| Lec. | Topic | Reading (Whitman) | Reading (OpenStax) |
| 1 | Points in space
Coordinate systems |
12.1 12.6 | 2.7 |
| 2 | Vectors in $\mathbb R^3$
Dot product Cross product |
12.2 12.3 12.4 | 2.1 2.2 2.3 2.4 |
| 3 | Lines and planes in Space | 12.5 | 2.5 |
| 4 | Vector valued functions and space curves
Tangent vectors of curves |
13.1 13.2 13.3 | 3.1 3.2 3.3 |
| 5 | Multivariable functions
Quadric surfaces |
14.1 14.2 | 4.1 2.6 |
| 6 | Partial derivatives
Tangent planes |
14.3 14.6 | 4.3 4.4 |
| 7 | Chain rule | 14.4 | 4.5 |
| 8 | Test 1 | ||
| 9 | Directional derivatives
Gradient |
14.5 | 4.6 |
| 10 | Maximum-Minimum problems | 14.7 | 4.7 |
| 11 | Lagrange multipliers | 14. 8 | 4.8 |
| 12 | Volume under the graph of a surface | 15.1 | 5.1 |
| 13 | Double and iterated integrals | 15.1 | 5.2 |
| 14 | Double integrals in polar coordinates | 15.2 | 5.3 |
| 15 | Review | ||
| 16 | Test 2 | ||
| 17 | Triple integrals | 15.5 | 5.4 |
| 18 | Double integrals in spherical and cylindrical coordinates | 15.6 | 5.5 |
| 19 | Change of variables formula | 15.7 | 5.7 |
| 20 | Vector fields
Line integrals |
16.1 16.2 | 6.1 6.2 |
| 21 | Conservative vector fields | 16.3 | 6.3 |
| 22 | Green’s Theorem | 16.4 | 6.4 |
| 23 | Divergence and curl | 16.5 | 6.5 |
| 24 | Test 3 | ||
| 25 | Vector functions on surfaces
Surface integrals Surface area |
16.6 16.7 15.4 | 6.6 |
| 26 | Stokes’ Theorem | 16.8 | 6.7 |
| 27 | Stokes’ Theorem, continued
Gauss’ Theorem |
16.8 16.9 | 6.7 6.8 |
| 28 | Gauss’ Theorem, continued | 16.9 | 6.8 |
| 29 | Review | ||
| 30 | Final |
Skip to content
[OER Site]
