Lecture |
Date |
Section Covered |
1 |
09/07 |
1.1, 1.2 Matrices and Vectors |
2 |
09/11 |
1.3 Systems of Linear Equations |
3 |
09/14 |
1.4 Gaussian Elimination |
4 |
09/18 |
1.6 Span of a Set of Vectors |
5 |
09/21 |
1.7 Linear Dependence and Linear Independence |
6 |
09/25 |
1.7, 2.1 Homogeneous Systems, Matrix Multiplication |
7 |
09/28 |
2.1 Matrix Algebra;
Quiz 1 |
8 |
10/02 |
2.3,
Appendix E Invertibility and Elementary Matrices, Uniqueness of RREF |
9 |
10/05 |
2.4
Inverse of a Matrix |
10 |
10/09 |
2.6 LU Decomposition of a Matrix; Review for the exam |
11 |
10/12 |
Midterm Exam 1 |
12 |
10/16 |
3.1 Determinants; Cofactor Expansions |
13 |
10/19 |
3.2 Properties of Determinants |
14 |
10/23 |
4.1 Subspaces |
15 |
10/26 |
4.2 Basis and Dimension |
16 |
10/30 |
4.3 Column Space and Null Space of a Matrix |
17 |
11/02 |
5.1 Eigenvalues and Eigenvectors;
Quiz 2 |
18 |
11/06 |
5.2 Characteristic Polynomial |
19 |
11/09 |
5.3 Diagonalization of a Matrix |
20 |
11/13 |
5.5 Applications of Eigenvalues;
Review for the exam |
21 |
11/16 |
Midterm Exam 2 |
22 |
11/20 |
6.1 Geometry of Vectors; Projection onto a Line |
23 |
11/21 |
6.2 Orthogonal Sets of Vectors; Gram
- Schmidt Process; QR factorization |
24 |
11/27 |
6.3 Orthogonal Projection; Othogonal Complements |
25 |
11/30 |
6.4
, 6.5 Least Squares, Normal Equations,
Orthogonal Matrices |
26 |
12/04 |
6.6 Diagonalization of Symmetric Matrices
|
27 |
12/07 |
6.6 Spectral Decomposition for Symmetric Matrices, Diagonalization of Quadratic Forms |
28 |
12/11 |
Review for the Final Exam |