Fall 2017
This course is an introduction to the basic structures and concepts of point-set topology
and beginning concepts of algebraic topology. This is a core course of the PhD program, and as such,
the syllabus is relatively fixed. The list of topics to be covered is
here.
Instructor: Michael Anderson
Office: 4-110 Math
Tower
Email:
anderson at math.sunysb.edu
Web site:
http://www.math.sunysb.edu/~anderson
Office hours: MW 11:30-1:00 & by appointment in 4-110 Math Tower
Grader: Yuan Gao
Email: ygao at math. stonybrook dot edu
Office: Math Tower 2-106
Office hours: Mon 12-1 and 6-7 in MLC, Wed 4-5 in 2-106.
Lectures: MW 10:00-11:20am, ESS 181
Grading: Homework 30%, Midterm 30%, Final 40%
Course Text:
Topology, 2nd Edition, by
James R. Munkres. Prentice-Hall 2000
Another useful text for the last third of the semester covering algebraic topology is:
Algebraic Topology by Alan Hatcher. This is available as PDF download on
Hatcher's website:
here.
Homework:
There will be weekly homework assignments, generally due in class on
(Wednesdays).
You may discuss homework problems with other students and consult other sources, but you
and only you are responsible for writing the full solutions expressing your full understanding.
Please also write clearly and legibly.
Late homework policy: In general, no late homework is accepted. Exceptions are at the
discretion of the grader.
Check the course schedule below regularly for the assignments.
Midterm:
Wednesday, Oct 18, in lecture class
The material for the Midterm will be all
following Sections, which you can ignore/skip: 14, 35, 38. There will be 6-8 problems,
some easy, some harder, spread over all Chapters, but with a bit more emphasis
on the later Chapters and Sections.
Final Exam:
Tuesday, Dec 19, 2:15-5pm, in MAT 4-130
The problems on the Final Exam will mostly be on algebraic topology, but
covers the following sections.
Chapter 7: 43, 45, 47. Chapter 9, all but 57. Chapter 11: 68-71, 73, Chapter 13: all.
Or the equivalent material in the Hatcher text. There will be 7-8 problems on the exam.
The best preparation is to practice doing problems, e.g. problems from the Hatcher text.
Week of
Section
Problems/Assignments
Due Date
Aug 28
12-17
Sept 6
Sept 4
18,20,21,22
18: 2, 5, 13 19:6,7
20:4(a),8(a) 21:9
Sept 13
Sept 18
23-27
21:2, 8 22:3, 4 Suppl. Ex:4, 5 23:3, 5, 11
Sept 20
Sept 25
28, 29, 37
24:8. 25:4.26:1, 7, 8.. 27:2(a)(b). 28:7.
29:9.
Sept 27
Oct 2
30-33
30:1a, 3, 4, 5a, 12.
31:2, 6, 8.
Oct 4
Oct 9
34, 36, 35
33:2, 4. 34:3, 4. 361,3.
Oct 11
Oct 16
35, 43, Midterm
---
---
Oct 23
43,45,47
43: 1, 2, 5, 7.45: 7ab.
Oct 25
Oct 30
51,52
45:2, 4(a), 5. 51: 1, 2, 3.
Nov 1
Nov 6
53,54,56
52:4, 5. 53:3, 4, 6b. 58:5,6.
Nov 8
Nov 13
55,58-60
54:1, 4, 5, 7, 8. 58:2(a)-(e). 59:2.
Nov 15
Nov 20
Ch.68-70
No HW - Tksgv. Break.
--
Nov 27
71,73,74,79
---
---
Dec 4
Ch.80-82
60:5
70:1, 71:2, 74:3, 4a, 79:2, 5 81:5
Dec 6
Americans with Disabilities Act: If you have a physical, psychological, medical, or learning disability
that may impact on your ability to carry out assigned course work,
please contact Disability Support Services at (631) 632-6748
DSS
. DSS office: EEC (Educational Communications Center) Building, Room 128.
DSS will review your concerns and determine,
with you, what accommodations, if any, are necessary and appropriate. All
information and documentation is confidential.
Arrangements should be made early in the semester so that your needs
can be accommodated.
Students who require assistance during emergency evacuation are encouraged to discuss
their needs with their professors and DSS. For procedures and information go to the DSS website above.
Academic Integrity: Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another persons work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website here.
Critical Incident Management: Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits the students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Handbook and the Faculty-Employee Handbook.
Instructor: Michael Anderson
Office: 4-110 Math Tower
Email: anderson at math.sunysb.edu
Web site: http://www.math.sunysb.edu/~anderson
Office hours: MW 11:30-1:00 & by appointment in 4-110 Math Tower
Grader: Yuan Gao
Email: ygao at math. stonybrook dot edu
Office: Math Tower 2-106
Office hours: Mon 12-1 and 6-7 in MLC, Wed 4-5 in 2-106.
Lectures: MW 10:00-11:20am, ESS 181
Grading: Homework 30%, Midterm 30%, Final 40%
Course Text:
Topology, 2nd Edition, by
James R. Munkres. Prentice-Hall 2000
Topology, 2nd Edition, by James R. Munkres. Prentice-Hall 2000
Another useful text for the last third of the semester covering algebraic topology is:
Homework:
There will be weekly homework assignments, generally due in class on (Wednesdays).
You may discuss homework problems with other students and consult other sources, but you and only you are responsible for writing the full solutions expressing your full understanding. Please also write clearly and legibly.
Late homework policy: In general, no late homework is accepted. Exceptions are at the
discretion of the grader.
Check the course schedule below regularly for the assignments.
Midterm:
Wednesday, Oct 18, in lecture class
The material for the Midterm will be all
following Sections, which you can ignore/skip: 14, 35, 38. There will be 6-8 problems,
some easy, some harder, spread over all Chapters, but with a bit more emphasis
on the later Chapters and Sections.
Final Exam:
Tuesday, Dec 19, 2:15-5pm, in MAT 4-130
The problems on the Final Exam will mostly be on algebraic topology, but
covers the following sections.
Chapter 7: 43, 45, 47. Chapter 9, all but 57. Chapter 11: 68-71, 73, Chapter 13: all.
Or the equivalent material in the Hatcher text. There will be 7-8 problems on the exam.
The best preparation is to practice doing problems, e.g. problems from the Hatcher text.
The problems on the Final Exam will mostly be on algebraic topology, but covers the following sections.
Chapter 7: 43, 45, 47. Chapter 9, all but 57. Chapter 11: 68-71, 73, Chapter 13: all.
Or the equivalent material in the Hatcher text. There will be 7-8 problems on the exam.
The best preparation is to practice doing problems, e.g. problems from the Hatcher text.
|
Week of |
Section |
Problems/Assignments |
Due Date |
|---|---|---|---|
|
Aug 28 |
12-17 |
Sept 6 |
|
|
Sept 4 |
18,20,21,22 |
18: 2, 5, 13 19:6,7 20:4(a),8(a) 21:9 |
Sept 13 |
|
Sept 18 |
23-27 |
21:2, 8 22:3, 4 Suppl. Ex:4, 5 23:3, 5, 11 |
Sept 20 |
|
Sept 25 |
28, 29, 37 |
24:8. 25:4.26:1, 7, 8.. 27:2(a)(b). 28:7.
29:9. |
Sept 27 |
|
Oct 2 |
30-33 |
30:1a, 3, 4, 5a, 12. 31:2, 6, 8. |
Oct 4 |
|
Oct 9 |
34, 36, 35 |
33:2, 4. 34:3, 4. 361,3. |
Oct 11 |
|
Oct 16 |
35, 43, Midterm |
--- |
--- |
|
Oct 23 |
43,45,47 |
43: 1, 2, 5, 7.45: 7ab. |
Oct 25 |
|
Oct 30 |
51,52 |
45:2, 4(a), 5. 51: 1, 2, 3. |
Nov 1 |
|
Nov 6 |
53,54,56 |
52:4, 5. 53:3, 4, 6b. 58:5,6. |
Nov 8 |
|
Nov 13 |
55,58-60 |
54:1, 4, 5, 7, 8. 58:2(a)-(e). 59:2. |
Nov 15 |
|
Nov 20 |
Ch.68-70 |
No HW - Tksgv. Break. |
-- |
|
Nov 27 |
71,73,74,79 |
--- |
--- |
|
Dec 4 |
Ch.80-82 |
60:5 70:1, 71:2, 74:3, 4a, 79:2, 5 81:5 |
Dec 6 |
Americans with Disabilities Act: If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, please contact Disability Support Services at (631) 632-6748 DSS . DSS office: EEC (Educational Communications Center) Building, Room 128. DSS will review your concerns and determine, with you, what accommodations, if any, are necessary and appropriate. All information and documentation is confidential. Arrangements should be made early in the semester so that your needs can be accommodated.
Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and DSS. For procedures and information go to the DSS website above.
Academic Integrity: Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another persons work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website here.
Critical Incident Management: Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits the students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Handbook and the Faculty-Employee Handbook.