Calendar

LEC # TOPICS KEY DATES
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  

Course Info

Learning Resource Types

assignment Problem Sets
notes Lecture Notes
group_work Projects