Instructor: Anar Akhmedov
Lectures: MWF 11.15am - 12.05pm in Vincent Hall 213.
E-mail: akhmedov@math.umn.edu
Office Hours: Monday 12.40 - 2.20pm. My office is in room 355 of the Vincent Hall.
Prerequisites: Math 8301 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 |
Topology from a differential point of view | J. Milnor | 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 |
Course Outline: This is a first course in algebraic topology. The fall semester we plan to cover Chapters 0 - 3 of the textbook. The main topics are: homotopy, fundamental group, covering spaces, homology, and cohomology.
Web page: http://www.math.umn.edu/~akhmedov/MATH8306.html.
Grading: The course grade will be based on seven homework assignments, in class midterm, and a comprehensive take-home final, with the following weights:
Exams: There will be a comprehensive take-home final examination (which will worth 33% of the final course grade) and in class midterm on October 26 (which will worth 25% of the final course grade).
Homework: There will be 7 homeworks in this course, each worth 6 points. Homework will be a fundamental part of this course, and will be worth 42 points (42% of the course grade). NO LATE HOMEWORK WILL BE ACCEPTED.
The first homework assignment will be due on September 23.
Please staple your homework before handing it in. If you have questions about the homework, it is best to ask during my office hours.
TAKE HOME FINAL
DUE: by noon Monday, December 21
Assignment Problems from the Text Homework 1
due Sept 23 Chapter 0
Problems 2, 10, 11, 14, 16, 18, 19, 20, 21, 24.
Homework 2
due Oct 7 Chapter 1
Section 1.1: Problems 3, 5, 8, 10, 12, 14, 15, 17, 18, 20
Homework 3
due October 21
Chapter 1
Section 1.2: Problems 2, 3, 4, 6, 9, 14, 16
Section 1.3: Problems 2, 3, 4, 9, 14, 20, 23
In class Midterm on Monday, October 26.
The Midterm will cover Chapter 0, Chapter 1 Sections 1.1, 1.2, 1.3.
Homework 4
due November 11
Chapter 2
Section 2.1: Problems 4, 5, 7, 8, 9, 11, 12, 13, 14, 17, 22, 29, 30
Homework 5
due November 25
Chapter 2
Section 2.2: Problems 2, 4, 10, 11, 15, 21, 22, 23, 24, 36, 38
Homework 6
due December 7
Chapter 3
Section 3.1: Problems 1, 3, 6, 7, 9, 11
Homework 7
due December 14
Chapters 3
Section 3.2: Problems 1, 3, 4, 5, 8, 11, 12, 16, 18