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Seminar in Geometry >> Content Detail



Lecture Notes



Lecture Notes

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.

lec #TOPICS
1Introduction (PDF)
2A Review on Differentiation (PDF)
3Inverse Function Theorem (PDF)
4Implicit Function Theorem (PDF)
5First Fundamental Form (PDF)
6Curves (PDF)
7Gauss Map I: Background and Definition (PDF)
8Gauss Map II: Geometric Interpretation (PDF)
9Gauss Map III: Local Coordinates (PDF)
10Introduction to Minimal Surfaces I (PDF)
11Introduction to Minimal Surfaces II (PDF)
12Review on Complex Analysis I (PDF)
13Review on Complex Analysis II (PDF)
14Isothermal Parameters (PDF)
15Bernstein's Theorem (PDF)
16Manifolds and Geodesics I (PDF)
17

Manifolds and Geodesics II (PDF)

18

Complete Minimal Surfaces I (PDF)

19

Complete Minimal Surfaces II (PDF)

20Weierstrass-Enneper Representations (PDF)
21Gauss Maps and Minimal Surfaces (PDF)

 


 








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