NOTE (December 6): The following topics will not be on the final exam: group actions, Lie groups, Riemannian metrics, Hodge star operator.

NOTE (December 1): New section of notes added on Brouwer fixed point theorem.

NOTE (November 28): Several corrections have been made to the proof of Theorem 16.9 in the course notes on ``Degree", in Step 3 and Step 5. Two more sections have been added (Section 16.3 and 16.4), on material that will appear in the lecture on Mon November 29.

NOTE (November 27): Assignment 3 due date is Mon December 6. The last class is 11:00 Weds December 8. Any students who submit Assignment 3 by Friday December 3 can collect their graded assignments during the last class. Other students can collect the graded assignments from Diana Leonardo in the math office (BA 6290) any time after Friday Dec 10.

NOTE: Assignment 3 has been changed, an alternate question (Q. 13) has been added which may be substituted for one of Q. 10, 11 or 12.

Grader: David Li-Bland, dbland@math.toronto.edu

Some changes to course notes Nov 3 (added material presented in class on transversality and partitions of unity)

NOTE: ASSIGNMENT 2 SLIGHTLY MODIFIED November 3 (sign change in definition of alpha in Question 4, wording change and clarification in Questions 5)

Assignment 3 has been changed (3 new questions added, questions 1-3; two questions from Guillemin-Pollack p. 193-4 removed)

Nov 16: Notes added re. lecture Nov 12. For short exact sequence gives long exact sequence, see Def. 9.1.11 and Thm. 9.1.12 in 'Homological Algebra' in course notes posted below. A new section 'Mayer-Vietoris Sequence' has been added.

Nov 16: Notes added re. lecture Nov 12. For short exact sequence gives long exact sequence, see Def. 9.1.11 and Thm. 9.1.12 in 'Homological Algebra' in course notes posted below. A new section 'Mayer-Vietoris Sequence' has been added.

Nov 16: Notes added re. lecture Nov 12. For short exact sequence gives long exact sequence, see Def. 9.1.11 and Thm. 9.1.12 in 'Homological Algebra' in course notes posted below. A new section 'Mayer-Vietoris Sequence' has been added.

Nov. 17: One paragraph altered in Mayer-Vietoris sequence section

Nov. 21: One new section added ('Lie groups')