Teachers' Training Programs

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Lecture I: Introduction to the classical Isoperimetric Problem, The Isoperimetric Inequality, Formulation, Idea of the proof.

Lecture II: Recap of the Fourier Analysis to be used in the proof, Complete Proof of the Isoperimetric Inequality, More About the Isoperimetric Problems.

(a) on May 19, 2017 as part of a three day meet up of Ganit Sarthi Fellows organised by an NGO called Lend- A -Hand India held during May 18- 20, 2017.

(b) on April 10, 2017 as part of the Simple Mathematics Learning Workshop: Special Program for Mathematics Teachers of Pune District organised by an NGO called Lend-A- Hand India at the New English School, Sadashiv Peth, Pune.

Topics covered: Definition of smooth manifolds as submanifolds of R^n, abstract definition by smoothness of transition functions, ‘medium form’ of the Whitney embedding theorem for compact manifolds, embeddings of Projective plane and Klein bottle in R^4.