Linear Algebra
| General Information | Syllabus | HW Assignments | Course Resources |
|---|
Syllabus
The following is a tentative syllabus for the course. This page will be updated irregularly.On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 3/30 | 1.1, 1.2 | Introduction and Vector Spaces |
| 4/1 | 1.2, 1.3 | Vector Spaces and Subspaces |
| 4/2 (x-hour) | Proofs and Induction | |
| 4/3 | 1.3, 1.4 | Subspaces, Linear combinations |
| 4/6 | 1.4, 1.5 | Systems of Linear Equations, Linear Independence and Dependence |
| 4/8 | 1.6 | Bases and Dimension |
| 4/9 (x-hour) | ||
| 4/10 | 1.6 | Bases and Dimension |
| 4/13 | 2.1 | Linear Transformations, Nullspace and Range |
| 4/15 | 2.1 | Linear Transformations, Nullspace and Range |
| 4/16 (x-hour) | ||
| 4/17 | 2.2 | Matrix Representations of a linear transformation |
| 4/20 | 2.3 | Matrix Representations of Compositions of linear maps: matrix multiplication |
| 4/22 | 2.4 | Isomorphism and Invertibility |
| 4/23 | Midterm Exam I | All material through 2.2 |
| 4/24 | 2.5 | Change of Basis |
| 4/27 | 3.1,3.2 | Elementary Matrix Operations and Matrices |
| 4/29 | 3.2,3.3 | Rank of a Matrix and Inverses |
| 4/30 (x-hour) | ||
| 5/1 | 3.3,3.4 | Systems of Linear Equations |
| 5/4 | 4.2-4.4 | An overview of determinants |
| 5/6 | 5.1 | Eigenvalues and Eigenvectors |
| 5/7 (x-hour) | ||
| 5/8 | 5.2 | Diagonalizability |
| 5/11 | 5.2 | More on diagonalizability |
| 5/13 | 2.7, 5.2 | Applications to differential equations |
| 5/14 | Midterm Exam II | Material through 5.2 (no differential equations) |
| 5/15 | 5.3 | Matrix Limits and Markov Chains |
| 5/18 | 6.1 | Inner Product Spaces and Norms |
| 5/20 | 6.2 | Gram-Schmidt Orthogonalization |
| 5/21 (x-hour) | ||
| 5/22 | 6.3 | The Adjoint of a Linear Transformation |
| 5/25 | Memorial Day Holiday | No classes |
| 5/27 | 6.3 | Linear Regression; minimal solutions |
| 5/28 (x-hour) | ||
| 5/29 | 6.5 | Unitary/Orthogonal Diagonalization |
| 6/1 | 6.5 | Unitary/Orthogonal Diagonalization; QR factorization |
| 6/5 | Final Exam | 8-11am |
T. R. Shemanske
Last updated June 17, 2019 14:18:34 EDT