Instructor: Anar Akhmedov
Lectures: MWF 1.25 - 2.15pm in Vincent Hall 211.
E-mail: akhmedov@math.umn.edu
Office Hours: Monday 11.15am - 12.45pm. My office is in room 355 of the Vincent Hall.
Prerequisites: Point-set topology and algebra.
Textbooks:
Introduction to Topological Manifolds,
Second Edition by John Lee.
and
Elements of Combinatorial and Differential Topology, by Viktor Prasolov
| Title | Author(s), Publ. info | Location |
|---|---|---|
| Algebraic Topology | A. Hatcher | On reserve in math library |
| Topology from a differential point of view | J. Milnor | On reserve in math library |
Course Outline: This is a first course in topology of manifolds. The fall semester we plan to cover the classification of compact surfaces, the fundamental group and covering spaces, homology, basic cohomology.
Web page: http://www.math.umn.edu/~akhmedov/MATH8301.html.
Grading: The course grade will be based on homework assignments, in-class midterm and a comprehensive take-home final, with the following weights:
Exams: There will be an in-class midterm on Wednesday, November 2nd and a comprehensive take-home final examinations. The exams worth 30% + 35% = 65% of the final course grade.
In class Midterm on Wednesday, November 2nd. The Midterm will cover Chapters 2, 3, 7, and 8 The exam is a closed book and closed notes.
Homework: There will be 8 homeworks in this course, each worth 10 points. Homework will be a fundamental part of this course, and will be worth 80 points (35% of the course grade). The first homework assignment will be due on 09/19. The grader will pick up the homework usually on Mondays (sometimes on Wednesday) after the class. This means that NO LATE HOMEWORK CAN BE ACCEPTED. You may work together on homework, but everyone must turn in their own written solutions. 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 09/19 |
Jonh Lee, Chapter 2, Problems 4, 7, 10, 11, 13, 14, 17, 18 |
| Homework 2 due 09/28 |
Jonh Lee, Chapter 3, Problems 5, 7, 8, 10, 11, 13, 15 |
| Homework 3 due 10/10 |
Jonh Lee, Chapter 7, Problems 1, 3, 5, 7, 9, 11 |
| Homework 4 due 10/19 |
Jonh Lee, Chapter 8, Problems 1, 2, 3, 5, 7, 9 |
| Homework 5 due 11/07 |
Jonh Lee, Chapter 9, 10 Problems 9.1, 9.2, 9.3, 9.4 Problems 10.1, 10.2, 10.5, 10.6, 10.7, 10.10, 10.12 |
| Homework 6 due 11/14 |
Jonh Lee, Chapters 10, Problems 10. 16, 10.18, 10.19, 10. 20 |
| Homework 7 due 11/28 |
Jonh Lee, Chapter 11 Problems 11.2, 11.4, 11.5, 11.11, 11.12, 11.14 |
| Homework 8 due 12/05 |
Jonh Lee, Chapter 12 Problems |