Course Archives Theoretical Statistics and Mathematics Unit
Course: Differential Topology
Instructor: Aniruddha C Naolekar
Room: G25
Time: Currently offered
Level: Postgraduate
Syllabus
Past Exams

Syllabus: 1. Manifolds in RN, submanifolds, smooth maps of manifolds, derivatives and tangents, Inverse function theorem and immersions, submersions, Transversality, Homotopy and stability, Sards theorem and Morse functions, embedding manifolds in Euclidean space.

2. Differential Forms and Integration of forms, Stokes Theorem, Definition of de RhamCohomology.

Suggested Texts :

1. V. Guillemin and A. Pollack, Differential Topology, Prentice-Hall (1974).

2. J.W. Milnor, Topology from the Differentiable Viewpoint, Princeton Univ. Press (1997).

3. J.W. Milnor, Topology from the Differentiable Viewpoint, Univ Press of Virginia (1965).

Evaluation:
Midterm Exam 40 marks
Assignment -- marks
Final Exam 60 marks
Total 100 marks

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Past Exams
Midterm
11.pdf 13.pdf 15.pdf 17.pdf 19.pdf
Solution
15.pdf
Semestral
09.pdf 13.pdf 15.pdf 17.pdf


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