Class | Date | Main Topic | Notes |
1 | Tu 01/28 | 1.1 Introduction, 1.2 The Language, Overview, GQ0a | Pre-assess., HW0 |
2 | Th 01/30 | 1.3 Elementary Geometry and 1.4 Euclidean Norm and Inner Product | HW1.2, HW1.3 |
3 | Tu 02/04 | 1.4 Euclidean Norm and Inner Product, 1.5 Non-Euclidean Norms | HW1.4, HW1.5 |
4 | Th 02/06 | 1.6 Orthogonality | HW1.6 |
5 | Tu 02/11 | 1.7 Linearity and Matrix Multiplication | HW1.7 |
6 | Th 02/13 | 1.8 Elementary Properties of Matrix Multiplication | HW1.8 |
7 | Tu 02/18 | 1.9 Matrix Inner Product and Norms | HW1.9 |
8 | Th 02/20 | Test 1: Chapter 1 The Language of Linear Algebra | |
9 | Tu 02/25 | 2.2 Elementary Matrices and Echelon Forms | HW2.1, HW2.2 |
10 | Th 02/27 | 2.3 Nonsingular Matrices and Inverses | HW2.3 |
11 | Tu 03/04 | 2.4 Rank of a Matrix | HW2.4 |
12 | Th 03/06 | 2.5 General Linear Systems | HW2.5 |
13 | Tu 03/11 | 2.8 Making Gaussian Elimination Work, 2.10 Triangular Factorizations | HW2.8, HW2.10 |
14 | Th 03/13 | Test 2: Chapter 2 Systems, Elimination, and Echelon Forms | |
Tu 03/18 | Spring Break | ||
Th 03/20 | Spring Break | ||
15 | Tu 03/25 | 3.1 Introduction to Eigensystems | HW3.1 |
16 | Th 03/27 | 3.2 Similarity and Diagonalization | HW3.2 |
17 | Tu 04/01 | 3.3 Functions of Diagonalizable Matrices | HW3.3 |
18 | Th 04/03 | 3.4 Normal Matrices | HW3.4 |
19 | Tu 04/08 | 3.5 Singular Value Decomposition (SVD) | HW3.5 |
20 | Th 04/10 | 3.6 Positive Definite Matrices and Quadratic Forms | HW3.6 |
21 | Tu 04/15 | Test 3: Chapter 3 Eigensystem Basics | |
22 | Th 04/17 | 4.1 Spaces and Subspaces | HW4.1 |
23 | Tu 04/22 | 4.2 The Fundaemental Subspaces | HW4.2 |
24 | Th 04/24 | 4.3 Orthogonal Complements and Projections | HW4.3 |
25 | Tu 04/29 | 4.4 Least Squares | HW4.4 |
26 | Th 05/01 | 4.5 Coordinates | HW4.5 |
27 | Tu 05/06 | 4.6 Change of Bases | HW4.6 |
28 | Th 05/08 | Test 4: Chapter 4 Vector Spaces | |
29 | Tu 05/13 | Review | Post-assessment |
Tu 05/20 | 01:00-03:00 Final Exam Note the date and time! | ||