MATH3200 (Introduction to Topology)

MATH3200, Spring 2005
Instructor: Dr R.M. Green
Venue: MWF 11, ECCR 108
Office: MATH 313
Email: rmg [AT] euclid.colorado.edu
Office Hours: M 2, W 10, F 10, or by appointment
Text
Introduction to Topology by Bert Mendelson (third edition)
Outline of syllabus
Theory of sets, metric spaces, topological spaces, connectedness, compactness. This roughly corresponds to chapters 1, 2, 3.1-3.7, 4.1-4.6 and 5.1-5.4 of the book.
Grading
Your grade will be computed from: The three examination scores may be individually curved to produce an appropriate profile.
Tests
The two midterms will be held during class on Wednesday, February 9, and Wednesday, March 16, 2005.
The final exam is on Thursday May 5 from 10.30am to 1pm in the usual classroom. Bring your CU student ID to all of your tests.
Homework
Homework is due at the beginning of class. Usually, not all of the problems will be graded. Show all your working.
Students With Disabilities
If you qualify for accommodations because of a disability, please submit a letter to me from Disability Services in a timely manner so that your needs may be addressed. Disability Services determines accommodations based on documented disabilities. Contact: 303-492-8671, Willard 322, or www.Colorado.EDU/disabilityservices
Disability Services' letters for students with disabilities indicate legally-mandated, reasonable accommodations. Other letters/requests you may receive from agencies such as the Wardenburg Student Health Center, or other health providers, such as physicians or counselors, are recommendations you may choose to follow to assist students but are not necessarily legal mandates. The syllabus statements and answers to Frequently Asked Questions can be found at www.colorado.edu/disabilityservices
Missed Exams
If you know that you are going to miss an exam or cannot take the final exam at the scheduled time, please notify your instructor at least two weeks in advance. If you miss a midterm exam for any acceptable reason (e.g. religious obligation, documented illness), that midterm exam score will be replaced by your other midterm exam grade. If you miss both exams for acceptable reasons, your course grade will be based entirely on your final exam score. If you miss the final exam and have not rescheduled it in advance, you will score zero on the final or receive an incomplete in the course, depending on the circumstances.
Religious Obligations
Campus policy regarding religious observances requires that faculty make every effort to reasonably and fairly deal with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. In this class, if you have a religious obligation that conflicts with one of the exams, please let your instructor know at least two weeks in advance. See policy details at http://www.colorado.edu/policies/fac_relig.html
Student Classroom and Course-Related Behavior
Students and faculty each have responsibility for maintaining an appropriate learning environment. Students who fail to adhere to behavioral standards may be subject to discipline. Faculty have the professional responsibility to treat students with understanding, dignity and respect, to guide classroom discussion and to set reasonable limits on the manner in which students express opinions. See policies at http://www.colorado.edu/policies/classbehavior.html and at http://www.colorado.edu/studentaffairs/judicialaffairs/code.html#student_code
Please, no open yawning in the classroom!
Honor Code
All students of the University of Colorado at Boulder are responsible for knowing and adhering to the academic integrity policy of this institution. Violations of this policy may include: cheating, plagiarism, aid of academic dishonesty, fabrication, lying, bribery, and threatening behavior. All incidents of academic misconduct shall be reported to the Honor Code Council (honor@colorado.edu; 303-725-2273). Students who are found to be in violation of the academic integrity policy will be subject to both academic sanctions from the faculty member and non-academic sanctions (including but not limited to university probation, suspension, or expulsion). Additional information on the Honor Code can be found at http://www.colorado.edu/policies/honor.html and at http://www.colorado.edu/academics/honorcode/
Statement on Sexual Harassment
The University of Colorado Policy on Sexual Harassment applies to all students, staff and faculty. Sexual harassment is unwelcome sexual attention. It can involve intimidation, threats, coercion, or promises or create an environment that is hostile or offensive. Harassment may occur between members of the same or opposite gender and between any combination of members in the campus community: students, faculty, staff, and administrators. Harassment can occur anywhere on campus, including the classroom, the workplace, or a residence hall. Any student, staff or faculty member who believes s/he has been sexually harassed should contact the Office of Sexual Harassment (OSH) at 303-492-2127 or the Office of Judicial Affairs at 303-492-5550. Information about the OSH and the campus resources available to assist individuals who believe they have been sexually harassed can be obtained at: http://www.colorado.edu/sexualharassment/

Homework assignments

Assignment 1 (assigned Mon 10 Jan, due Wed 19 Jan)
1.2: 1 (a, c, d, e, h), 2, 3
1.3: 1 (b, d, f), 2
1.4: 1 (b, d), 2, 4
Graded: 1.2.2 (2), 1.3.2 (4), 1.4.4 (4)
Assignment 2 (assigned Wed 19 Jan, due Wed 26 Jan)
1.5: 1, 3
1.6: 1 (b, d), 2, 4 (a, b), 5
1.7: 2, 4
Graded: 1.5.3 (2), 1.6.4 (4), 1.7.4 (4)
Assignment 3 (assigned Mon 24 Jan, due Mon 31 Jan)
1.8: 1, 3
1.9: 1, 4
1.10: 1
Graded: 1.8.1 (2), 1.9.1 (4), 1.10.1 (4)
Assignment 4 (assigned Mon 31 Jan, due Mon 7 Feb)
2.2: 1, 4, 6, 7
2.3: 2
Graded: 2.2.4 (3), 2.2.7 (3), 2.3.2 (4)
Assignment 5 (assigned Mon 7 Feb, due Wed 16 Feb)
2.4: 1, 4, 6, 8
2.5: 1, 7, 8
Graded: 2.4.1 (4), 2.4.6 (2), 2.5.8 (4)
Assignment 6 (assigned Mon 14 Feb, due Mon 21 Feb)
2.6: 2, 3
2.7: 1, 4, 7, 8
Graded: 2.6.3 (4), 2.7.1 (3), 2.7.8 (3)
Assignment 7 (assigned Mon 21 Feb, due Mon 28 Feb)
3.2: 2, 4, 5, 6
3.3: 2, 3
Graded: 3.2.4 (4), 3.2.6 (2), 3.3.2 (4)
Assignment 8 (assigned Mon 28 Feb, due Mon 7 Mar)
3.4: 2, 3, 7, 8, 9, 13
Graded: 3.4.2 (4), 3.4.3 (4), 3.4.8 (2 + 1 bonus)
Assignment 9 (assigned Mon 7 Mar, due Mon 14 Mar)
3.5: 1, 3
3.6: 1, 3, 4, 8
Graded: 3.5.1 (3), 3.5.3 (4), 3.6.3 (3)
Assignment 10 (assigned Mon 14 Mar, due Wed 30 Mar)
3.7: 2, 6
4.2: 1, 3, 5
Graded: 3.7.6 (3), 4.2.1 (3), 4.2.5 (4)
Assignment 11 (assigned Mon 28 Mar, due Mon 4 Apr)
4.3: 1 (note: "intervals" need not be bounded)
4.4: 1 (you may not use the intermediate value theorem), 4 (you may assume that p is continuous)
Graded: 4.3.1 (3), 4.4.4 (7)
Assignment 12 (assigned Mon 4 Apr, due Mon 11 Apr)
4.5: 2, 5, 6
4.6: 1, 3, 4
Graded: 4.5.2 (2), 4.6.3 (6), 4.6.4 (2)
Assignment 13 (assigned Mon 11 Apr, due Mon 18 Apr)
5.2: 1, 2, 4
Graded: 5.2.1 (3), 5.2.2 (2), 5.2.4 (5)
Assignment 14 (assigned Mon 18 Apr, due Mon 25 Apr)
5.3: 2
5.4: 2, 3 (but omit the last part about Rn and Sn).

Final scores

A
1087-1166
(2 students)
B
954-1028
(5 students)
C
919
(1 student)
D
718-809
(2 students)
D-
688-696
(2 students)
F
197-673
(6 students)