The text is "Multivariable Calculus - Custom Edition (Early Transcendentals)", 7th Edition by James Stewart.
| Chapter | Section | Topics | Comment |
|---|---|---|---|
| Math 324 | |||
| 15 | 1 | Double Integrals over Rectangles | |
| 2 | Iterated Integrals | ||
| 3 | Double Integrals over General Regions | ||
| 4 | Double Integrals in Polar Coordinates | ||
| 5 | Applications of Double Integrals | ||
| 6 | Surface Area | ||
| 7 | Triple Integrals | ||
| 8 | Triple Integrals in Cylindrical Coordinates | ||
| 9 | Triple Integrals in Spherical Coordinates | ||
| 10 | Change of Variables in Multiple Integrals | ||
| 14 | 5 | The Chain Rule | |
| 6 | Directional Derivatives and the Gradient Vector | ||
| 16 | 1 | Vector Fields | |
| 2 | Line Integrals | ||
| 3 | The Fundamental Theorem for Line Integrals | ||
| 4 | Green's Theorem | ||
| 5 | Curl and Divergence | ||
| 6 | Parametric Surfaces and Their Areas | ||
| 7 | Surface Integrals | ||
| 8 | Stokes' Theorem | ||
| 9 | The Divergence Theorem | ||
| 10 | Summary | ||
