Date |
Topic |
Chapters |
Homework |
Due Date |
Jan. 17 |
Introduction, matrices, vectors, linear systems |
1.1--1.2 |
Read 1.1, 1.2 |
Jan. 22 |
Jan. 22 |
Number of solutions of a linear system |
1.3 |
HW 1 |
Jan. 29 |
Jan. 24 |
Introduction to linear transformations |
2.1 |
|
|
Jan. 29 |
Linear transformations: geometric aspects |
2.2--2.3 |
HW 2 |
Feb. 5 |
Jan. 31 |
Matrices: elementary properties |
2.3--2.4 |
|
|
Feb. 5 |
Image and kernel |
3.1 |
HW 3 |
Feb.12 |
Feb. 7 |
Subspaces, bases and linear independence |
3.1--3.2 |
|
|
Feb. 12 |
Review |
Practice midterm 1 |
Read 3.3 |
Feb. 19 |
Feb. 14 |
Midterm 1 |
|
|
|
Feb. 19 |
Dimension of a vector space |
3.3 |
HW 4 |
Feb. 26 |
Feb. 21 |
Coordinates |
3.4 |
|
|
Feb. 26 |
Linear Spaces |
4.1 |
HW 5 |
Mar. 5 |
Feb. 28 |
Linear transformations between spaces, isomorphisms |
4.2--4.3 |
|
|
Mar. 5 |
Orthogonal projections and bases, Gram-Schmidt process |
5.1 |
HW 6 |
Mar. 19 |
Mar. 7 |
Orthogonal transformations and matrices |
5.2.--5.3 |
|
|
Mar. 12 |
Spring Break |
|
Mar. 14 |
Spring Break |
|
Mar. 19 |
Least squares |
5.3--5.4 |
HW 7 |
Mar. 26 |
Mar. 21 |
Inner product spaces |
5.5 |
|
|
Mar. 26 |
Review |
Practice midterm 2 |
Read 6.1 |
Apr. 2 |
Mar. 28 |
Midterm 2 |
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|
|
Apr. 2 |
Determinants |
6.1 |
HW 8 |
Apr. 9 |
Apr. 4 |
More about determinants |
6.2 -- 6.3 |
|
|
Apr. 9 |
Diagonalization |
6.3--7.1 |
HW 9 |
Apr. 16 |
Apr. 11 |
Finding eigenvalues |
7.2 |
|
|
Apr. 16 |
Finding eigenvectors |
7.3--7.4 |
HW 10 |
Apr. 23 |
Apr. 18 |
Complex eigenvalues |
7.5 |
|
|
Apr. 23 |
Symmetric matrices |
8.1 |
HW 11 |
Apr. 30 |
Apr. 25 |
More examples |
|
|
|
Apr. 30 |
Review |
Practice final exam (exam of last year), Other practice final exam |
|
|
May |
Final Exam (Section 2: May 9 09:00am -- 12:00pm, Math 203. Section 3: May 7 01:10pm -- 4:00pm, Math 207. ) |
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