Lecture |
Date |
Section in Text
|
Brief Description
|
Day 1 |
Wed. Sept 16
|
1.1
|
Systems of Linear Equations
|
Day 2 |
Thurs. Sept 17
|
1.2
|
Row Reduction and Echelon Forms
|
Day 3 |
Fri. Sept. 18
|
1.3
|
Vector Equations
|
Day 4 |
Mon. Sept. 21
|
1.4 -1.5
|
The Matrix Equation Ax=b and Solution Sets of Linear Equations
|
Day 5 |
Wed. Sept. 23
|
1.7
|
Linear Independence
|
Day 6 |
Thurs. Sept. 24
|
1.8
|
Introduction to Linear Transformations
|
Day 7 |
Fri. Sept. 25
|
1.9
|
The Matrix of a Linear Transformation
|
Day 8 |
Mon. Sept. 28
|
2.1
|
Matrix Operations
|
Day 9 |
Wed. Sept. 30
|
2.2
|
Inverse of a Matrix
|
Day 10 |
Thurs. Oct. 1 |
2.3
|
Characterization of Invertible Matrices
|
Day 11 |
Fri. Oct. 2 |
3.1 - 3.2 |
The Determinant and its Properties |
Day 12 |
Mon. Oct. 5
|
4.1 |
Vector Space and Subspaces
|
Day 13 |
Wed. Oct. 7 |
4.2
|
Null Spaces (Kernel), Column Spaces, and Linear Transformations
|
Day 14 |
Fri. Oct. 8 |
4.3
|
Linear Independent sets and bases
|
Day 15 |
Fri. Oct. 9 |
4.4
|
Coordinate Systems
|
Day 16 |
Mon. Oct. 12 |
4.5
|
The dimension of a vector space
|
Day 17 |
Wed. Oct. 14 |
4.6
|
Rank
|
Day 18 |
Fri. Oct. 16
|
4.7
|
Change of basis
|
Day 19 |
Mon. Oct. 19 |
5.1
|
Eigenvectors and Eigenvalues
|
Day 20 |
Wed. Oct. 21 |
5.2
|
The Characteristic Equation
|
Day 21 |
Thurs. Oct. 22 |
5.3
|
Diagonalization
|
Day 22 |
Fri. Oct. 23 |
6.1
|
Inner Product, Length and Orthogonality
|
Day 23 |
Mon. Oct. 26
|
6.2
|
Orthogonal Sets
|
Day 24
|
Wed. Oct. 28
|
6.3
|
Orthogonal Projections
|
Day 25 |
Thurs. Oct. 29 |
6.4
|
The Gram-Schmidt Process
|
Day 26 |
Fri. Oct. 30 |
7.1
|
Diagonalization of Symmetric Matrices
|
Day 27 |
Mon. Nov. 2 |
4.9
|
Application: Markov Chains & Google's page rank
|
Day 28 |
Wed. Nov. 4 |
7.5
|
Principal Component Analysis (PCA) & Eigenfaces
|
Day 29 |
Fri. Nov. 6 |
7.4
|
Application: Singular Value decomposition (SVD)
|
Day 30 |
Mon. Nov. 9 |
7.4
|
Application: SVD and storing images
|
Day 31 |
Wed. Nov 11 |
Guess speaker
|
Application: Image processing
|
Day 32 |
Fri. Nov 13 |
No section in book
|
Application -- JPEG compression algorithm.
|
Day 33 |
Mon. Nov. 16 |
no new material
|
Review
|