Course Archives    Theoretical Statistics and Mathematics Unit
Course: Introduction to Differential Topology
Instructor: Suresh Nayak
Room: G23
Level: Undergraduate
Time: Currently offered
Past Exams


Manifolds. Inverse function theorem and immersions, submersions, transversality, homotopy and stability, Sards theorem and Morse functions, Embedding manifolds in Euclidean space, manifolds with boundary , intersection theory mod 2, winding numbers and Jordan- Brouwer separation theorem, Borsuk- Ulam fixed point theorem.

Reference Texts:

1. V. Guillemin and Pollack: Differential Topology (Chapters I, II and Appendix 1, 2).
2. J. Milnor: Topology from a differential viewpoint.

Midterm Exam 50 marks
Assignment --- marks
Final Exam 50 marks
Total 100 marks

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Past Exams
15.pdf 16.pdf 17.pdf 18.pdf 22.pdf 23.pdf 24.pdf
15.pdf 16.pdf
15.pdf 16.pdf 17.pdf 18.pdf 22.pdf 23.pdf
Supplementary and Back Paper
16.pdf 22.pdf 22.pdf 23.pdf

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