MA3402 Analysis on Manifolds

Messages

  • 2014-07-08 The first lecture will take place on Tuesday, August 19 at 8:15 - 10:00 in room 734.
  • 2014-09-08 Exercise 1:Ch 2 :2.4-2.7, 2.9, 2.12
  • 2014-09-29 Exercise 2:Ch 3.1-3.3, 4.3
  • 2014-11-03 Exercise 3: 7.2, 9.12,9.14, 10.6,10.7,10.8,10.11,10.12.
  • 2014-11-05 No lectures on November 11 and 12.I will discuss the exercises given in ch 10 and 7.2 on November 18, and give a survey and test questions on November 19, when we may also arrange meeting times for the final exam.

Lecturer

Lectures

  • Tuesday, 8:15 - 10:00, F4
  • Wednesday, 10:15 - 12:00, F3

Preliminary curriculum

  • I. Madsen and J. Tornehave: From Calculus to Cohomology De Rham Cohomology and Characteristic Classes, Cambridge University Press, 1997. Chapters 1 through 10 + exercises

Final Exam

  • Oral exam. December 1-2.

Supporting literature

  • J.R.Munkres:Analysis on manifolds,Westview Press,1991
  • R.Bott and L.W.Tu:Differential forms in algebraic topology,GTM, Springer,1982.
  • R.Sjamaar:Manifolds and differtential forms,Cornell University,www.math.cornell.edu/~sjamaar
2014-11-05, Nils A. Baas