Schedule
The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
Unless otherwise noted, indicated sections refer to the textbook Linear Algebra Done Right by Axler. [B] refers to A First Course in Linear Algebra by Rob Beezer, and [LADW] refers to Linear Algebra Done Wrong by Sergei Treil.
| Date | Sections in Text | Description | Notes |
|---|---|---|---|
| (W) Sep 4 |
[B], Ch. 1, [LADW], Ch. 2 |
Linear systems |
Lecture 1 Worksheet 1 Row reduction slides |
| (M) Sep 9 |
[B], Ch. 1, [LADW], Ch. 2 |
Gaussian elimination |
Lecture 2 Row reduction SageMathCell |
| (W) Sep 11 | 1A, 1B | RR^n, CC^n, Vector spaces |
Lecture 3 Worksheet 3 |
| (M) Sep 16 | 1C | Subspaces, Direct sums |
Lecture 4 |
| (W) Sep 18 | 2A | Span, Linear independence |
Lecture 5 Worksheet 5 |
| (M) Sep 23 | 2B, 2C | Bases, Dimension |
Lecture 6 |
| (W) Sep 25 | 3A, 3B | Linear maps, Null space, Range |
Lecture 7 Worksheet 7 |
| (M) Sep 30 | 3C | Matrices |
Lecture 8 |
| (W) Oct 2 | 3D | Invertibility, Isomorphisms |
Lecture 9 |
| (M) Oct 7 | 5A | Invariant subspaces, Eigenvectors |
Lecture 10 Worksheet 10 |
| (T) Oct 8 | Review session for Exam 1, 7 - 9 pm, Room 2-361 | ||
| (W) Oct 9 | Exam 1 on Ch. 1 - 3 |
Exam 1 review packet |
|
| (M) Oct 14 | Indigenous Peoples Day, no class | ||
| (W) Oct 16 | 5B | Minimal polynomial |
Lecture 11 |
| (M) Oct 21 | 5C, 5D | Upper triangular matrices, Diagonalization | Lecture 12 |
| (W) Oct 23 | 5D | Diagonalization |
Lecture 13 Worksheet 13 |
| (M) Oct 28 | 6A, 6B |
Inner products and norms Orthonormal bases and Gram-Schmidt |
Lecture 14 |
| (W) Oct 30 | 6C | Orthogonal complements, Minimization |
Lecture 15 Worksheet 15 Worksheet 15 Solutions |
| (M) Nov 4 | 7A | Adjoint, Self-Adjoint, and Normal Operators |
Lecture 16 |
| (W) Nov 6 | 7B | Spectral theorem |
Lecture 17 |
| (M) Nov 11 | Veterans Day, no class | ||
| (T) Nov 12 | Review session for Exam 2, 7 - 9 pm, Room 2-361 | ||
| (W) Nov 13 | Exam 2 on Ch. 1 - 6 | Exam 2 review packet | |
| (M) Nov 18 | 7C, 7D | Positive operators, Isometries and matrix factorizations | Lecture 18 |
| (W) Nov 20 | 7E, 7F |
Singular value decomposition Drop date |
Lecture 19 Worksheet 19 |
| (M) Nov 25 | 8A | Generalized eigenvectors | Lecture 20 |
| (W) Nov 27 | 8B | Generalized eigenspace decomposition | Lecture 21 |
| (M) Dec 2 | 8C, 8D | Jordan canonical form, Trace |
Lecture 22 Worksheet 22 |
| (W) Dec 4 | 9A, 9B | Bilinear and multilinear forms | Lecture 23 |
| (M) Dec 9 | 9C | Determinants |
Lecture 24 3Blue1Brown video |
(W) Dec 11 | Determinants and Review |
| (F) Dec 13 | Review session for Final Exam, 7 - 9 pm, Room 2-361 | ||
|
(M) Dec 16 |
Final Exam: 1:30 - 4:30 pm, Room 6-120 |
Final Exam practice |