Fundamentals of Calculus

Handouts (pdf files)

1. Limits. Horizontal and Vertical Asymptotes. Continuity. Applications of Limits
2. 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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