| Lecture |
Date |
Section Covered |
| 1 |
01/21 |
|
1.1, 1.2 Systems of Linear Equations, Row
Reduction, REF, RREF
|
|
| 2 |
01/24 |
1.3, 1.4 Vector Equations,
Matrix Equation AX = B |
| 3 |
01/28 |
1.5 Solution Sets of Linear
Systems |
| 4 |
01/31 |
1.6 Span of a Set of Vectors |
| 5 |
02/04 |
1.7 Linear Dependence and Independe |
| 6 |
02/07 |
1.8 Linear transformations;
Quiz 1
|
| 7 |
02/11 |
1.9 The Matrix of a Linear
Transformation |
| 8 |
02/14 |
2.1, 2.2 Matrix
Operations, Inverse of a Matrix |
| 9 |
02/18 |
2.3
Characterizations of Invertible Matrices |
| 10 |
02/21 |
Review for Exam 1 |
| 11 |
02/25 |
Exam 1 (in our class room) on material covered in Lectures 1-9 |
| 12 |
02/28 |
3.1 Introduction to
Determinants |
| 13 |
03/04 |
3.2 Properties of Determinants |
| 14 |
03/07 |
4.1 Vector Spaces and Subspaces |
| 15 |
03/11 |
4.2 Null Spaces, Column Spaces,
and Linear Transformations |
| 16 |
03/14 |
4.3 Linearly
Independent Sets, Bases |
| 17 |
03/25 |
4.4.Coordinate
Systems. Quiz 2 |
| 18 |
03/28 |
4.5, 4.6 The Dimension of a
Vector Space, Change of a Basis |
| 19 |
04/01 |
5.1 Eigenvalues and Eigenvectors |
| 20 |
04/04 |
|
5.2, 5.5 The Characteristic Equation, Complex
Eigenvalue. Review for Exam 2
|
|
| 21 |
04/08 |
Exam 2 (in our class room) on material covered in Lectures 12-18 |
| 22 |
04/11 |
6.1, 6.2
Inner Product (including Hermitian), Length, and Orthogonality, Orthogonal
Sets |
| 23 |
04/15 |
6.3 Orthogonal Projections |
| 24 |
04/18 |
6.4 The Gram–Schmidt
Process |
| 25 |
04/22 |
6.5 Least Squares, Problems.
Quiz 3 |
| 26 |
04/25 |
7.1 Diagonalization of Symmetric Matrices |
| 27 |
04/29 |
7.2, 7.4
Quadratic Forms, The Singular Value Decomposition |
| 28 |
05/02 |
Review for the Final Exam |