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After attaining knowledge of different subjects of Geometry, you need to show them by giving a proper and effective lecture for which this [course_title] is arranged. You need to make your lectures from different reference books like Robert Osserman’s classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, Lars Ahlfors’ Complex Analysis etc. to your competency through this [course_title].


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Diploma in Geometry
Introduction 00:30:00
A Review on Differentiation 00:30:00
Inverse Function Theorem 00:45:00
Implicit Function Theorem 00:30:00
First Fundamental Form 00:45:00
Curves 00:30:00
Gauss Map I: Background and Definition 00:45:00
Gauss Map II: Geometric Interpretation 00:30:00
Gauss Map III: Local Coordinates 00:45:00
Introduction to Minimal Surfaces I 00:30:00
Review on Complex Analysis I 00:30:00
Isothermal Parameters 00:45:00
Bernstein’s Theorem 00:30:00
Manifolds and Geodesics I 00:45:00
Complete Minimal Surfaces I 00:30:00
Weierstrass-Enneper Representations 00:45:00
Gauss Maps and Minimal Surfaces 00:30:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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