MA202, Lia Vas    --     HANDOUTS

All handouts are pdf files.

1. Three Dimensional Coordinate System. Functions of Two Variables. Surfaces.

2. Review of Vectors The Dot and Cross Products

3. Equations of Lines and Planes

4. Vector Functions and Space Curves

5. Partial Derivatives

6. Tangent Plane and Gradient

7. The Chain Rule

8. Maximum and Minimum Values

9. Lagrange Multipliers

For Exam 1:

Review for Exam 1

Review for Exam 1 - Solutions

Formulas for Exam 1

10. Double Integrals over Rectangles

11. Double Integrals over General Regions

12. Double Integrals in Polar Coordinates

13. Applications of Double Integrals

14. Triple Integrals

15. Change of Variables. Cylindrical, Spherical Coordinates

16. Parametric Surfaces

17. Line Integrals with Respect to Arc Length

18. Line Integrals with Respect to Coordinates

For Exam 2:

Review for Exam 2

Review for Exam 2 - Solutions

Formulas for Exam 2

19. Fundamental Theorem for Line Integrals

20. Green’s Theorem. Curl and Divergence

21. Sequences

22. Series

23. Convergence Tests

24. Power Series

25. Taylor Series

For Final Exam:

Review for Final

Review for Final - Solutions

Formulas for Final