Ma 151b:  Algebraic and Differential Topology (Winter 2016-17)

ANNOUNCEMENTS


COURSE DESCRIPTION

This is the second part of the Algebraic Topology sequence. We will go over cohomology theory, de Rahm theorem, cup/cap products, orientations and duality, homotopy theory, and bundle theory (if time allows).


PREREQUISITES

Ma 109a


SCHEDULE

MWF 10:00 - 10:55, 257 Sloan.


INSTRUCTORS

Faramarz Vafaee
HARRY BATEMAN INSTRUCTOR IN MATHEMATICS
Sloan 272
626-395-4345


TA's

Gahye Jeong


OFFICE HOURS

Professor's: Wednesdays 4:00 - 5:00 pm (or by appointment)

TA's: Thursdays 4:00 - 5:00 pm (or by appointment)


POLICIES

There will be biweekly homework assignments due Friday at 2:00 pm. Grade policies are as follows: 50% homework, 20% midterm and 30% final exam.


TOPICS COVERED

Sections 3.1, 3.2, 3.3, 3.A, 4.1, de Rahm Theorem, The Thom Isomorphism theorem


TEXTBOOKS

Algebraic Topology (by Allen Hatcher)


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
 January 20 (2:00 pm)  Section 3.1: 3, 6, 10, 13 Section 3.2: 1, 3, 9  
 January 27 (2:00 pm)  Homework Set 2  
 February 10 (2:00 pm)  Midterm Exam  
 March 3 (2:00 pm)  Section 3.2: 18 Section 3.3: 3, 6, 7, 12, 14, 32, 33  
 March 10 (2:00 pm)  Section 4.1: 4, 10, 15, 17, 18, 20 Section 4.2: 1  
 March 17 (2:00 pm)  Final Exam  
     
     

EXAMS

 


READING