| Week | Date | Topic | Chapter / Section |
| 1 | 17-21 Sept | Introduction to Diff. Eq., First order Diff. Equations | 1.1-1.3 |
| 2 | 24-28 Sept | First order O.D.E., Integrating Factors | 1.4, 1.5 |
| 3 | 1-5 Oct | Homogenous D.E., Mathematical Models | 1.6 |
| 4 | 8-10 Oct (11-12 Oct: Holiday) | System of Linear eq. Matrices | 3.1, 3.2 |
| 5 | 15-19 Oct | Echelon Matrices, Matrix operations | 3.4, 3.5 |
| 6 | 22-26 Oct (27 Oct Midterm 1) | Inverse of matrices, Determinants | 3.5, 3.6 |
| 7 | 30,31 Oct-1,2 Nov (29 Oct: Holiday) | Vectors and vector spaces, and subspaces | 4.1, 4,2 |
| 8 | 5-9 Nov | Linear comb., L. Independence | 4.3 |
| 9 | 12-16 Nov | Bases and Dimension for vector spaces | 4.4, 4.5 |
| 10 | 19-23 Nov (24 Nov Midterm 2) | Orthogonal vectors in Rn | 4.6 |
| 11 | 26-30 Nov | General vector spaces | 4.7 |
| 12 | 3-7 Dec | Eigenvalues and Eigenvectors | 6.1 |
| 13 | 10-14 Dec | Diagoanlization of matrices, Power of matrices | 6.2, 6.3 |
| 14 | 17-18 Dec (19-21 Dec: Holiday) | Second and higher order Linear differential equations | 5.1-5.3 |
| 15 | 24-28 Dec | Method of undetermined coefficients, Variation of Parameters | 5.5 |