Henry Adams

Math 472: Introduction to Topology

Colorado State University, Fall 2016

Instructor: Henry Adams
Email: henry dot adams at colostate dot edu
Office: Weber 125
Office Hours:

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.

Homework

Homework 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.

Exams

The 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.

Here is Practice Midterm 1.
Here is Practice Midterm 2.
Here is a Practice Final.

Notes

Scans of Henry's lecture notes.

Schedule

Date Class Topic Remark

Aug 22 Introduction and course overview
Aug 24 §1.1
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 12 §2.2
Sept 14 §3.1
Sept 16 §3.2 Homework 4 due

Sept 19 §3.3
Sept 21 §3.3, 3.4
Sept 23 §3.4 Homework 5 due

Sept 26 §3.4
Sept 28 Review
Sept 30 Midterm #1 Midterm through §3.3

Oct 3 §3.4, 3.5
Oct 5 §3.5
Oct 7 Midterm recap and §3.5 Homework 6 due

Oct 10 Research talk and office hours
Oct 12 §3.5
Oct 14 §3.6 Homework 7 due

Oct 17 §5.1 End of course withdrawal period
Oct 19 §5.1
Oct 21 §5.1 Homework 8 due

Oct 24 §5.2
Oct 26 §5.2
Oct 28 §5.2 Homework 9 due

Oct 31 §5.3
Nov 2 Review
Nov 4 Midterm #2 Midterm through §5.1

Nov 7 §5.3
Nov 9 §5.3
Nov 11 Class cancelled

Nov 14 §5.4 Homework 10 due
Nov 16 §5.4
Nov 18 §5.4 Homework 11 due

Fall Recess, Nov 21-25
Nov 28 §2.3
Nov 30 §5.5
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
Dec 9 Review

Final Exam, Monday December 12
Through §5.7
4:10-6:10pm in Engineering E204