Course Schedule


Week 1 (Aug. 26 - Sep. 1)


Lecture notes

1. Review: Homotopies
2. Review: CW Complexes
3. Higher Homotopy Groups


Week 2 (Sep. 2 - Sep. 8)


Lecture notes

4. Dependence on The Basepoint
5. Some Computations


Homework 1

Homework 1 problems.


Week 3 (Sep. 9 - Sep. 15)


Lecture notes

6. Relative Homotopy Groups


Week 4 (Sep. 16 - Sep. 22)


Lecture notes

7. Fibrations


Week 5 (Sep. 23 - Sep. 29)


Lecture notes

8. From Maps to Fibrations


Homework 2

Homework 2 problems.


Week 6 (Sep. 30 - Oct. 6)


Lecture notes

9. Exact Puppe Sequence


Week 7 (Oct. 7 - Oct. 13)


Lecture notes

10. Cofibrations



Week 8 (Oct. 14 - Oct. 20)


Lecture notes

11. Excision


Homework 3

Homework 3 problems.


Week 9 (Oct. 21 - Oct. 27)


Lecture notes

12. All Groups are Homotopy Groups


Week 10 (Oct. 28 - Nov. 3)


Lecture notes

13. Proof of the Excision Theorem
14. Weak Equivalences
15. Weak Homotopy Type


Week 11 (Nov. 4 - Nov. 10)


Lecture notes

15. Weak Homotopy Type
16. Weak Equivalences and Homology


Week 12 (Nov. 11 - Nov. 17)


Lecture notes

17. Hurewicz Theorem
18. Spectral Sequences


Week 13 (Nov. 18 - Nov. 24)


Lecture notes

18. Spectral Sequences
19. Spectral Sequence From a Filtration
20. Serre Spectral Sequence


Week 14 (Nov. 25 - Dec. 1)


Lecture notes

20. Serre Spectral Sequence
21. Serre Classes


Week 15 (Dec. 2 - Dec. 7)


Lecture notes

21. Serre Classes
22. Cohomology via Homotopy


Homework 4

Homework 4 problems.