| Lecture |
Date |
Section in Text
|
Brief Description
|
|---|
| Day 1 |
Fri. June 27th
|
1.1
|
Systems of Linear Equations
|
| Day 2 |
Sat. June 28th (9:20-10:25 am!)
|
1.2
|
Row Reduction and Echelon Forms
|
| Day 3 |
Mon. June 30
|
1.3 1.4
|
Vector Equations; Matrix Equations
|
| Day 4 |
Wed. July 2
|
1.4 -1.5
|
The Matrix Equation Ax=b and Solution Sets of Linear Equations
|
| Day 5 |
Fri. July 4
|
1.7
|
Linear Independence
|
| Day 6 |
Mon. July 7
|
4.1, 4.2
|
Vector spaces, linear transformation, null space, column space
|
| Day 7 |
Wed. July 9
|
4.2, 1.9
|
Definition of Linear Transformations, Kernel and Range and the
standard matrix
|
| Day 8 |
Fri. July 11
|
1.9, 2.1
|
Reading Injectivity and Surjectivity of T: Rn --> Rm from the matrix
and Matrix Operations
|
| Day 9 |
Mon. July 14
|
2.2
|
Inverse of a Matrix
|
| Day 10 |
Wed. July 16 |
2.3
|
Inverse Matrix Theorem
|
| Day 11 |
Fri. July 18 |
4.3 |
Linear independent sets; bases |
| |
TBD |
|
MIDTERM #1 |
| Day 12 |
Mon. July 21
|
2.9 |
Coordinates, Dimension and rank
|
| Day 13 |
Wed. July 23 |
4.4/5.4/4.7
|
Matrix of a transformation, Change of coordinates matrix
|
| Day 14 |
Fri. July 25 |
4.7
|
Change of coordinates matrix and composition of linear transformations
|
| Day 15 |
Mon. July 28 |
3.1, 3.2
|
Determinant and its Properties of Determinants
|
| Day 16 |
Wed. July 30 |
5.1, 5.2
|
Eigenvectors and Eigenspaces
|
| Day 17 |
Fri. August 1 |
5.2, 5.3
|
Eigenvalues and Characteristic Equation
|
| Day 18 |
Mon. August 4
|
5.3, 5.4
|
Diagonalization and linear transformations
|
| Day 19 |
Wed. August 6 |
6.1, 6.2
|
Inner products and Orthogonality
|
| Day 20 |
Fri. August 8 |
6.3
|
Projections
|
| |
TBD |
|
MIDTERM #2 |
| Day 21 |
Mon. August 11 |
6.4
|
Application: TBD
|
| Day 22 |
Wed. August 13 |
7.1
|
Application: TBD
|
| Day 23 |
Fri. August 15
|
4.9, 5.8
|
Application: TBD
|
| Day 24
|
Mon. August 18
|
4.9, 5.8
|
Application: TBD
|
| Day 25 |
Wed. August 20 |
7.4
|
Application: TBD
|
| Day 26 |
Fri. August 22 |
7.4
|
Application: TBD
|
| Day 27 |
Mon. August 25 |
No section in book
|
Application: TBD
|
| Day 28 |
Wed. August 27 |
Section 7.5
|
Application: TBD
|