Instructor: Johan Asplund, johan.asplund[at]stonybrook.edu, Office: Math Tower 4-105
Class time and location:
MW 5:00–6:20pm, Physics P112
Office hours:
TBA (Math Tower 4-105) and TBA (MLC via Zoom)
Grader: Daniel Johnson, daniel.johnson[at]stonybrook.edu.
Syllabus: Here.
Textbook: Linear Algebra with Applications (5th edition) by Otto Bretscher.
Quizzes and suggested problems: Most weeks there will be an in-class quiz. It will be held at the end of the class at the dates indicated in the tentative schedule below. Each quiz consists of one or two problems.
| Date | Topic | Read | Problems | Quiz |
|---|---|---|---|---|
| Mon Aug 24 | Linear systems, matrices and vectors | 1.1, 1.2 | ||
| Wed Aug 26 | Gauss–Jordan elimination, matrix operations | 1.2, 1.3 | ||
| Mon Aug 31 | Linear transformations | 2.1 | Quiz 1 | |
| Wed Sep 2 | Linear transformations in geometry | 2.2 | ||
| Mon Sep 7 | Labor day | |||
| Wed Sep 9 | Matrix products | 2.3 | Quiz 2 | |
| Mon Sep 14 | Inverses of linear transformations | 2.4 | ||
| Wed Sep 16 | Image and kernel of linear transformations | 3.3 | Quiz 3 | |
| Mon Sep 21 | Subspaces and bases | 3.2 | ||
| Wed Sep 23 | Dimension | 3.3 | Quiz 4 | |
| Mon Sep 28 | Midterm review | All of the above | ||
| Wed Sep 30 | Midterm I (In class) | |||
| Mon Oct 5 | Coordinates | 3.4 | ||
| Wed Oct 7 | Orthogonal projections | 5.1 | ||
| Mon Oct 12 | No class (Fall break) | |||
| Wed Oct 14 | No class (Fall break) | |||
| Mon Oct 19 | Gram–Schmidt process | 5.2 | Quiz 5 | |
| Wed Oct 21 | Orthogonal transformations | 5.3 | ||
| Mon Oct 26 | Least squares | 5.4 | Quiz 6 | |
| Wed Oct 28 | Inner product spaces | 5.5 | ||
| Mon Nov 2 | Determinants | 6.1 | Quiz 7 | |
| Wed Nov 4 | Midterm review | 5.1–6.1 | ||
| Mon Nov 9 | Midterm II (In class) | |||
| Wed Nov 11 | More determinants | 6.2 | ||
| Mon Nov 16 | Cramer's rule | 6.3 | ||
| Wed Nov 18 | Diagonalization | 7.1 | Quiz 8 | |
| Mon Nov 23 | Eigenvalues | 7.2 | ||
| Wed Nov 25 | Eigenvectors | 7.3 | Quiz 9 | |
| Mon Nov 30 | Applications of diagonalization | 7.4 | ||
| Wed Dec 2 | Final review | All of the above | ||
| Mon Dec 7 | Final review | All of the above | ||
| Mon Dec 14 | Final Exam: 11:15am–1:45pm, TBA | |||