| Date | Text Section |
Topic | |
|---|---|---|---|
| Sept. | 9 | 1.1 | Systems of Linear Equations |
| 11 | 1.2 | Row Reduction and Echelon Forms | |
| 14 | 1.3 | Vector Equations | |
| 16 | 1.4 | Matrix Equations (Ax=b) | |
| 18 | 1.5 | Solution Sets of Linear Systems | |
| 21 | 1.6 | Networks (Application) | |
| 23 | 1.7 | Linear Independence | |
| 25 | 1.8 | Linear Transformations | |
| 28 | 1.9 | Matrix of a Linear Transformation | |
| 30 | 2.1 | Matrix Operations | |
| Oct. | 2 | 2.2 | Inverse of a Matrix |
| 5 | 2.3 | Invertible Matrices | |
| 7 | 3.1 | Introduction to Determinants | |
| 9 | First In-Class Examination | ||
| 12 | 3.2 | Properties of Determinants | |
| 14 | 3.3 | Cramer's Rule, Volume | |
| 16 | 4.1 | Vector Spaces and Subspaces | |
| 19 | 4.2 | Null and Column Spaces, Linear Transformations | |
| 21 | 4.3 | Linearly Independent Sets; Bases | |
| 23 | 4.4 | Coordinates | |
| 26 | FALL BREAK | ||
| 28 | 4.5 | Dimension of a Vector Space | |
| 30 | 4.6 | Rank | |
| Nov. | 2 | 5.1 | Eigenvalues and Eigenvectors |
| 4 | 5.2 | The Characteristic Equation | |
| 6 | Second In-Class Examination | ||
| 9 | 5.3 | Diagonalization | |
| 11 | 5.4 | Eigenvectors and Linear Transformations | |
| 13 | 5.5 | Complex Eigenvalues and Eigenvectors | |
| 16 | 5.6 | Discrete Dynamical Systems | |
| 18 | 6.1 | Inner Product, Length, Orthogonality | |
| 20 | 6.2 | Orthogonal Sets | |
| 23 | 6.3 | Orthogonal Projections | |
| 25 | THANKSGIVING BREAK | ||
| 27 | THANKSGIVING BREAK | ||
| 30 | 6.4 | Gram-Schmidt Orthogonalization | |
| Dec. | 2 | 6.5 | Least-Squares Problems |
| 4 | 6.7 | Inner Product Spaces | |
| 7 | 7.1 | Diagonalization of Symmetric Matrices | |
| 9 | Third In-Class Examination | ||
| 11 | 7.2 | Quadratic Forms | |
| 14 | Catch-up, Instructor's Choice | ||
| 19 | FINAL EXAM (Saturday, 9:00am to 11:00am) |