule and power rule.
7. Understand the derivative as a rate of change.
8. Sketch curves using symmetry and asymptotes.
9. Use first and second derivative tests.
10. Solve max-min problems.
11. Use simple techniques of integration.
12. Integrate and differentiate logarithmic and exponential functions.
13. Use integration and differentiation to solve problems in business, economics, and natural science.
14. Apply alternative mathematical techniques, from a historical perspective where appropriate.
15. Understand how mathematics is used in other fields and occupations.
16. Understand the use of mathematics cross-culturally.

General Education Learning Values & Outcomes

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

1. Information Literacy

Definition: Recognizing when information is needed and have the ability to locate, evaluate, and use effectively the needed information.

Outcomes: Students will be able to . . .
1.1 Determine the extent of information needed.

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.
2.7 Identify and evaluate connections and relationships among disciplines.
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. Functions and limits
2. Differentiation
3. Curve sketching
4. Applications of differentiation
5. Integration
6. Exponential and logarithmic functions
7. Topics of integration
8. Multivariable calculus