Instructor: Ljudmila Kamenova
Office: Math Tower 3-115
Office hours: MW 11:00am-12:00pm in Math Tower 3-115; M 12:00-1:00pm (advising hour) in Math Tower 3-115; or send me an e-mail: kamenova@math.stonybrook.edu.
Grader: Austin Konkel
Grader's office hours: Austin Konkel's card
Course Description:
Basic point set topology: connectedness, compactness, continuity, etc. Metric spaces, function spaces, and topological manifolds. Introduction to algebraic topology: fundamental group and covering space, homology, applications.
Textbook:
Topology (2nd Ed.), by James R. Munkres, Prentice Hall, 2000.
Additional reference, which we use weekly: Christian Schnell's MAT 530 lecture notes.
Grading: Homework accounts for 40% of the total grade; the Midterm is worth 20% of the total grade; the Final is worth 40% of the total grade.
| Week. | Lecture Dates. | Sections. |
|---|---|---|
| 1. | August 26th and 28th. | Sections 12-17 [Munkres], Lectures 1 and 2 [C. Schnell's notes]. |
| 2. | Sept 4th. | Sections 18, 20-22 [Munkres], Lecture 3 [C. Schnell's notes]. |
| 3. | Sept 9th and 11th. | Sections 23-27 [Munkres], Lectures 4 and 5 [C. Schnell's notes]. |
| 4. | Sept 16th and 18th. | Sections 28-29, 37 [Munkres], Lectures 6 and 7 [C. Schnell's notes]. |
| 5. | Sept 23rd and 25th. | Sections 30-33 [Munkres], Lectures 8 and 9 [C. Schnell's notes]. |
| 6. | Sept 30 and Oct 2. | 34-36 [Munkres], Lectures 10 and 11 [C. Schnell's notes]. |
| 7. | Oct 7th and 9th. | Sections 43, 45, 47 [Munkres], Lectures 12 and 13 [C. Schnell's notes]. |
| 8. | Oct 16th. | Midterm (in class). |
| 9. | Oct 21st and 23rd. | Sections 51-52 [Munkres], Lectures 14 and 15 [C. Schnell's notes]. |
| 10. | Oct 28th and 30th. | Sections 53-54, 56 [Munkres], Lectures 16 and 17 [C. Schnell's notes]. |
| 11. | Nov 4th and 6th. | Sections 55, 58-60 [Munkres], Lectures 18 and 19 [C. Schnell's notes]. |
| 12. | Nov 11th and 13th. | Sections 68-70 [Munkres], Lectures 20 and 21 [C. Schnell's notes]. |
| 13. | Nov 18th and 20th. | Sections 71, 73-74, 79 [Munkres], Lectures 22 and 23 [C. Schnell's notes]. |
| 14. | Nov 25th. | Review, catching up with material. Thanksgiving break. |
| 15. | Dec 2nd and 4th. | Sections 80-82 [Munkres], Lectures 24 and 25-26 [C. Schnell's notes]. |
| 16. | Dec 9th (Last day of classes). | Review. |
Homework is a fundamental part of this course, and you will have to work hard on the assigned problems in order to succeed. Late homework will not be accepted. Homework will account for 40% of the total grade. The exercises will be from the course textbook.
| Number. | Due Date. | Exercises. |
|---|---|---|
| 1. | Wednesday, Sept 4th at 9:30am. | §13: 4, 5, 8a; §16: 4, 8. |
| 2. | Wednesday, Sept 11th at 9:30am. | §17: 6b, 11, 19a; §18: 2, 5. |
| 3. | Wednesday, Sept 25th at 9:30am. | §20: 3; §22: 2, 4a, 5; §23: 9. |
| 4. | Wednesday, Oct 2nd at 9:30am. | §24: 2, 3; §25: 4; §26: 7, 8. |
| 5. | Wednesday, Oct 9th at 9:30am. | §28: 4; §29: 1, 6; §30: 4; §31: 1. |
| 6. | Wednesday, Oct 30th at 9:30am. | §32: 1; §33: 3; §34: 1; §36: 1,2. |
| 7. | Wednesday, Nov 6th at 9:30am. | §51: 2, 3a; §52: 3, 4, 5. |
| 8. | Wednesday, Nov 13th at 9:30am. | §53: 3, 5; §54: 7, 8; §55: 1. |
| 9. | Wednesday, Nov 20th at 9:30am. | §58: 2b, 5, 9abcd; §59: 3b; §60: 1. |
| 10. | Wednesday, Dec 4th at 9:30am. | §79: 2, 3, 4; §81: 1a, 4. |
Accessibility Support Center (SASC) Statement: If you have a physical, psychological, medical or learning disability that may impact your course work, please contact the Student Accessibility Support Center (SASC), ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is confidential.
Students who might require special evacuation procedures in the event of an emergency are urged to discuss their needs with both the instructor and DSS. For important related information, click here.
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Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures.