Math 142, Spring 2018
Information for students
DSP students should speak to the instructor as soon as possible, even if you don't have a letter yet.
Guidelines on what to do if you think you may have a conflict between this class and your extracurricular activities. In particular, you must speak to the instructor before the end of the second week of classes.
Academic honesty in mathematics courses: A statement on cheating and plagiarism, courtesy of Michael Hutchings.
How to get an A in this class, courtesy of Kathryn Mann.
The required text for this course is M.A. Armstrong's Basic Topology. It can be downloaded on a campus connection. You may also find Topology (2nd edition) by James Munkres helpful, and I suggest it for going deeper.
Homework, Readings, etc.
(will be updated throughout the course)
Week 1 --- January 16 and 18: Topological spaces, continuous functions
Optional Reading: Believe It, Then Don't: Toward a Pedagogy of Discomfort
Textbook Reading: Armstrong, sections 2.1 and 2.2
Week 2 --- January 23 and 25: Continuous functions, identification spaces
Textbook Reading: Armstrong, sections 2.2, 3.4, 4.1, and 4.2
Homework 1 (due Tuesday, January 30): Click here
Week 3 --- January 30 and February 1: Identification spaces, compactness
Textbook Reading: Armstrong, sections 4.2 (ident. spaces), 3.1, 3.3, and 3.4 (compactness)
Homework 2 (due Tuesday, February 6): Click here
Week 4 --- February 6 and 8: Compactness, connectedness
Textbook Reading: Armstrong, sections 3.2, 3.4 (compactness), 3.5, and 3.6 (connectedness)
Homework 3 (due Tuesday, February 13): Click here
Week 5 --- February 13 and 15: Homotopy
Textbook Reading: Armstrong, sections 5.1, 5.4 (homotopy), and 5.2 (fundamental group)
Homework: No homework this week!
Week 6 --- February 20 and 22: Review & Midterm 1
Midterm 1 is on Thursday in class.
Testable material: Material from Armstrong (below), homeworks, anything in class (except metrisation)
Material covered from Armstrong: 2.1, 2.2 (but not Thm 2.9cd or Thm 2.10 forward)
3.1, 3.2, 3.3 (but not Thm 3.11), 3.4 (but not Thm 3.14), 3.5 (but not Thm 3.23, Cor 3.24, Thm 3.25, Thm 3.27), 3.6 (up to end of Thm 3.29)
4.1, 4.2 (but not the cone construction, nor Lemma 4.5 up to projective spaces [but from the latter on is testable])
5.1, 5.4 (up to but not including Thm 5.17, and from Thm 5.19 to the end)
Homework 4 (due Tuesday, February 27): Click here