| Date | Topic | Book | Homework | Practice Problems | |
|---|---|---|---|---|---|
| Sept. | 13 | Introduction to the course | §1.1 | ||
| 15 | Vectors | §1.1 | 14, 16, 18, 20, 23 | ||
| 16 | Length, angle | §1.2 | 17, 18, 32, 33 | ||
| 20 | Projection | §1.2 | 40, 41, 46, 49, 61 | ||
| 22 | The cross product | p. 48—49 | 1, 2, 4, 5 | ||
| 23 | More about the cross product | H1 | |||
| 27 | Linear equations and matrices | §2.1-2 | A1 | §2.1: 1, 3, 6, 9, 28 | |
| 29 | Solving linear equations with matrices I | §2.2 | 1, 2, 10, 11, 17, 19 | ||
| 30 | Solving linear equations with matrices II | H2 | |||
| Oct. | 4 | Rank | §2.2 | A2 | 23, 24, 40, 48 |
| 6 | Linear combinations | §2.3 | 1, 3, 5, 10, 11, 20 | ||
| 7 | Functions and linear transformations | §3.6 | H3 | 3 – 6 | |
| 11 | More about linear transformations | §3.6 | A3 | 7 – 10 | |
| 13 | Some geometric linear transformations | §3.6 | 36, 37, 38 | ||
| 14 | In-class exam #1 | §3.3 | H4 | ||
| 18 | Representing linear transformations | §3.6 | A4 | 23, 24, 25 | |
| 20 | Representing linear transformations II | §3.6 | |||
| 21 | Matrix Multiplication | §3.1 | H5 | 5, 6, 11, 12, 17, 18 | |
| 25 | More matrix multiplication | §3.1 | A5 | 23—28, 31, 32 | |
| 27 | Transformations and equations | ||||
| 28 | Invertible transformations | §3.3 | H6 | 8 | |
| Nov. | 1 | Computing the inverse | §3.3 | A6 | 48, 49, 52, 53, 54 |
| 3 | Subspaces | §3.5 | 1 – 8 | ||
| 4 | More subspaces | §3.5 | H7 | 15, 16, | |
| 8 | Linear dependence | §2.3 | A7 | 22 – 24 | |
| 10 | In-class exam #2 | ||||
| 11 | Linear independence | §2.3 | H8 | 25, 26, 44, 46 | |
| 15 | Bases | §3.5 | A8 | 45, 46, 47 | |
| 17 | Dimension | §3.5 | |||
| 18 | Proof of the key lemma | §3.5 | H9 | 39, 40, | |
| 22 | The rank-nullity theorem | §3.5 | A9 | 41, 42 | |
| 24 | Translates | ||||
| 25 | More translates | H10 | |||
| 29 | The Kernel Principle | A10 | |||
| Dec. | 1 | More Kernel Principle | |||
| 2 | Odds and Ends | H11 | |||
| 6 | A11 | ||||
| 8 | |||||
| 9 | H12 | ||||
| 13 | A12 |