UW COLLEGES

DEPARTMENT OF MATHEMATICS

COURSE GUIDELINES

Course Title:  Calculus

Course Number:  MAT 211

Number of Credits:  4 or 5

Contact Hours / wk:  Lecture 4 or 5

Associate Degree Designation:  MS

Course Prerequisites: A grade of C or better in MAT 110, or MAT 124 or equivalent, or placement based on placement test score.

Catalog Description:  Primarily for students in business, the social sciences and biological sciences who wish to acquire some knowledge of the techniques and applications of the differential and integral calculus and multivariate calculus.  Students who are preparing to major in mathematics, engineering or physical sciences should enroll in the MAT 221 – MAT 222 sequence.

Course Content:  (list of topics normally covered)

1) Concepts of limit and continuity

2) The derivative as a rate of change

3) Differentiation formulas, including chain rule, and derivatives of algebraic, exponential and logarithmic functions

4) Implicit differentiation and higher order derivatives

5) Applications, particularly optimization problems

6) Curve sketching

7) Marginal and relative rates of change

8) Concepts of definite and indefinite integrals

9) Using the Fundamental Theorem of Calculus to evaluate definite integrals

10) The integration techniques of substitution and integration by parts

11) Area under the curve and primarily business related applications

12) Functions of several variables

13) Partial differentiation and optimization problems

14) Modeling

Optional Topics:  Lagrange Multipliers, Least Squares Method, Improper

                                         Integrals                     

Content-Based Department Proficiencies:

1) To determine the derivative of a given function approximately from its graph, and precisely from a formula; to interpret the result, and interpret the meaning of the derivative in practical applications

2) To use calculus to sketch the graph of functions

3) To use a variety of functions to model practical problems

4) To evaluate definite and indefinite integrals and interpret their meaning in practical applications

5) Optimization problems of one and several variables

Colleges-wide proficiencies assigned to course:

Students should be able to demonstrate the following:

A. Analytical skills Performance Indicators: Students should be able to:

1. Interpret and synthesize information and ideas.

4. Select and apply scientific and other appropriate methodologies.

B. Quantitative skills Performance Indicators: Students should be able to:

1. Solve quantitative and mathematical problems.

2. Interpret graphs, tables, and diagrams.

Representative textbooks used for the course:

· Calculus for Business, Economics, Life Sciences and Social Sciences, Barnett, Ziegler, Breen; Prentice-Hall

· Calculus with Applications, Coughlat and Zitorell; Saunders

· Finite Mathematics and Calculus, Waner and Costenoble; Brooks / Cole

· Brief Calculus and Its Applications, Goldstein, Lay and Schneider; Prentice – Hall

· Applied Calculus; Hughes-Hallet et al; Wiley

Approved April 22, 2006