| Week | Main Topic | Instructor |
| 1 | introduction, basic examples, polynomial equations | Gobbert |
| 2 | dimensional analysis and scaling (Chapter 6) | Seidman |
| 3 | regular perturbations for boundary value problems (Chapter 7) | Gobbert |
| 4 | singular perturbations for boundary value problems (Chapter 9) | Gobbert |
| 5 | more examples of singular perturbations (Chapter 11) | Seidman |
| 6 | asymptotic analysis for integrals, Stirling's formula | Seidman |
| 7 | review of all techniques covered so far, matching techniques | Gobbert/Seidman |
| 8 | asymptotic problems arising from fluid mechanics | Kuang |
| 9 | asymptotic problems arising from fluid mechanics | Kuang |
| 10 | asymptotic problems arising from fluid mechanics | Kuang |
| 11 | asymptotic problems arising from fluid mechanics | Kuang |
| 12 | asymptotic analysis in chemical reations and diffusion | Seidman |
| 13 | a homogenization technique for the Boltzmann equation | Gobbert |
| 14 | review and catch-up | Gobbert/Kuang/Seidman |