# Fundamentals of Calculus

## Handouts (pdf files)

1. Limits. Horizontal and Vertical Asymptotes. Continuity. Applications of Limits2. The Derivative. Finding and Using Derivative.Higher Derivatives. Differentiability

Review for Exam 1

Formulas for Exam 1

3. The Product, Quotient, and Chain Rules.

4. Implicit Differentiation. Related Rates. Linear Approximation

Review for Exam 2

Formulas for Exam 2

5. Increasing/Decreasing Test. Concavity and Inflection Points. Extreme Values and the Derivative Tests

6. Absolute Extrema and Constrained Optimization

(optional) Quadratic formula program

Review for Exam 3

Formulas for Exam 3

7. Antiderivatives and the Indefinite Integral. Substitution

8. Definite Integral. Left and Right Sums. Fundamental Theorem of Calculus. Areas between Curves

Review for the Final Exam

Formulas for the Final Exam

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