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.
| 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 |
|
