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Last updated:

December 27, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

In this course, students take turns in giving lectures.

For the most part, the lectures are based on Robert Osserman’s classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.

Course Curriculum

  • Introduction Unlimited
  • A Review on Differentiation Unlimited
  • Inverse Function Theorem Unlimited
  • Implicit Function Theorem Unlimited
  • First Fundamental Form Unlimited
  • Curves Unlimited
  • Gauss Map I: Background and Definition Unlimited
  • Gauss Map II: Geometric Interpretation Unlimited
  • Gauss Map III: Local Coordinates Unlimited
  • Introduction to Minimal Surfaces I Unlimited
  • Introduction to Minimal Surfaces II Unlimited
  • Review on Complex Analysis I Unlimited
  • Review on Complex Analysis II Unlimited
  • Isothermal Parameters Unlimited
  • Bernstein’s Theorem Unlimited
  • Manifolds and Geodesics I Unlimited
  • Manifolds and Geodesics II Unlimited
  • Complete Minimal Surfaces I Unlimited
  • Complete Minimal Surfaces II Unlimited
  • Weierstrass-Enneper Representations Unlimited
  • Gauss Maps and Minimal Surfaces Unlimited

About the instructor

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Instructor Rating

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Reviews

1520

Courses

1915

Students

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Massachusetts Institute of Technology