Catalog Course Search Details

 Department:    MATH&

 Course #:    254

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2019

 Course Description  

Topics include functions of several variables, tangent planes, partial differentiation, the chain rule, Lagrange multipliers, double and triple integrals, vector fields, line and surface integrals. Culminates in the theorems of Green and Stokes, along with the Divergence Theorem.

 Prerequisite  

Prerequisite: MATH& 153.

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Elective  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Understand and use the chain rule properly.
2. Understand and use Directional Derivatives and Gradient Vectors.
3. Find Maximum and Minimum values of a multivariable equation.
4. Properly use Lagrange Multipliers in applied problems.
5. Work with double integrals over regions using both Rectangular and Polar coordinates.
6. Finding applications of Double integrals, and find surface area.
7. Work with Triple Integrals using both Cylindrical and Spherical Coordinates.
8. Properly use the change of variables technique in Multiple Integrals.
9. Understand Vector Fields and Line Integrals.
10. Become comfortable with Green's Theorem and Stoke's Theorem and understand how to use them.
11. Find the Curl and Divergence.
12. Understand and use the Divergence Theorem.
13. Work with functions of several variables.
14. Find tangent planes.
15. Work with partial derivatives.

General Education Learning Values & Outcomes

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

Course Contents

1. Partial Derivatives
2. Multiple Integrals
3. Vector Calculus
4. Applications of all of the above.