MA201, Lia Vas    --     HANDOUTS

All handouts are pdf files.

0. Matlab instructions.

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

For Exam 1:
Review for Exam 1
Review for Exam 1 - Solutions
Formulas for Exam 1

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

Time permitting: Recursive Integration Formulae

For Exam 2:
Review for Exam 2
Review for Exam 2 - Solutions
Formulas for Exam 2

18. Differential Equations. Separable Equations Euler’s Method.
19. Autonomous Differential Equations and Population Dynamic
20. Applications. Modeling with Differential Equations
21. Linear Equations
22. Parametric Curves. Derivatives, Area, Arc Length and Surface Area.

For Exam 3:
Review for Exam 3
Review for Exam 3 - Solutions
Formulas for Exam 3

23. Polar Coordinates Area and Arc Length in Polar Coordinates
24. Series

For Final Exam:
Review for Final Exam
Review for Final Exam - Solutions
Formulas for Final Exam