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: (443) 885-3869 Department: (443) 885-3964

E-mail: aron.reznik@morgan.edu

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