Calculus 3

Handouts (pdf files)

0. Matlab notes

1. Three Dimensional Coordinate System. Intro to Surfaces
2. Vectors. The Dot and Cross Products
3. Equations of Lines and Planes
4. Space Curves. Tangent lines. Arc Length
5. Partial Derivatives
6. Tangent Plane, Implicit Functions. Gradient. Linear Approximation
7. The Chain Rule

Review for Exam 1
Formulas for Exam 1

8. Maximum and Minimum Values
9. Lagrange Multipliers
10. Double Integrals over Rectangles
11. Double Integrals over General Regions
12. Double Integrals in Polar Coordinates
13. Applications of Double Integrals

Review for Exam 2
Formulas for Exam 2

14. Parametric Surfaces
15. Triple Integrals
16. Change of Variables. Cylindrical, Spherical Coordinates
17. Line Integrals with Respect to Arc Length
18. Line Integrals with Respect to Coordinates
19. Fundamental Theorem for Line Integrals
20. Green's Theorem. Curl and Divergence

Review for Exam 3
Formulas for Exam 3

21. Sequences
22. Series
23. Convergence Tests
24. Power Series
25. Taylor Series

Review for the Final Exam
Formulas for the Final Exam

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