Calculus 2

Handouts (pdf files)

0. Matlab notes

1. Review of Differentiation
2. Derivatives of Exponential and Logarithmic Functions
3. Indefinite Integral. Substitution
4. Integrals of Exponential Functions. Integrals Producing Logarithms.
5. Definite Integrals. Left and Right Sum
6. Definite Integrals. Fundamental Theorem of Calculus
7. Areas between Curves
8. Volumes by Washer Method
9. Volumes by Cylindrical Shells
10. Average Value of a Function. Some Physics Applications
11. Trigonometric and Inverse Trigonometric Functions. Derivatives. Integrals

Review for Exam 1
Formulas for Exam 1

12. L'Hopital's Rule
13. Improper Integrals
14. Integration by Parts
15. Partial Fractions
16. Trigonometric Integrals
17. Arc Length. Surface of Revolution
18. Approximate Integration, Trapezoidal and Simpson's Sum
Time permitting: Recursive Integration

Review for Exam 2
Formulas for Exam 2

19. Differential Equations. Separable Equations
20. Autonomous Differential Equations and Population Dynamic
21. Applications. Modeling with Differential Equations
22. Linear Equations
23. Parametric Curves

Review for Exam 3
Formulas for Exam 3

24. Polar Coordinates
25. Taylor Polynomial

Review for the Final Exam
Formulas for the Final Exam

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