Students with documented disabilities: If you are seeking classroom accommodations under the Americans with Disabilities Act, you are required to register with the Center for Academic Achievement, located in Duffy 109. To receive academic accommodations for this class, please request an accommodation letter from the Center for Academic Achievement and meet with me at the beginning of the semester.
| Week | Dates | Text Section | Topic(s) | |
| 1 | 1/18 | 1.1 | Introduction to Linear Systems | |
| 2 | 1/23 | 1/25 | 1.2 | Matrices, Vectors, and Gauss-Jordan Elimination |
| 1.3 | On the Solutions of Linear Systems; Matrix Algebra | |||
| 3 | 1/30 | 2/1 | 2.1 | Introduction to Linear Transformations and Their Inverses |
| 2.2 | Linear Transformations in Geometry | |||
| 4 | 2/6 | 2/8 | 2.3 | The Inverse of a Linear Transformation |
| 2.4 | Matrix Products | |||
| 5 | 2/13 | 2/15 | Review | |
| Exam I | ||||
| 6 | 2/20 | 2/22 | 3.1 | Image and Kernel of a Linear Transformation |
| 3.2 | Subspaces of R^n; Bases and Linear Independence | |||
| 7 | 2/27 | 3/1 | 3.3 | The Dimension of a Subspace of R^n |
| 3.4 | Coordinates | |||
| spring break | 3/6 | 3/8 | No Classes | |
| 8 | 3/13 | 3/15 | 5.1 | Orthogonal Projections and Orthonormal Bases |
| 5.2 | Gram-Schmidt Process and QR Factorization | |||
| 9 | 3/20 | 3/22 | 5.3 | Orthogonal Transformations and Orthogonal Matrices |
| Review | ||||
| 10 | 3/27 | 3/29 | Exam II | |
| 6.1 | Introduction to Determinants | |||
| 11 | 4/3 | 4/5 | 6.2 | Properties of the Determinant |
| 7.1 | Dynamical Systems and Eigenvalues: An Introductory Example | |||
| 12 | 4/10 | 4/12 | 7.2 | Finding the Eigenvalues of a Matrix |
| 7.3 | Finding the Eigenvectors of a Matrix | |||
| 13 | 4/17 | 4/19 | 7.4 | Diagonalization |
| Review | ||||
| 14 | 4/24 | 4/26 | Exam III | |
| 4.1 | Introduction to Linear Spaces | |||
| 15 | 5/1 | 5/3 | 4.2 | Linear Transformations and Isomorphisms |
| 4.3 | The Matrix of a Linear Transformation | |||
| FINAL EXAM Date: TBA | Location and Time: TBA | |||