Instructor: Anar Akhmedov
Lectures: MWF 10.10 - 11.00am in Vincent Hall 301.
E-mail: akhmedov@math.umn.edu
Office Hours: Friday 11.05am - 12.00pm and 1.00 - 2.00pm. If you have questions, I encourage you to come to my office hours. This would be the best time to talk to me and address questions you have about the course material, homework assignments, grading, exams, etc. My office is in room 355 of the Vincent Hall.
Prerequisites: Math 8306 or instructor's consent.
Textbook:
Algebraic Topology, by Allen Hatcher. The textbook is available at the University bookstore, and also on reserve in the Mathematics Library. Our textbook is also available free online, at http://www.math.cornell.edu/~hatcher/AT/ATpage.html
Title | Author(s), Publ. info | Location |
---|---|---|
Topology and Geometry | G. Bredon | On reserve in math library |
Characteristic Classes | J. Milnor and J. Stasheff | On reserve in math library |
Differential forms in Algebraic Topology | R. Bott and L. P. Tu | On reserve in math library |
Algebraic Topology | W. Fulton | On reserve in math library |
Algebraic Topology | E. Spanier | On reserve in math library |
A Concise Course in Algebraic Topology | P. May | On reserve in math library |
Geometry of Differential Forms | S. Morita | On reserve in math library |
Course Outline: This is a second course in algebraic topology, a continuation of MATH 8306. The spring semester we plan to cover the remaining sections of Chapters 3 and Chapter 4 of the textbook. If time permits, I'll also discuss a few chapters (vector bundles, Stiefel-Whitney classes, Grassmann manifolds, etc) of the textbook "Characteristic Classes" by J. Milnor and J. Stasheff.
Course Syllabus: Click here to download course syllabus in PDF format.
Web page: http://www.math.umn.edu/~akhmedov/M8307.html.
Grading: The course grade will be based on homework assignments, in-class presentation and a comprehensive take-home final, with the following weights:
Exams: There will be a comprehensive take-home final examination which will worth 30 points (30% of the final course grade).
Codes | Scores |
---|---|
99 | 28 |
98 | 25 |
85 | 15 |
77 | 30 |
76 | 30 |
74 | 23.5 |
50 | 28 |
45 | 30 |
In-Class Presentation: Each student will be asked to give a presentation about a project related to the course. See below for a list of possible projects. I also encourage you to talk to me about your interests to find other possible projects.
Possible topics:
In-class presentations will be 45 minutes in length, with an additional 10 minutes for questions. These presentations will occur in the last weeks of the semester. In addition to class times, I'll arrange some extra times for these presentation. Please let me know the topic for your talk by March 21 .
Codes
Scores
99
20
98
20
85
20
77
20
76
20
74
20
50
20
45
20
Homework: There will be 10 homeworks in this course, each worth 10 points. Homework will be a fundamental part of this course, and will be worth 100 points (50% of the course grade). NO LATE HOMEWORK WILL BE ACCEPTED.
The first homework assignment will be due on TBA. Please staple your homework before handing it in. If you have questions about the homework, it is best to ask during my office hours.
Assignment | Problems |
---|---|
Homework 1 due 01/31 | Chapter 3
Section 3.1 Problems 7, 8, 9, 11 |
Homework 2 due 02/07 | Chapter 3
Section 3.2: Problems 1, 3, 4, 5. Homework 2 additional problems |
Homework 3 due 02/18 | Chapter 3
Section 3.2: Problems 8, 11, 12, 13, 16. Homework 3 additional problems |
Homework 4 due 02/28 | Chapter 3
Section 3.3: Problems 3, 5, 6, 7, 8, 11 Homework 4 additional problems |
Homework 5 due 03/11 | Chapter 3
Section 3.3: 20, 24, 25, 31. Homework 5 additional problems |
Homework 6 due 03/28 | Chapter 4
Section 4.1: 3, 6, 7, 8, 10 |
Homework 7 due 04/06 | Chapter 4
Section 4.1: 11, 12, 14, 15, 17, 23. |
Homework 8 due 04/15 | Chapter 4
Section 4.2: 30, 33, 35 |
Homework 9 due 04/27 | Chapter 4
Section 4.2: 2, 6, 8, 9, 14, 15, 19 |
Homework 10 due 05/2 | Chapter 4
Section 4.3: 1, 5 |