18.952 - Theory of Differential Forms (Spring 2011)


PROBLEM SETS

There will be Problem Sets to be handed in. They will be posted here.

Problem Set 1, due Monday February 14: section 1.2, exercises 6, 7, 9, 10 and 11; section 1.4, exercises 6 and 7.

Problem Set 2, due Tuesday February 22: section 1.5, exercises 1, 8 and 10; section 1.6, exercise 4, section 1.7, exercises 4, 5 and 6.

Problem Set 3, due Wednesday, March 2: PDF

Problem Set 4, due Friday March 11: The Lie bracket operation - section 2.1, exercises 5 and 6 and section 2.2, exercises 6,7 and 8. The Poincare lemma- section 2.4, exercises 5 and 6.

Problem Set 5, due Friday March 18: Problem 1 - section 3.4, exercises 2 and 3. Problem 2 - section 3.4, exercises 4 and 10.

Problem Set 6, due Wednesday, April 6: Chapter 4, section 1.10, exercises 4, 5 and 7.

Problem Set 7, due Friday, April 15: Chapter 4, section 4.5, exercises 1 through 8.

Problem Set 8, due Wednesday, April 27: Chapter 4, section 4.8 (Applications of degree theory), exercises 1 through 9.

Problem Set 9, due Friday, May 6: PDF