Derivative and Exponential Functions

Morgan State University

MATH 201.001 CALCULUS FOR NON-SCIENCE MAJOR SPRING 2013

Textbook: Applied Calculus for Managerial, Life, and Social Sciences, by S. T. Tan
Instructor: Dr. Aron Reznik Office: Calloway Hall 221
Telephone: Office: [phone] Department: [phone]
E-mail: [e-mail]
Office Hours: MWRF 1:30 – 3:00 p.m., and by appointment.
Prerequisite: MATH 113 with the grade “C” or better.

MATH 201 is designed to help the student gain an intuitive understanding of differential and integral calculus.

COURSE OUTLINE:
NN TOPIC

1. Pre-calculus Review 1
2. Pre-calculus Review 2
3. The Cartesian Coordinate System
4. Straight Lines
5. Functions and their Graphs
6. The Algebra of Functions
7. Functions and Math Models
8. Limits Test 1
9. The Derivative
10. Basic Rules of Differentiation
11. The Product and Quotient Rules
12. The Chain Rule
13. Marginal Functions in Economics
14. Higher-Order Derivatives
15. Implicit Differentiation and Related Rates
16. Differentials Test 2
17. Applications of the First Derivative
18. Applications of the Second Derivative
19. Curve Sketching
20. Optimization 1
21. Optimization 2 Test 3
22. Exponential Functions
23. Logarithmic Functions
24. Compound Interest
25. Differentiation of Exponential Functions

26. Differential of Logarithmic Functions
27. Exponential Functions as Mathematical Models