| Lectures | Chapters | Topics and Notes |
| Jan 9, 11, 12, 13 | 1.1, 1.2, 1.3, 2.1 | Introduction, first order linear equations |
| Jan 18, 19, 20 | 2.2, 2.3 | seperable equations, modeling |
| Jan 23, 25, 26, 27 | 2.4, 2.5, 2.6 | modelling, difference, autonomous equations |
| Jan 30, Feb 1, 2, 3 | 3.1, 3.2 | Homogeneous Equations, Fundamental Solutions, Wronskian |
| Feb 6, 8, 9, 10 | 3.3, 3.4, 3.5 | Complex Roots, repeated roots, non-homogeneous equations |
| Feb 13, 15, 16, 17 | 3.5, Review, 3.7 | non-homogeneous equations, Exam I(R), vibrations |
| Feb 20, 22, 23, 24 | 3.7, 3.8, 4.1, 4.2 | forced vibrations, higher order linear equations |
| Feb 27, 29, Mar 1, 2 | 6.1, 6.2, 6.3 | Laplace transform, initial value problems, step functions |
| Mar 5-9 | spring break | no class |
| Mar 12, 14, 15, 16 | 6.4, 6.5, 7.1 | Discontinuous forcing term, impulse functions, systems |
| Mar 19, 21, 22, 23 | 7.2, 7.3, 7.5, 7.6, 7.8 | 2x2 matrices, linear systems of differential equations |
| Mar 26, 28, 29, 30 | 9.1, 9.2, 9.3, 9.5 | nonlinear equations and stability |
| Apr 2, 4, 5, 6 | Review, 10.1, 10.2 | Review(M), Exam II(Tu), two-point boundary value problems, Fourier series |
| Apr 9, 11, 12, 13 | 10.3, 10.4, 10.5 | convergence, even/odd functions, heat equations |
| April 16, 18, 19, 20 | 10.6, 10.7 | Heat conduct problems, wave equations |
| April 23, 25, 26, 27 | 10.8, review | Laplace equatios, Final review(RF) |