| Week | Dates | Subjects | Sections in the book |
| 3 | Jan 16-17 | Complex numbers | "Complex Numbers" (pages ix-xviii) |
| 4 | Jan 23-24 | The complex exponential function. Second-order equations. Linear homogeneous equations with constant coefficients. | "Complex Functions" (pages xix-xxvii), and 4.1 and 4.3 in "Second-Order Equations" (pages xxxv-xlv and xlix-lv) |
| 5 | Jan 30-31 | Harmonic motion. Inhomogeneous equations, the method of undetermined coefficients, variation of parameters. Forced harmonic motion. | 4.4-4.7 in "Second-Order Equations" (pages lv-lxxxvi) |
| 6 | Feb 6-7 | Systems of linear equation. Row reduction and echelon forms. Vector equations. The Matrix equation Ax=b. | 1.1-1.4 in "Linear Algebras and Its Applications" (pages 1-42) |
| 7 | Feb 13-14 | Solution sets of linear systems. Applications of linear systems. Linear Independence. | 1.5-1.7 in "Linear Algebras and Its Applications" (pages 43-62) |
| 8 | Feb 20-21 | Linear transformations. Matrices of linear transformations. Linear models | 1.8-1.10 in "Linear Algebras and Its Applications" (pages 62-90) |
| 9 | Feb 27-28 | Matrix operations. Inverse matrices | 2.1-2.3 in "Linear Algebras and Its Applications" (pages 91-116) |
| 10 | March 6-7 | Determinants. Cramer's rule | 3.1-3.3 in "Linear Algebras and Its Applications" (pages 163-187) |
| 11 | March 13-14 | Vector spaces and subspaces. Null spaces, column spaces and linear transformations. Linear independents sets and bases. Coordinate systems. | 4.1-4.4 in "Linear Algebras and Its Applications" (pages 189-225) |
| 12 | March 20-21 | Dimensions and ranks. Applications to Markov chains. | 4.5-4.6 and 4.9 in "Linear Algebras and Its Applications" (pages 225-238 and 253-264) |
| 13 | March 27-28 | Spring Break | |
| 14 | April 3-4 | Eigenvectors and eigenvalues. The characteristic equation. Diagonalization. | 5.1-5.3 in "Linear Algebras and Its Applications" (pages 265-288) |
| 15 | April 10-11 | Complex eigenvalues. Systems of linear differential equations. | 5.5 and 5.7 in "Linear Algebras and Its Applications" (pages 295-301, and 311-319) and 4.2 in "Second-Order Equations" (pages xlv-xlix) |
| 16 | April 17-18 | Inner product, length and orthogonality. Orthogonal projections. The Gram-Schmidt process. | 6.1-6.4 in "Linear Algebras and Its Applications" (pages 329-360) |
| 17 | April 24-25 | Least-square problems. Applications to linear models. Diagonalization of symmetric matrices. Quadratic forms. | 6.5-6.6 and 7.1-7.2 in "Linear Algebras and Its Applications" (pages 360-375 and 393-408) |