Math 6210- Intro to Topology-Fall 2017 Website

Class Meetings. MWF 2:00-2:50pm in in EKLC E1B75.


Instructor. Carla Parvati Farsi

Office Hours (in my office Math 229): MWF 1-1:50, or by appointment.


Textbook: Topology and Geometry by G. Bredon.

Other books for consultation: Hatcher, Munkres.


Course website: The course website for my Math 6210 is at



See the website for exam information, homework assignments, the course schedule, and the syllabus.


About Intro to Topology: Basic course for mathematics graduate students and advanced mathematics majors. Develops a rigorous foundation of the theory of continuity, as well as associated topics such as homotopy and fundamental groups.


Assignments and assessments: The only effective way to learn mathematics  is to learn the theory we develop in class and, of course, practice.


Presentations: Each student will give two 10-15 minutes presentation on some homework problems (scheduled in advance)


Midterms: This course has one midterm exams and a final exam. They have already been scheduled. Calculators and cell phones will not be allowed during any portion of any exam. Use of any electronic device at any time during the exam will be considered cheating. Again, absolutely no electronic devices such as computers, tablets, laptops or cell phones will be allowed on exams. Nor will they be needed on exams.  However, a 4" by 6" review card will be allowed for each of the midterms, and two such are allowed during the final (written on both sides).


Plan your schedule now. There will be no makeup exams given under any circumstances. If you cannot attend an exam due to a documented emergency or illness, please see me.

-- Midterm: Wd, Oct 18, in our classroom.

--Final Exam: The final exam for the course is cumulative. It is scheduled for: Wd. Dec. 20 1:30 p.m. - 4:00 p.m in our classroom.


Grades: The grade distribution will be calculated based on the following weighting:

_ Midterm (25% total)

_ Final Exam (35%)

_ Homeworks (20%)

_ Presentations (20%)




Accommodations for Disabilities: If you qualify for accommodations because of a disability, please submit to your professor a letter from Disability Services in a timely manner (for exam accommodations provide your letter at least one week prior to the exam) so that your needs can be addressed. Disability Services determines accommodations based on documented disabilities.

Contact Disability Services at 303-492-8671 or by e-mail at If you have a temporary medical condition or injury, see Temporary Injuries guidelines under the Quick Links at the Disability Services website and discuss your needs with your professor.


Religious Observances: Campus policy regarding religious observances requires that faculty make every effort to deal reasonably and fairly with all students who, because of religious obligations, have conflicts with scheduled exams, assignments or required attendance. Please let your instructor

know during the first week if you are requesting accommodations due to a religious observance. See the campus policy regarding religious observances for full details.


Classroom Behavior: Students and faculty each have responsibility for maintaining an appropriate

learning environment. Those who fail to adhere to such behavioral standards may be subject to discipline. Professional courtesy and sensitivity are especially important with respect to individuals and topics dealing with differences of race, color, culture, religion, creed, politics, veterans status, sexual orientation, gender, gender identity and gender expression, age, disability, and nationalities.


Class rosters are provided to the instructor with the student's legal name. I will gladly honor your request to address you by an alternate name or gender pronoun. Please advise me of this preference early in the semester so that I may make appropriate changes to my records. For more information,

see the policies on classroom behavior and the student code.


Sexual Misconduct, Discrimination, Harassment and/or Related Retaliation: The University of Colorado Boulder (CU Boulder) is committed to maintaining a positive learning, working,

and living environment. CU Boulder will not tolerate acts of sexual misconduct, discrimination, harassment or related retaliation against or by any employee or student. CUs Sexual Misconduct Policy prohibits sexual assault, sexual exploitation, sexual harassment, intimate partner abuse

(dating or domestic violence), stalking or related retaliation. CU Boulders Discrimination and Harassment Policy prohibits discrimination, harassment or related retaliation based on race, color, national origin, sex, pregnancy, age, disability, creed, religion, sexual orientation, gender identity,

gender expression, veteran status, political affliliation or political philosophy. Individuals who believe they have been subject to misconduct under either policy should contact the Office of Institutional

Equity and Compliance (OIEC) at 303-492-2127. Information about the OIEC, the above referenced policies, and the campus resources available to assist individuals regarding sexual misconduct,

discrimination, harassment or related retaliation can be found at the OIEC website.

Honor Code: All students enrolled in a University of Colorado Boulder course are responsible for knowing and adhering to the academic integrity policy of the institution. Violations of the policy may include: plagiarism, cheating, fabrication, lying, bribery, threat, unauthorized access, clicker fraud, resubmission, and aiding academic dishonesty. All incidents of academic misconduct will be

reported to the Honor Code Council (; 303-735-2273). Students who are found responsible for violating the academic integrity policy will be subject to nonacademic sanctions from the Honor Code Council as well as academic sanctions from the faculty member. Additional information regarding the academic integrity policy can be found at



HOMEWORK ASSIGNMENTS (from Bredon textbook unless otherwise specified)


Homework #1 Due Fr Sept 15: Page 7 # 1,2,4,5; Page 9 # 3,4,8. Page 12  # 1,3,5

Homework #2 Due Wd Sept 27: Page 21 # 2,3; Page 24 # 1, 3,4,5,6,8,9. 

Homework #3 Due Fr Oct 27: Page 138 # 1,2,3; Page 143 # 1,2,3,4,5.

                                                                    Homework #4 Due November 29, 2017. From Munkres book ‘Topology’

                                                                     Page 348: 4,5,7,8. Page 353: 1,2,4.

                                                                     Homework #5 (from Munkres) Due Dec 6: Page 356: 1,2. 

                                                                     Read the Borsuk-Ulam Theorem for the two-sphere and its proof. Page 359: 1,2,3,4.

                                                                      Homework # 6 due Dec 13 (from Munkres) Page 441 #1,2,3, Page 445 #1,2,3.