| Lecture | Date | Section | Topic | Homework |
|---|---|---|---|---|
| 1 | 1/16 | 1.I.1 | Linear Systems | Cht. 1.I# 1.17, 1.20, 1.21, 1.25, 1.29 |
| 2 | 1/18 | 1.I.2 | Describing Solution Sets | Cht. 1.I# 2.15, 2.16, 2.17, 2.18, 2.20, 2.22, 2.23 |
| 3 | 1/21 | 1.I.3 | General = Particular + Homogeneous | Cht. 1.I# 2.19 |
| 4 | 1/23 | 1.I.3 | General = Particular + Homogeneous - con'd | Cht. 1.I# 3.16, 3.17 |
| 5 | 1/25 | 1.II.1 | Linear Geometry of n-Space | Cht. 1.II# 1.3, 1.4, 1.5, 1.7 & the in-class problems |
| 6 | 1/28 | 1.II.2 | Length and Angle Measures | Cht. 1.II# 2.12, 2.14, 2.20, 2.24, 2.26 |
| 7 | 1/30 | Vector Geometry in 2-dimensions (Midpoints, Parallel Lines, Convex Sets) | Linear Combinations homework | |
| 8 | 2/01 | 2.I.1 | Vector Spaces | Cht. 2.I# 1.20, 1.22 |
| 9 | 2/04 | 2.I.2 | Subspaces and Spanning Sets | Cht. 2.I# 2.22, 2.26(a,b,c only), 2.29, 2.30 |
| 10 | 2/06 | 2.II.1 | Linear Independence | Cht. 2.II# 1.18, 1.19, 1.32, 1.39 (a,b only) |
| 11 | 2/08 | 2.III.1 | Basis | Cht. 2.III# 1.16, 1.25, 1.30 |
| 12 | 2/11 | Review | ||
| 13 | 2/13 | Midterm 1 | ||
| 14 | 2/15 | 2.III.2 | Dimension | Cht. 2.III# 2.16, 2.28, 2.29, 2.30, 2.32 |
| 15 | 2/18 | 2.III.3 | Vector Spaces and Linear Systems | Cht. 2.III# 3.17, 3.18, 3.19, 3.20, 3.35, 3.37 |
| 16 | 2/20 | 3.II.1 | Linear Transformations (aka Homomorphisms) | Cht. 3.II# 1.19, 1.23, 1.24, 1.27, 1.33 |
| 17 | 2/22 | 3.II.1 | Linear Transformations - con'd | Cht. 3.II# 1.17, 1.25 |
| 18 | 2/25 | 3.I.1 | Isomorphisms | Cht. 3.III# 1.14, 1.16 and also 2.13 |
| 19 | 2/27 | 3.II.2 | Rangespace and Nullspace | Cht. 3.II# 2.23, 2.24, 2.25, 2.41 |
| 20 | 3/01 | 3.II.2 | Rangespace and Nullspace - con'd | Cht. 3.II# 2.30, 2.31 |
| 21 | 3/04 | 3.I.2 | Isomorphisms and Representations | Cht. 3.III# 1.21 and also 2.16 |
| 22 | 3/06 | Visualizing Linear Maps | ||
| 23 | 3/08 | Geometric Properties of Linear Maps | ||
| 24 | 3/18 | Review | ||
| 25 | 3/20 | Midterm 2 | ||
| 26 | 3/22 | 3.IV.1-3.IV.2 | Matrix Operations & Matrix Multiplication | Cht. 3.IV# 2.14, 2.17, 2.20, 2.29, 2.32 |
| 27 | 3/25 | 3.IV.3 | Mechanics of Matrix Multiplication | Cht. 3.IV# 3.24, 3.25, 3.26, 3.27, 3.35 |
| 28 | 3/27 | 3.IV.4 | Inverses | Cht. 3.IV# 4.13, 4.14, 4.15, 4.20, 4.21, 4.26 |
| 29 | 3/29 | 3.V.1 | Change of Basis | Cht. 3.V# 1.7, 1.8, 1.11, 1.22 |
| 30 | 4/01 | 4.I.1 - 4.I.2 | Determinants | Cht. 4.I# 2.8, 2.9, 2.11, 2.14, 2.17 |
| 31 | 4/03 | 4.III.1 | Formulas for Determinants | Cht. 4.III# 1.13, 1.14 & the in-class problems |
| 32 | 4/05 | 4.II.1 | Geometry of Determinants | Cht. 4.II# 1.13, 1.14, 1.18, 1.20, 1.24 & the in-class problems |
| 33 | 4/08 | 5.II.1 & 5.II.2 | Similarity and Diagonalizability | Cht. 5.II# 1.5, 1.18 and 2.8, 2.10, 2.11 |
| 34 | 4/10 | 5.II.3 | Eigenvectors and Eigenvalues | Cht. 5.II# 3.22, 3.23, 3.25, 3.37, 3.40 |
| 35 | 4/12 | No Class | ||
| 36 | 4/15 | 5.II.3 | Eigenvectors and Eigenvalues - con'd | Cht. 5.II# 3.36, 3.43 & the in-class problems |
| 37 | 4/17 | 5.I.1 | Complex Eigenvalues | Cht. 5.II# 3.24 |
| 38 | 4/19 | Applications of Eigenvalues: Linear Recurances | p.413# 4 and p.423-424# 1,2 | |
| 39 | 4/22 | Review (Eigenvalue Guy) | ||
| 40 | 4/24 | Midterm 3 | ||
| 41 | 4/26 | Applications of Eigenvalues: Differential Equations | Differential equation problems | |
| 42 | 4/29 | Markov Chains |