| Lectures | Textbook | Brief Description | Homework Assignment |
|---|---|---|---|
| 1/4 - 1/8 no class on 1/6 |
chapters 1 |
Vector Spaces Subspaces |
Due 1/13 Section 1.2: 2, 4b, 5, 7, 9 (only Th 1.2c) 12, 13, 17, 21 Section 1.3: 2cg, 4, 5, 6, 8cf, 12, 18, 31 |
| 1/11 - 1/15 x-hour class on 1/14 |
chapter 1 |
Linear Combinations Linear Dependence Bases |
Due 1/20: Section 1.4: 2ac, 3f, 5g, 13, 15 Section 1.5: 2fe, 7, 9, 14, 20 Section 1.6: 2ae, 7, 9, 12, 13, 17, 35 |
| 1/18 - 1/22 no class on 1/18 x-hour class on 1/21 |
chapter 2 |
Linear Transformations Matrix Representation Matrix Multiplication |
Due 1/27: Section 2.1: 2, 5, 9bcd, 11, 13, 21, 22 (only T: R^3->R), 23 Section 2.2: 2b, 3 (only [T]_b^y), 7, 11, 13, 16 Section 2.3: 2a, 3a, 11, 12, 13 |
| 1/25-1/29 |
chapters 2, 3 |
Invertibility and Isomorphisms The Change of Coordinate Matrix Elementary Matrices |
Due 2/3: Section 2.4: 2adf, 3cd, 4, 6, 15 Section 2.5: 2ad, 3d, 4, 6c, 7 Section 3.1: 3a, 6, 8, 12 |
| 1/26 |
Exam 1 | Time: 4:00 Location: Kemeny Hall 007 |
|
| 2/1 - 2/5 |
chapters 3 |
Matrix Inverses Systems of Linear Equations |
Due
2/10: Section 3.2: 2acg, 4a, 5ace, 6a, 7, 14, 22 Section 3.3: 2abd, 3abd, 4a, 6, 7be, 9 Section 3.4: 2a, 3, 4a, 7, 10 |
| 2/8 - 2/12 |
chapter 4 |
Determinants |
Due 2/17: Section 4.1: 2a, 4b, 6, 7 Section 4.5: 4, 9, 15, 17, 19 Section 4.2: 3, 16, 21, 23, 25, 27, 30 Hint: 1+...+n=n(n+1)/2 |
| 2/15 - 2/19 |
chapter 5 |
Determinants Eigenvalues and Eigenvectors Diagonalizability |
Due 2/24: Section 4.3: 3, 5, 12, 15, 25d Section 4.4: 6 Section 5.1: 2c, 3ab, 4b, 8a, 14, 15a, 20 Section 5.2: 2a, 2f, 8, 11 |
| 2/16 |
Exam 2 | Time: 4:00 Location: Kemeny Hall 007 |
|
| 2/22 - 2/26 |
chapter 6 |
Diagonalizability Inner Products Gram-Schmidt Orthogonalization |
Due 3/2: Section 5.2: 3e, 4, 7 Section 6.1: 2, 3, 5, 6 (Th 6.1e only), 8, 10, 12, 17 Section 6.2: 2ad, 4, 6, 11, 19, 20 |
| 2/29 - 3/4 |
chapter 6 |
Gram-Schmidt Orthogonalization The Adjoint of a Linear Operator Self-Adjoint Operator |
Due 3/7: (NOT TO BE GRADED) Section 6.2: 5, 7, 9, 10, 15a, 16, 17 Section 6.3: 2ab, 3ab, 6, 8, 10, 12, Section 6.4: 2acd, 3, 4, 6a, 9, 11, 12 |
| 3/7 |
chapters 6 |
Self-Adjoint Operator | |
| 3/14 |
Final Exam | Time: 8:00 am Location: Kemeny Hall 006 |