Instructor:

• Richard Koch
• Office: 108A Deady
• Phone: 346-5630 and 686-8466
• Email: < koch@math.uoregon.edu >
• Office Hours: Monday 3:00 - 4:00; Wednesday and Friday 2:00 - 3:00

Class Notes

• Notes on Differential Geometry. This is quite a large download -- a 188 page pdf file with many illustrations.

Documents

• Syllabus

• Entire Theory for Sphere
• Page one of sphere theory with illustrations
• Page two of sphere theory with illustrations
• Page three of sphere theory with illustrations

• Notes on the Gauss Bonnet theorem; the last two weeks of the course

Assignments

• Homework Assignment 1
  • On Wednesday afternoon, Benjamin Lemer pointed out a mistake in the original version of problem 5b on Assignment 1. This problem is correct in the above web version.
• Homework Assignment 2
  • In problem 4, I asked for the osculating circle at x = 0. This is not very interesting for the sine curve! Please instead find the osculating circle at x = pi/2. I've changed the assignment to ask for it at this point.
• Homework Assignment 3
  • Some typos were discovered by Ben Dominik; they are corrected here. Thanks for the corrections!
• Homework Assignment 4
• Homework Assignment 5
  • In problems 1 and 4, the non-Euclidean metric should have had a 4 rather than a 2. This is corrected in the web copy.
• Homework Assignment 6
• Homework Assignment 7
• Homework Assignment 8
• Homework Assignment 9

Homework Solutions

• Solutions to Assignment 1
  • Socratic dialog by Samuel Denton to solve exercise one.
  • Java Applet by Zach Vorhies to draw curves by inputting curvature and torsion.
• Solutions to Assignment 2
• Solutions to Assignment 3
• Solutions to Assignment 4
• Solutions to Assignment 5
• Solutions to Assignment 6
• Solutions to Assignment 7
• Solutions to Assignment 8
• Solutions to Assignment 9

Reviews

• Review for Midterm
• Review for Second Midterm
  • Solution to example in section 4
  • Solutions to first two examples in section 6
  • Solution to final example in section 6
• Review for the Final

Examination Answers

• Midterm 1 and Answers
• Midterm 2 and Answers