## MATH 251 : Calculus and Analytic Geometry II

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MATH 251-WW
Campus
Worldwide
College of Arts & Sciences (WARSC)
MATH
251
Calculus and Analytic Geometry II
3
Integration of algebraic and elementary trigonometric functions; application of integrals to the calculation of area, volume and curve length and to selected physical problems; differentiation and integration of transcendental functions and inverse functions.

The purpose of this course is to enable the students to apply the calculus of transcendental functions to engineering and scientific problems.This course is required for students in Aerospace engineering, Electrical Engineering, Civil Engineering, Computer Science, Computer Engineering, Engineering Physics, Aircraft Engineering Technology, Aviation Technology and Avionics Technology programs.

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

1. Evaluate anti-derivatives of algebraic and trigonometric functions.

2. Evaluate definite integrals by applying the First Fundamental Theorem of Calculus.

3. Interpret and apply the second Fundamental Theorem of Calculus and the Mean Value Theorem for Integrals.

4. Calculate volumes of solids of revolution by the disk method, washer method and the method of cylindrical shells.

5. Calculate the length of a plane curve and the area of a surface of revolution.

6. Solve applied problems involving work, force, and liquid pressure.

7. Recognize the domain, range, and algebraic properties of the logarithmic, exponential and hyperbolic functions and sketch their graphs.

8. Compute derivatives and integrals of logarithmic, exponential and hyperbolic functions.9. Identify the domain, range, and apply algebraic properties of the inverse trigonometric and inverse hyperbolic functions and sketch their graphs.

10. Compute derivatives and integrals of the inverse trigonometricand inverse hyperbolic functions.

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: 212