Days/Dates |
Lectures |
Sections |
Topics Covered |
Monday 1/9 |
1 |
1.2 & 1.3 |
Geometry of linear equations, elementary row reduction, elementary matrix.
|
Wednesday 1/11 |
2 |
1.4 & 1.5 |
Matrix multiplication. Triangular factorization.
|
Friday 1/13 |
3 |
1.6 |
Matrix inverses and transposes |
Monday 1/16 |
Martin Luther King Jr. Day - UCSD holiday |
Wednesday 1/18 |
4 |
2.1 |
Vector spaces and subspaces |
Friday 1/20 |
5 |
2.2 |
Solving A x = 0 and Ax = b |
Monday 1/23 |
6 |
2.3 |
Linear dependence, basis, and dimension |
Wednesday 1/25 |
7 |
2.4 |
The four fundamental subspaces |
Friday 1/27 |
8 |
2.6 |
Linear Transformations |
Monday 1/30 |
9 |
3.1 |
Orthogonal vectors and subspaces |
Wednesday 2/1 |
10 |
3.2 |
Cosines and projections onto lines |
Friday 2/3 |
11 |
3.3 |
Projections and least squares |
Monday 2/6 |
12 |
3.4 |
Orthogonal bases and Gram-Schmidt orthogonalization process |
Wednesday 2/8 |
Review |
Friday 2/10 |
Midterm Exam
|
Monday 2/13 |
13 |
4.2 |
Properties of the determinant |
Wednesday 2/15 |
14 |
4.3 |
Formulas for the determinant |
Friday 2/17 |
15 |
4.4 |
Applications of determinants |
Monday 2/20 |
Presidents' Day Holiday - UCSD holiday |
Wednesday 2/22 |
16 |
5.1 |
Introduction to eigenvalues and eigenvectors |
Friday 2/24 |
17 |
5.2 |
Diagonalization of a matrix |
Monday 2/27 |
18 |
5.3 |
Difference equations and powers Ak |
Wednesday 3/1 |
19 |
5.4 |
Differetial equations and eAt |
Friday 3/3 |
20 |
5.5 |
Complex matrices |
Monday 3/6 |
21 |
5.6 |
Similarity transformations |
Wednesday 3/8 |
22 |
6.1 |
Quadratic functions. Minima, maxima, and saddle points. |
Friday 3/10 |
23 |
6.2 |
Symmetric positive definite matrices |
Monday 3/13 |
24 |
6.3 |
Singular value decomposition |
Wednesday 3/15 |
25 |
6.4 |
Minimum principles |
Friday 3/17 |
Review |
Final Exam:
3:00 pm - 5:59 pm, Wednesday, March 22, 2017.
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