| 1 | Introduction, overview & mathematical basics | |
| 2 | Dimensional analysis & scalings | |
| 3 | Hamiltonian dynamics & Kepler's laws | |
| 4 | Random walkers | |
| 5 | Diffusion equation: Fourier method | |
| 6 | Diffusion equation: Green's function method | |
| 7 | Linear stability analysis & pattern formation | Problem Set 1 due |
| 8 | Calculus of variations | |
| 9 | Surface tension | |
| 10 | Elasticity | |
| 11 | Deformation of a thin beam | Problem Set 2 & Proposal due |
| 12 | Towards hydrodynamics | |
| 13 | Navier-Stokes equations I | |
| 14 | Hydrodynamics equations | |
| 15 | Stokes limit & Oseen tensor | Problem Set 3 due |
| 16 | Navier-Stokes equations II | |
| 17 | Singular perturbations | |
| 18 | Towards airplane flight | Problem Set 4 due |
| 19 | Euler equations: Basic solutions and forces | Mid-term posted |
| 20 | 2D hydrodynamics | Mid-term due |
| 21 | Conformal maps & airfoils | |
| 22 | Waves & solitons | |
| 23 | Final projects: Student presentations | |
| 24 | Final projects: Student presentations (cont.) | Project Report due |
| 25 | Bouncing droplets | |
| 26 | Topological defects & active matter | |
