MCC: Materials for MSc Mathematics

Here’s a collection of materials for MSc Mathematics students in Madras Christian College.

Materials for CSIR-NET and GATE

YouTube Lectures

Subjects and Materials on Blog

Semester 1

Algebra 1

• Related articles on this website

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Analysis 1

• Quizzes and related content on this website

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Principles of Mathematical Analysis by Rudin

Real Analysis by Kumaresan

Introduction to Real Analysis by Bartle and Sherbert (4e)

Topology of Metric Spaces

Mechanics

• Materials on Calculus of Variations (Unit 3, derivation of Euler Equations and Following Problems)
• A post on history and a few prerequisites for Problems using Euler Lagrange Equations. (Unit 3)
• Visualizations and History of Brachistochrone Problem (Unit 3)

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Semester 2

Algebra 1

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Analysis 2

• Quizzes and related content on this website

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Real Analysis by Kumaresan

Introduction to Real Analysis by Bartle and Sherbert (4e)

Principles of Mathematical Analysis by Rudin

Java Programming

• A related article on Unit 2

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3rd Edition: Recommended

Latest Edition

Free Coursework on Sololearn

Elective: Graph Algorithms

• Introduction to BFS
• Introduction to Dijkstra’s Algorithm
• Other Resources
• More on introductiontoalgorithms.wordpress.com

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Semester 3

Topology

• Quizzes and Extra Information on Topology
• (More content will be added soon)

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Topology of Metric Spaces

Introduction to Topology and Modern Analysis by Simmons

Real Analysis by Kumaresan

Elective: Integral Equations and Calculus of Variations

• My Lecture Notes (2018-2019)
• Self Contained Coursework to Learn/Revise Integral Equations (Unit 1-2)
• Materials on Calculus of Variations (Unit 4-5)
• A post on history and a few prerequisites for Calculus of Variations. (Unit 4)
• Visualizing Concepts in Calculus of Variations (Unit 4)

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PDF for Third Edition – Some topics in Second Edition are missing.

E-book on Archives.com

Semester 4