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 |
