Calculus 1

Handouts (pdf files)

0. Matlab instructions

1. Limits
2. Infinite Limits, Limits at Infinity, Horizontal and Vertical Asymptotes
3. Continuity. Squeeze Theorem. Applications of Limits
4. The Derivative, the Rate of Change
5. Finding and Using Derivative
6 .Higher Derivatives. Differentiability

Review for Exam 1
Formulas for Exam 1

7. The Product, Quotient, and Chain Rules
8. Derivatives of Exponential, Logarithmic and Trigonometric Functions
9. Linear Approximation. Differentials
10. Implicit Differentiation
11. L'Hopital's Rule
12. Related Rates

Review for Exam 2
Formulas for Exam 2

13. Increasing/Decreasing Test. Extreme Values and the First Derivative Test
14. Concavity and Inflection Points Second Derivative Test
15. Absolute Extrema and Constrained Optimization

Review for Exam 3

16. Antiderivatives and the Indefinite Integral
17. Substitution
18. Integrals of Exponential and Trigonometric Functions. Integrals Producing Logarithmic Functions
19. Definite Integral. Left and Right Sums
20. Fundamental Theorem of Calculus. The Total Change Theorem
21. Areas between Curves

Review for the Final Exam
Formulas for the Final Exam

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