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 |

## Calendar

## Course Info

##### Instructor

##### Departments

##### As Taught In

Spring
2015

##### Level

##### Learning Resource Types

*assignment*Problem Sets

*notes*Lecture Notes

*group_work*Projects