| Date | Topic | Book | HomeworkHmwk | Practice ProblemsProbs | |
|---|---|---|---|---|---|
| Sept. | 11 | Introduction to the Course | §2.1 | 9, 12, 14, 17, 18, 22 | |
| 12 | Graphing functions of several variables | §2.2 | 6, 10, 20, 27, 37, 39 | ||
| 14 | Limits | §2.3 | 4, 5, 6 | ||
| 18 | Limits and Continuity | §2.3 | 8, 9, 15, 17, 27, 34 | ||
| 19 | Partial Derivatives | §2.4 | 9, 10, 13, 14, 15, 16 | ||
| 21 | Derivatives | §2.4 | H1 | 23, 25, 26, 39, 40 | |
| 25 | Differentiability | §2.4 | A1 | 46, 67, 68, 69 | |
| 26 | The Chain Rule | §2.6 | 5, 6, 7, 14, 15, 16 | ||
| 28 | Curves in the plane and in space | §3.1 | H2 | 7, 10, 11, 20, 21, 31 | |
| Oct. | 2 | Tangents, Velocity, and Arclength | §3.2,3.3 | A2 | §3.2:15,17,23,24, §3.3:7,9,11 |
| 3 | Gradients | §4.1 | 7,9,11,19,21,31,35 | ||
| 5 | Higher order partial derivatives | §2.6 | H3 | 5, 10, 11, 12, 14, 22 | |
| 9 | Thanksgiving | A3 | |||
| 10 | Divergence and curl | §4.6 | 1—6, 13—16 | ||
| 12 | More about divergence and curl | §4.6 | H4 | 9, 11, 13, 21—25 | |
| 16 | Identities of vector analysis | §4.8 | A4 | 2, 3 | |
| 17 | Paths and parameterizations | §5.1 | 11,13,17 | ||
| 19 | Path integrals of real valued functions | §5.2 | H5 | 5,7,15,17,21,23,25 | |
| 23 | Path integrals of vector valued functions | §5.3 | A5 | 1, 5, 6, 9 | |
| 24 | Integrals independent of path | §5.4 | 1, 4, 13, 15, 20 | ||
| 26 | Double integrals | §6.1 | H6 | 11, 17, 18 | |
| 30 | More general regions of integration | §6.2 | A6 | 2, 3, 12, 14, 16, 22 | |
| 31 | Changing the order of integration | §6.3 | 16—20 | ||
| Nov. | 2 | Change of Variables | §6.4 | H7 | 1, 2, 22, 32 |
| 6 | Triple integrals | §6.5 | A7 | 2, 3, 5, 10, 12, 14 | |
| 7 | Parameterized surfaces | §7.1 | 2, 3, 7, 13, 14, 15 | ||
| 9 | Surface integrals of real valued functions | §7.3 | H8 | 5, 6, 8, 10 | |
| 13 | Surface integrals of vector fields | §7.4 | A8 | 7, 8, 9, 16 | |
| 14 | Multivariable theorems of calculus | ||||
| 16 | Green's theorem | §8.1 | H9 | 3, 4, 6, 9, 14 | |
| 20 | Divergence (Gauss') theorem | §8.2 | A9 | 3, 6, 9, 11 | |
| 21 | Stokes' theorem | §8.3 | 3, 15, 17, 19 | ||
| 23 | Integration Tricks | H10 | |||
| 27 | More Integration Tricks | A10 | |||
| 28 | Differential Forms | ||||
| 30 | Review for December exam | H11 | |||
| 4 | A11 | ||||
| 5 | |||||
| 7 | H12 | ||||
| 11 | A12 |