Math 472: Introduction to Topology
Colorado State University, Fall 2016
Instructor: Henry Adams
Email: henry dot adams at colostate dot edu
Office: Weber 125
- Wednesdays 12:50-1:50 in Weber 125,
- or by appointment.
Lectures: MWF 12:00-12:50pm in Engineering E204
Textbook: Basic Topology by M. A. Armstrong.
Overview: This course is an introduction to topology. Topics covered include Euler's theorem, topologies on sets, continuous functions, homeomorphisms, sequences and convergence, metric spaces, compactness, connectedness, path-connectedness, identification spaces, homotopy equivalences, the fundamental group, Brouwer's fixed-point theorem, classification of surfaces.
Syllabus: Here is the course syllabus.
HomeworkHomework 1 (LaTeX Source) is due Friday, August 26.
Homework 2 (LaTeX source) is due Friday, September 2.
Homework 3 (LaTeX source) is due Friday, September 9.
Homework 4 (LaTeX source) is due Friday, September 16.
Homework 5 (LaTeX source) is due Friday, September 23.
Homework 6 (LaTeX source) is due Friday, October 7.
Homework 7 (LaTeX source) is due Friday, October 14.
Homework 8 (LaTeX source) is due Friday, October 21.
Homework 9 (LaTeX source) is due Friday, October 28.
Homework 10 (LaTeX source) is due Monday, November 14.
Homework 11 (LaTeX source) is due Friday, November 18.
Homework 12 (LaTeX source) is due Friday, December 2.
We will have weekly homework assignments. All homework is due in class at the beginning of class. Your homework should be legible and stapled.
ExamsThe exams will be in-class. You will only be able to use your brain and a pen or pencil - no notes, books, or electronic devices. The exams will be comprehensive, except that Midterm 2 will emphasize the material after Midterm 1, and the Final will emphasize the material after Midterm 2.
NotesScans of Henry's lecture notes.
|Aug 22||Introduction and course overview|
|Aug 26||§1.2||Homework 1 due|
|Aug 29||§1.3, 1.4|
|Aug 31||§1.4, 1.5|
|Sept 2||§1.6||Homework 2 due|
|Sept 5||Holiday - no class!|
|Sept 7||§1.6, 2.1||Last day to drop or change grading option|
|Sept 9||§2.1||Homework 3 due|
|Sept 16||§3.2||Homework 4 due|
|Sept 21||§3.3, 3.4|
|Sept 23||§3.4||Homework 5 due|
|Sept 30||Midterm #1||Midterm through §3.3|
|Oct 3||§3.4, 3.5|
|Oct 7||Midterm recap and §3.5||Homework 6 due|
|Oct 10||Research talk and office hours|
|Oct 14||§3.6||Homework 7 due|
|Oct 17||§5.1||End of course withdrawal period|
|Oct 21||§5.1||Homework 8 due|
|Oct 28||§5.2||Homework 9 due|
|Nov 4||Midterm #2||Midterm through §5.1|
|Nov 11||Class cancelled|
|Nov 14||§5.4||Homework 10 due|
|Nov 18||§5.4||Homework 11 due|
Fall Recess, Nov 21-25
|Dec 2||§5.7||Homework 12 due|
|Dec 5||An introduction to computational topology|
|Dec 6||Dinner at Henry's!|
|Dec 7||Review and class picture|
Final Exam, Monday December 12
|4:10-6:10pm in Engineering E204|