Introduction to Geometry and Topology

Course Description and Grading Breakdown
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 will include Sard's theorem, Intersection theory, Poincare-Hopf theory, and differential forms.

50% Homework, 20% Midterm, 30% Final

Course Meeting Time and Location
Monday, Wednesday and Friday
10:00 - 10:55 am
B111 Downs Laboratory of Physics (DWN)

Course Instructor Contact Information and Office Hours
210-3 Math Building (Building 15)

Office Hour: Thursdays noon to 1 pm or by appointment

TA Contact Information and Office Hours
Millikan 9th floor

Office Hour: Sundays 11 am to noon or by appointment

Textbook
Guillemin and Pollack, Differential Topology, ISBN: 978-0821851937.
Find the errata here.

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, 4.7, 4.8
Course Policies
Weekly homework assignments. Homework is always due Monday at 3:30 pm.

Assignments
 Date PostedAssignment Due Date  
 4/2 Section 1.5: 5, 10 April 9
 4/9 Section 1.7: 13, 15 Section 1.8: 10, 14 April 16 
 4/16 Section 1.8: 7, 9 Section 2.1: 5,6  April 23
 4/23 Section 2.1: 8 Section 2.2: 6 Section 2.3: 5, 16 April 30
 5/7      Section 2.6: 3 Section 3.2: 11, 17, 19 May 14 
 5/14 Section 3.2: 12 Section 3.3: 2, 6, 11 May 21
 5/21 Section 3.3: 17 Section 3.4: 8, 10, 11  May 29
 5/29 Section 3.5: 3, 5 Section 4.2: 6, 10 June 4 


Midterm and Final Exam
Midterm Exam: Section 1.7: 6 Section 1.8: 11 Section 2.3: 18 Section 2.4: 4, 7, 11, 13 


Final Exam: Section 1.7: 16 Section 3.2: 26 Section 4.4: 6 Section 4.5: 2 Section 4.7: 5  Section 4.8: 2  Section 4.9: 11
(The exam is due Friday, June 15 at 3:30pm.)




Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:

CalculatorsYES*NO
ComputersYES*NO

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

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Faramarz Vafaee,
May 3, 2018, 1:14 PM
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Faramarz Vafaee,
Apr 12, 2018, 12:58 PM