# Calculus 1

## Handouts (pdf files)

0. Matlab instructions1. 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. Related Rates

Review for Exam 2

Formulas for Exam 2

12. Increasing/Decreasing Test. Extreme Values and the First Derivative Test

13. Concavity and Inflection Points Second Derivative Test

14. Absolute Extrema and Constrained Optimization

Review for Exam 3

15. Antiderivatives and the Indefinite Integral

16. Substitution

17. Integrals of Exponential and Trigonometric Functions. Integrals Producing Logarithmic Functions

18. Definite Integral. Left and Right Sums

19. Fundamental Theorem of Calculus. The Total Change Theorem

20. Areas between Curves

Review for the Final Exam

Formulas for the Final Exam

All content copyright Lia Vas. All rights reserved.