Course Outline

TOPICS

1. Review of Pre-Calculus Concepts and Limits

2. Definition of the Derivative and Rules for Differentiation

3. Graph Analysis, Rolle's Theorem and Mean value Theorems, Rectilinear Motion revisited with Derivatives

4. Implicit Differentiation, Related Rates, and Optimization problems

5. The Indefinite Integral (Anti-differentiation)

6. The Definite Integral and its Applications

MIDTERM REVIEW

7. Fundamental Theorem of Calculus II

8. Area and Volume

9. Differential Equations

10. Transcendental Functions and A.P. Calculus Review