College of the Holy Cross
Department of Mathematics and Computer Science

• YouTube Topology Favorites.
  
  
• Syllabus.
  
  
• Textbook: Basic Topology, by M.A. Armstrong.
  Publisher: Springer; 1st ed. 1979. Corr. 5th printing edition (November 2, 2010)
  ISBN-10: 1441928197 (Paperback)
  ISBN-13: 978-1441928191 (Paperback)
  
  
• Assignments (Note: Exercises are numbered consecutively within chapters.)
  
  
  • Assignment #1: Due Friday, February 4. Read Sections 2.1 and 2.2.
    
    • Section 2.1 Exercises: 1a-d, 3-11 odd.
    • Assignment 1 handout.
      
      
  • Assignment #2: Due Friday, February 11. Read Sections 2.2 and 2.4.
    • Section 2.2 Exercises: 13, 15, 17, and 19 .
    • Section 2.4 Exercises: 27, 28, 29, 30 and 33.
    • Assignment 2 handout.
      
      
  • Assignment #3: Due Friday, February 18. Read Sections 3.1, 3.2, and 3.3.
    • Section 3.2 Exercises: 2.
    • Section 3.3 Exercises: 7, 9, 12, 14, and 15.
    • Assignment 3 handout due Monday, February 21. Note this contains hints for several of the textbook problems.
      
      
  • Assignment #4: Due Friday, February 25. Read Sections 3.4, and 3.5.
    • Section 3.4 Exercises: 20, 21, 24, 25, 28.
    • Section 3.5 Exercises: 30, 31.
      
  • First Hour Exam: Monday, February 28, 6:30-8:00 PM.
    
    • Test Preparation Handout.
    • Sample Test Questions.
    • Sample Test Questions Selected Solutions.
      
      
  • Assignment #5: Due Friday, March 18. Read Sections 3.6, 4.1 - 4.4
    
    • Section 3.6 Exercises: 39, 40.
    • Section 4.2 Exercises: 7, 10, 11.
    • Section 4.3 Exercises: 13, 14, 16, 25.
      
    • Choose a YouTube video for our YouTube Topology Favorites. Submit your selection to me via e-mail for posting. See the link for brief instructions.
      
    
    
  • Assignment #6: Due Friday, March 25. Read Sections 4.4 and 5.1
    
    • Section 4.3 Exercises: 17, 19, 20.
    • Section 4.4 Exercises: 26, 27, 28, 31, 32.
    
    
  • Assignment #7: Due Friday, April 1. Read Chapter 5.
    
    • Section 5.1 Exercises: 1, 2, 3, 5, 6.
    • Section 5.2 Exercises: 11, 13.
    • Section 5.3 Exercises: 21, 22.
    
    
  • Assignment #8: Due Friday, April 8.
    
    • Assignment 8.
    
    
  • Assignment #9: Due Friday, April 15. Report on the AMS Sectional Meeting at Holy Cross.
    
    • Assignment 9 due Wednesday, April 20.
    
    
  • Assignment #10: Due Wednesday, April 20. Read Sections 5.4, 5.5, 6.1, 6.2
    
    • Section 5.4 Exercises: 25, 26, 29, 30 (Mobius strip only).
    • Section 5.5 Exercises: 33.
    • Section 6.1 Exercises: 3, 7.
    
    
  • Second Hour Exam: Thursday, April 28, 6:30-8:00 PM, 321 Swords.
    
    
    • Second Test Preparation Handout.
    • Sample Second Test Questions.
    • Sample Second Test Question Solutions.
      
      
  • Assignment #11: Due Monday, May 9. This is a two part group assignment.
    • Assignment 11 .
    • Figure for Exercise 5 .
    
    
    
    
• Topology on the web:
  
  
  • Knotplot, excellent Software from Rob Scharein: KnotPlot Home Page
    
    
  • Livingston-Cha's Interactive Table of Knots
    
    
  • Allen Hatcher s web page from Cornell. Notes on Introductory Point-Set Topology
    
    
  • Topology page from Wikipedia
    
    
  • From the University of St. Andrews: History of Topology and Geometry
    
    
  • From University of Tennessee, Knoxville: Topology Archive
    
    
  • From Mathworld: Topology page
    
    
  • From Drexel University Math Forum: Topology
    
    
  • From Jeff Weeks: Topology and Geometry Games!!!
    
    
  • From the University of Minnesota: Geometry Center. Source for visualization and computation of geometric structures.