Ma 109c:  Introduction to Geometry and Topology (Spring 2016-17)

ANNOUNCEMENTS

Registration for Spring term opens Thursday, February 23, 2016.

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COURSE DESCRIPTION

Ma109c is an introduction to differential topology, which tells us about topology of manifolds using their differentiable structures. Most of the material in the textbook will be covered, and topics shall include Sard's theorem, Intersection theory, Poincare-Hopf theory, and differential forms.


PREREQUISITES


SCHEDULE

MWF 10:00 - 10:55, 159 Sloan.


INSTRUCTORS

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


TA's

Todd Norton


OFFICE HOURS

The professor's: Wednesdays 4-5pm or by appointment at 272 Sloan

The TA's: Thursdays 5-6pm at 307 Kellog


POLICIES

Grades

50% Homework, 20% Midterm, 30% Final

Homework Policy

Weekly homework assignments. Homework is always due Friday at 2:00 pm


TOPICS COVERED

Sections: 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.8, 2.1, 2.2, 2.3, 2.4, 2.6, 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.2, 4.3, 4.4, 4.5 (ongoing)


TEXTBOOKS

Guillemin and Pollack, Differential Topology, ISBN: 978-0821851937.


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
  April 7 (2:00 pm)  Section 1.5: 5, 10  
 April 14 (2:00 pm)  Section 1.7: 13, 15 Section 1.8: 10, 14  
 April 21 (2:00 pm)  Section 1.8: 7 Section 2.1: 5,6 Section 2.2: 6  
 April 28 (2:00 pm)  Section 2.3: 6, 16  
 May 5 (2:00 pm)  Section 2.4: 11, 14, 15 Section 2.6: 2  
 May 12 (2:00 pm)  Midterm Exam - Section 1.7: 6 Section 2.3: 12 Section 2.4: 8, 10, 13 Section 2.6: 3  
 May 19 (2:00 pm)  Section 3.3: 5, 9  
 May 26 (2:00 pm)  Section 3.2: 11, 13, 17, 19  
 June 2 (2:00 pm)  Section 3.3: 10 Section 3.4: 8, 10, 11  
 June 9 (2:00 pm)  Section 3.5: 3, 14, 18 Section 4.2: 9  

EXAMS

 Final Exam


READING