Syllabus and General Information
Lecture | Date | Section Covered |
1 | 05/28 | 1.1, 1.2 Matrices and Vectors |
2 | 05/29 | 1.3 Systems of Linear Equations
1.4 Gaussian Elimination |
3 | 05/30 | 1.6 Span of a Set of Vectors
1.7 Linear Dependence and Linear Independence |
4 | 06/03 | 2.1 Matrix Multiplication; Quiz 1 |
5 | 06/04 | 2.3, Appendix E Invertibility and Elementary Matrices, Uniqueness of RREF |
6 | 06/05 | 2.4 Inverse of a Matrix |
7 | 06/06 | 2.6 LU Decomposition of a Matrix; Review for the exam |
8 | 06/10 | Midterm Exam 1 (on material covered in Lectures 1-6) |
9 | 06/11 | 3.1 Determinants; Cofactor Expansions |
10 | 06/12 | 3.2 Properties of Determinants |
11 | 06/13 | 4.1 Subspaces
4.2 Basis and Dimension, 4.3 Subspaces associated with a matrix |
12 | 06/17 | 5.1 Eigenvalues and Eigenvectors; Quiz 2 |
13 | 06/18 | 5.2 Characteristic Polynomial |
14 | 06/19 | 5.3 Diagonalization of a Matrix
5.5 Applications of Diagonalization; Review for the exam |
15 | 06/20 | Midterm Exam 2 (on material covered in Lectures 7, 9-13) |
16 | 06/24 | 6.1 Geometry of Vectors; Projection onto a Line |
17 | 06/25 | 6.2 Orthogonal Sets of Vectors; Gram - Schmidt Process; QR factorization |
18 | 06/26 | 6.3 Orthogonal Projection; Othogonal Complements |
19 | 06/27 | 6.4
Least Squares 6.5 Normal Equations, Orthogonal Matrices; Quiz 3 |
20 | 07/01 |
6.6 Diagonalization of Symmetric Matrices, Quadratic forms Spectral Decomposition for Symmetric Matrices |
21 | 07/02 | Catch up and Review for the Final Exam |
22 | 07/03 | Final Exam (cumulative, 180 min) |