## MATH 253 : Calculus and Analytic Geometry IV

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MATH 253-WW
Campus
Worldwide
College of Arts & Sciences (WARSC)
MATH
253
Calculus and Analytic Geometry IV
3
Solid analytical geometry; vector functions in three dimensions; elements of infinite series; partial differentiation; directional derivative and gradient; multiple integrals; geometric and Taylor series.

The purpose of this course is to provide students with the ability to apply the tools of calculus to vector-valued functions and to functions of several variables that can arise in complex engineering and scientific problems.

Alignment with departmental program outcomes is indicated in parentheses. Upon completion of the course, students will be able to do the following:

1. Construct equations of lines, planes, and quadric surfaces and sketch their graphs.

2. Compute partial derivatives.

3. Compute directional derivatives, and interpret these quantities graphically.

4. Set up and calculate double integrals using rectangular coordinate system.

5. Set up and calculate double integrals using polar coordinate system.

6. Set up and calculate triple integrals over a variety of three dimensional regions using rectangular coordinate system.

7. Set up and calculate triple integrals over a variety of three dimensional regions using cylindrical and spherical coordinate systems.

8. Compute area, volume, surface area, mass, and center of gravity using double and triple integrals.

9. Test both geometric and non-geometric series for convergence.10. Perform calculations involving geometric series.11. Compute the Taylor series for a given function and obtain related series by substitution, differentiation, and integration.

9. Test both geometric and non-geometric series for convergence.

10. Perform calculations involving geometric series.

11. Compute the Taylor series for a given function and obtain related series by substitution, differentiation, and integration.

Located on the Daytona Beach Campus, the Jack R. Hunt Library is the primary library for all students of the Worldwide Campus. The Chief Academic Officer strongly recommends that every faculty member, where appropriate, require all students in his or her classes to access the Hunt Library or a comparable college-level local library for research. The results of this research can be used for class projects such as research papers, group discussion, or individual presentations. Students should feel comfortable with using the resources of the library.

Web & Chat: http://huntlibrary.erau.edu
Email:  library@erau.edu
Text: (386) 968-8843
Library Phone:  (386) 226-7656 or (800) 678-9428

Written assignments must be formatted in accordance with the current edition of the Publication Manual of the American Psychological Association (APA) unless otherwise instructed in individual assignments.

90 - 100% A
80 - 89% B
70 - 79% C
60 - 69% D
0 - 60% F

90 - 100% A
80 - 89% B
70 - 79% C
0 - 69% F
Amy Riordan, M.S. - 3/31/2015
riordana@erau.edu
Johnelle Korioth, Ph.D. - 3/31/2015
korio43b@erau.edu
Johnelle Korioth, Ph.D. - 3/31/2015
korio43b@erau.edu
Dr. James Schultz – 3/31/2015
schul9fd@erau.edu
Key: 214