

Instructor Office Hours 
Mondays 1:302:30, Wednesdays 3:004:00, in Room 318 Eckhart Hall, and by appointment. 

Asaf Hadari 



College Fellow Office Hours 
Tuesdays, 46, in Room 17 Eckhart Hall, and by appointment. 

Class Meeting Times 
Tuesdays and Thursdays, 9:0010:20, Room 203 Eckhart Hall. 


Textbook 
Differential Topology, by Victor Guillemin and Alan Pollack 

Exams 
InClass Exam: Thursday, May 3rd Solutions 

Syllabus 

College Fellow Problem Session 
Wednesdays, 7:00 pm, in Room 312 Eckhart Hall. 

Topics Covered 
Manifolds, tangent spaces, derivative, inverse function theorem, submersions, immersions, transversality, Preimage Theorem, homotopy, stability, Sard's Theorem, Morse functions, Whitney Embedding Theorem, tangent bundle, manifolds with boundary, intersection theory mod 2, oriented manifolds, oriented intersection theory, degree of a map, Brouwer Degree Theorem, vector fields, vector fields on spheres, Euler characteristic, PoincareHopf Index Theorem, Gauss map, exterior algebra, differential forms, exterior derivative, Stoke's theorem, cohomology, Thom's cobordism ring, and genera. 
Homework: Homework is due at the beginning of class on Thursdays. All exercises are in the textbook.
Due 
Homework Assignment 
April 5th 
Read 1.11.4 
April 12th 
Read 1.51.6 
April 19th 
Read 1.71.8 
April 26th 
Read 2.12.4 
May 3rd 
Read 2.52.6 
May 10th 
Read 3.13.3,3.5 
May 17th 
Read 3.7,4.14.3 
May 24th 
Read 4.4 
Wednesday 
Read 4.5 
Practice Problems 
Remark: The code for this site goes back to Miklos Abert – who got it from someone else.