Catalog Course Search Details

 Department:    MATH&

 Course #:    153

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2019

 Course Description  

This course covers polar coordinates, parametric equations, and vectors in space, vector-valued functions, and infinite series. A graphing calculator is required.

 Prerequisite  

Prerequisite: MATH& 152 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. Use and understand polar coordinates.
2. Find area in polar coordinates.
3. Demonstrate an understanding of and work with parametric equations.
4. Find the derivative and integral of vector-valued functions.
5. Use vector-valued functions to determine velocity and acceleration.
6. Calculate and use the dot product in space.
7. Calculate and use the cross product in space.
8. Use both cylindrical and spherical coordinates.
9. Find the arc length and curvature of vector functions.
10. Solve applied problems.
11. Apply alternative mathematical techniques, from a historical perspective where appropriate.
12. Understand how mathematics is used in other fields and occupations.
13. Understand the use of mathematics cross-culturally.
14. Understand and use sequences and series
15. Use the integral, comparison, ratio, and root tests
16. Understand and use power, Taylor, Maclaurin and Binomial series

General Education Learning Values & Outcomes

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

Course Contents

1. Alternate coordinate systems
2. Vector Geometry in space
3. Vector Functions
4. Parametric equations and polar coordinates
5. Infinite series