| 1 | M Aug. 24 | 1.2. Geometry of Linear Equations |
| W Aug. 26 | 1.3. An Example of Gaussian Elimination |
| F Aug. 28 | 1.4. Matrix Notation and Matrix Multiplication |
| 2 | M Aug. 31 | 1.5. Triangular Factors and Row Exchanges |
| W Sep. 02 | 1.6. Inverses and Transposes |
| F Sep. 04 | 2.1. Vector Spaces and Subspaces |
| 3 | M Sep. 07 | No Class (Labor Day) |
| W Sep. 09 | 2.2. Solving \(Ax = 0\) and \(Ax = b\) |
| F Sep. 11 | 2.3. Linear Independence, Basis, and Dimension |
| 4 | M Sep. 14 | 2.4. The Four Fundamental Subspaces (Part 1) |
| W Sep. 16 | 2.4. The Four Fundamental Subspaces (Part 2) |
| F Sep. 18 | 2.6. Linear Transformations (Part 1) |
| 5 | M Sep. 21 | 2.6. Linear Transformations (Part 2) |
| W Sep. 23 | 3.1. Orthogonal Vectors and Subspaces |
| F Sep. 25 | 3.2. Cosines and Projections onto Lines |
| 6 | M Sep. 28 | 3.3. Projections and Least Squares (Part 1) |
| W Sep. 30 | 3.3. Projections and Least Squares (Part 2) |
| F Oct. 02 | 3.4. Orthogonal Bases and Gram-Schmidt (Part 1) |
| 7 | M Oct. 05 | Exam 1 Review (In Class) |
| W Oct. 07 | Midterm Exam 1 (In Class, 2:30 PM - 3:20 PM) |
| F Oct. 09 | 3.4. Orthogonal Bases and Gram-Schmidt (Part 2) |
| 8 | M Oct. 12 | No Class (Fall Break) |
| W Oct. 14 | 3.5. The Fast Fourier Transform (Part 1) |
| F Oct. 16 | 3.5. The Fast Fourier Transform (Part 2) |
| 9 | M Oct. 19 | 4.2. Formulas for Determinants |
| W Oct. 21 | 4.3. Applications of Determinants |
| F Oct. 23 | 4.4. Cramer's Rule, Inverses, and Volumes |
| 10 | M Oct. 26 | 5.2. Diagonalizing a Matrix |
| W Oct. 28 | 5.3. Difference Equations and Powers \(A^k\) (Part 1) |
| F Oct. 30 | 5.3. Difference Equations and Powers \(A^k\) (Part 2) |
| 11 | M Nov. 02 | 5.4. Differential Equations and \(e^{At}\) (Part 1) |
| W Nov. 04 | 5.4. Differential Equations and \(e^{At}\) (Part 2) |
| F Nov. 06 | 5.5. Complex Matrices (Part 1) |
| 12 | M Nov. 09 | 5.5. Complex Matrices (Part 2) |
| W Nov. 11 | 5.6. Similarity Transformations (Part 1) |
| F Nov. 13 | 5.6. Similarity Transformations (Part 2) |
| 13 | M Nov. 16 | Exam 2 Review (In Class) |
| W Nov. 18 | Midterm Exam 2 (In Class, 2:30 PM - 3:20 PM) |
| F Nov. 20 | 6.2. Tests for Positive Definiteness |
| 14 | M Nov. 23 | No Class (Thanksgiving Break) |
| W Nov. 25 | No Class (Thanksgiving Break) |
| F Nov. 27 | No Class (Thanksgiving Break) |
| 15 | M Nov. 30 | 6.3. Singular Value Decomposition (SVD) |
| W Dec. 02 | 6.4. Minimum Principles |
| F Dec. 04 | 6.5. The Finite Element Method |
| 16 | M Dec. 07 | Course Review |
| W Dec. 09 | Course Review |
| F Dec. 11 | Course Review |
| 17 | Dec. 14 - 19 | Final Exam Week |