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


Syllabus

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.

Evaluation:
Midterm Exam 30 marks
Assignment 20 marks
Final Exam 50 marks
Total 100 marks


Top of the page

Past Exams
Midterm
15.pdf 16.pdf 17.pdf 18.pdf
Solutions
15.pdf 16.pdf
Semestral
15.pdf 16.pdf 17.pdf
Supplementary and Back Paper
16.pdf

Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]