In this course, the instructor and the students take turns in giving lectures. The topics listed in the table are intended only to point students to the relevant material.

lec # | TOPICS | lecturerS | key dates |
---|---|---|---|

1 | Introduction | Emma Carberry | |

2 | A Review on Differentiation | Student Presentation | |

3 | Inverse Function Theorem | Student Presentation | |

4 | Implicit Function Theorem | Student Presentation | Homework 1 due |

5 | First Fundamental Form | Student Presentation | |

6 | Curves | Student Presentation | Homework 2 due |

7 | Gauss Map I: Background and Definition | Student Presentation | |

8 | Gauss Map II: Geometric Interpretation | Emma Carberry | Homework 3 due |

9 | Gauss Map III: Local Coordinates | Student Presentation | |

10 | Introduction to Minimal Surfaces I | Student Presentation | Homework 4 due |

11 | Introduction to Minimal Surfaces II | Student Presentation | |

12 | Review on Complex Analysis I | Student Presentation | |

13 | Review on Complex Analysis II | Emma Carberry | |

14 | Isothermal Parameters and Harmonic Functions | Student Presentation | Homework 5 due |

15 | Bernstein’s Theorem | Student Presentation | |

16 | Manifolds and Geodesics I | Emma Carberry | Homework 6 due |

17 | Manifolds and Geodesics II | Emma Carberry | |

18 | Complete Minimal Surfaces I | Student Presentation | |

19 | Complete Minimal Surfaces II | Student Presentation | |

20 | Weierstrass-Enneper Representations | Student Presentation | |

21 | Gauss Maps and Minimal Surfaces | Student Presentation/Emma Carberry | |

22 | Project Talk | Student Presentation | |

23 | Project Talk | Student Presentation | |

24 | Project Talk | Student Presentation | |

25 | Project Talk | Student Presentation | |

26 | Project Talk | Student Presentation |