Time and Location: | Tue 11:00 am - 12:15, Zoom Discussions & Lectures Thur 11:00 am - 12:15, typically in MITCH 220 |
Office Hours: | Wed 4:10 - 5:00 pm in Zoom; also by email; also ask questions in class; also request other Zoom time in case of conflicts |
Professor Info: | Anna Skripka, skripka [at] math [dot] unm [dot] edu |
Week |
Class dates |
Book sections |
Topics |
1 |
Aug 24, 26 |
1.1, 1.2; home reading: 1.3 |
Systems of linear equations (SLE). Gauss-Jordan Elimination. Theorems on the number of solutions. Applications of SLE. |
2 |
Aug 31, Sep 2 |
2.1, 2.2 |
Vectors. Span. Spanning property. Basic logic. |
3 |
Sep 7, 9 Drop with no grade: Sep 10 |
2.3 |
Linear Independence. Homogeneous versus non-homogeneous SLE. |
4 |
Sep 14, 16 |
3.1, 3.2 |
Linear Transformations. Matrix algebra. |
5 |
Sep 21, 23 |
3.2, 3.3 |
Matrix algebra. Inverses. |
6 |
Sep 28, 30 |
4.1, 4.2 |
Subspaces. Basis. |
7 |
Oct 5, 7 (Exam 1) |
covered material of 1.1 - 3.3 |
Review. |
8 |
Oct 12 |
4.3, 4.4 |
Dimension. Row and column spaces. Change of basis. |
9 |
Oct 19, 21 |
5.1, 5.2, 5.3 |
Determinant. Properties and applications of the determinant. |
10 |
Oct 26, 28 |
6.1, 6.2, 3.5 |
Eigenvalues and eigenvectors. Diagonalization. Markov chains. | 11 |
Nov 2, 4 |
8.1, 8.2 |
Dot product and orthogonality. Projection. | 12 |
Nov 9, 11 Withdrawal deadline: Nov 12 |
8.2, 8.5 |
Gram-Schmidt orthogonalization process. Least squares regression. |
13 |
Nov 16, 18 (Exam 2) |
covered material of 3.3 - 6.2 |
Review. |
14 |
Nov 23 |
8.3, 8.4 |
Orthogonal diagonalization. Singular value decomposition. |
15 |
Nov 30, Dec 2 |
7.1, 7.2, 7.3 |
Abstract vector spaces. Basis. Dimension. |
16 |
Dec 7, 9 |
10.1, 10.2 |
Orthogonality. Projection. Review. |
17 |
Dec 14 (Tuesday),
12:30 - 2:30 p.m.
Final Exam |