| Date | Topic | Homework/Handouts |
| R13 Jan | Introduction; 1st order ODEs | Homework #1 Syllabus, Summary of Techniques |
| T18 Jan | More 1st order ODEs | |
| R20 Jan | Introduction to Modeling | Homework #2 Modeling Terms |
| T25 Jan | Modeling with systems; Non-analytic solution of ODEs | Car Response Model |
| R27 Jan | More solution methods; MATLAB | Car Response Model Guide |
| T 1 Feb | Fundamental Theorems; Phase plane methods | Numerical Methods Guide |
| R 3 Feb | Spring Model; Higher Order ODEs | Homework #3 |
| T 8 Feb | Solving 2nd Order Linear ODEs | |
| R10 Feb | Nonhomogeneous 2nd Order ODEs | |
| T15 Feb | Nonhomogeneous 2nd Order ODEs | |
| R17 Feb | Nonhomogeneous 2nd Order ODEs | |
| T22 Feb | Qualitative Analysis for 2nd Order ODEs & Systems | Homework #4 |
| R24 Feb | Nonlinear Pendulum: derivation & analysis | |
| T 1 Mar | Beginning PDEs: transition from ODEs to PDEs | |
| R 3 Mar | 1st Order Linear PDEs | Homework #5 |
| T 8 Mar | Solving 1st order quasi-linear PDES/Initial Curve Problem | |
| R10 Mar | Application to Traffic Flow | |
| T15 Mar | Traffic Flow; Flow & Diffusion in a Tube | |
| R17 Mar | Other FDIT based models | Homework #6 |
| R22 Mar | Spring Break | |
| R24 Mar | Spring Break | |
| T29 Mar | Classifying & solving higher order quasi-linear PDEs | |
| R31 Mar | Canonical Forms for 2nd Order Linear PDEs | Project: Short Description Due |
| T 5 Apr | Separation of Variables | |
| R 7 Apr | Separation of Variables | |
| T12 Apr | Project: Short Presentations I Examples from Separation of Variables |
Homework #7 |
| R14 Apr | Project: Short Presentations II | |
| T19 Apr | Project: Report Draft Due | |
| R21 Apr | ||
| T26 Apr | ||
| T 3 May | Project: Final Presentations I, 10:15-12:15 Project: Final Written Report Due by Noon |