## MATH 252 : Calculus and Analytic Geometry III

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MATH 252-WW
Campus
Worldwide
College of Arts & Sciences (WARSC)
MATH
252
Calculus and Analytic Geometry III
3
Techniques of integration; polar coordinates; applications of the definite integral; indeterminate forms and improper integrals; numerical methods of integration; parametric equations; vectors and calculus of vector valued functions.

The purpose of this course is to provide students with the ability to apply the tools of calculus to polar coordinates, techniques of integration, and vector-valued functions that can arise in complex engineering and scientific problems. This course is required in the following degree programs: Aerospace Engineering, Electrical Engineering, Avionics Technology and Engineering Physics.

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

1. Evaluate integrals using integration by parts, trigonometric substitutions, partial fractions, and miscellaneous substitutions.

2. Evaluate integrals involving powers of trigonometric functions.

3. Approximate integrals using the Trapezoidal Rule and Simpson’s Rule.

4. Recognize various indeterminate forms and evaluate limits using L’Hopital’s Rule.

5. Evaluate integrals involving infinite limits and unbounded functions.

6. Plot graphs and calculate areas using polar coordinates.

7. Sketch curves given in parametric form and calculate their arc length.

8. Solve problems of analytic geometry in 2 and 3 dimensions using algebraic and geometric properties of vectors.9. Graph, differentiate, and integrate vector-valued functions of a real parameter and apply these methods to problems involving velocity and acceleration.

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: 213