## MATH 250 : Calculus and Analytic Geometry I

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MATH 250-WW
Campus
Worldwide
College of Arts & Sciences (WARSC)
MATH
250
Calculus and Analytic Geometry I
3
Introduction to graphs and functions; limits and continuity; differentiation of algebraic and elementary trigonometric functions; parametric equations; differentials and their applications; applications of first and second derivatives.

This sequence of courses is designed to provide student with the basic ideas of limits, differentiation and integration and serve as a foundation for further investigation of these topics in MATH 251, MATH 252 and MATH 253 and Differential Equations. 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. Calculate left, right, and two-sided limits, infinite limits and limits at infinity.

2. Examine an algebraic, trigonometric, or multi-line function for points of discontinuity.

3. Distinguish between secant line and tangent line, between average rate of change and instantaneous rate of change.

4. Compute the derivative for simple algebraic functions using the definition.

5. Calculate derivatives of algebraic and trigonometric functions using derived rules for finding derivatives.

6. Describe curves using parametric equations.

7. Solve related rates problems by applying techniques of differentiation and optimization in this analysis.8. Calculate the linear approximation of a function near a given point and write derivatives in differential form.

9. Interpret Rolle’s Theorem and the Mean Value Theorem.

10. Analyze a polynomial, rational, or trigonometric function as to intervals of increase, decrease, concave up and concave down. Find extrema, and inflection points, and sketch the graph.

11. Apply Newton’s method for finding the zeros of a function.

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: 211