Professor's instructions on preparing lectures for class (PDF)
The lecture notes were prepared by the Instructor Dr. Emma Carberry and the students: Kai Fung, David Glasser, Michael Nagle, Nizam Ordulu. The full set of lecture notes are available as a single file (PDF) or mapped to the lectures in the table below.
Lecture Notes
| 1 |
Introduction (PDF) |
| 2 |
A Review on Differentiation (PDF) |
| 3 |
Inverse Function Theorem (PDF) |
| 4 |
Implicit Function Theorem (PDF) |
| 5 |
First Fundamental Form (PDF) |
| 6 |
Curves (PDF) |
| 7 |
Gauss Map I: Background and Definition (PDF) |
| 8 |
Gauss Map II: Geometric Interpretation (PDF) |
| 9 |
Gauss Map III: Local Coordinates (PDF) |
| 10 |
Introduction to Minimal Surfaces I (PDF) |
| 11 |
Introduction to Minimal Surfaces II (PDF) |
| 12 |
Review on Complex Analysis I (PDF) |
| 13 |
Review on Complex Analysis II (PDF) |
| 14 |
Isothermal Parameters (PDF) |
| 15 |
Bernstein's Theorem (PDF) |
| 16 |
Manifolds and Geodesics I (PDF) |
| 17 |
Manifolds and Geodesics II (PDF)
|
| 18 |
Complete Minimal Surfaces I (PDF)
|
| 19 |
Complete Minimal Surfaces II (PDF)
|
| 20 |
Weierstrass-Enneper Representations (PDF) |
| 21 |
Gauss Maps and Minimal Surfaces (PDF) |