MATH H53

Honors Multivariable Calculus

Notes taken in Professor Thomas Courtade's Spring 2023 EECS 126 course.

CS 189*  /  CS 188*  /  EE 120  /  EECS 151*  /  EECS 127  /  EECS 126  /  EECS 16B  /  EECS 16A*  /  MATH H53

1. Vector Algebra
2. Dot Products
3. Points, Lines, Planes
4. Surfaces and Curvilinear Coordinates
5. Vector-Valued Functions
6. Arc Length & Curvature
7. Derivatives of Multivariable Functions
8. Partial Derivatives and Tangent Planes
9. Directional derivatives and Gradient
10. Multidimensional Linear Functions
11. Multidimensional Derivatives
12. Critical Points, Implicit Function Theorem
13. Chain Rule (cont.) Critical Points
14. Lagrange Multipliers
15. Double Integrals cont., Center of Mass
16. Change of Variables for Double Integrals
17. Triple Integrals
18. Integrals Cont
19. Line Integrals
20. Fundamental Theorem, Conservative Vector Fields
21. Green's Theorem
22. More Green's Theorem
23. More Green's Theorem and Simple Connectedness
24. Surface Integrals
25. Surface Integrals Cont
26. Surface Integrals, Stokes Theorem
27. Stokes Theorem

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