Math 563: Introduction to Differential Geometry
Fall 2001

Announcements

• Office hours Wed 12/12 are moved to 1-2pm!
• The final exam is posted below!

• John Oprea has an errata Web page for our textbook. Some nice graphics (soap bubbles) are also available.
• Check out this nice gallery of various surfaces.
• Here is the academic calendar.

General Course Information

• Instructor: Takashi Kimura
• Office: MCS 234
• Phone: (617)353-1486

• Lecture: MWF 10-11
• Room: MCS 148
• My Office Hours: MF 1-2 W 2-3

Course Materials

• Course Description/Syllabus
• How to download and open Mathematica notebooks from this Web page.
• Mathematica tutorial (notebook file)
• Notebook from the 9/19 lecture on coordinates on surfaces.
• Notebook from the 9/24 lecture of coordinates on the mobius strip.
• Frenet Frame package and tutorial:
  Download both of the following files but open only the first one in a Mathematica notebook. The second file is used by the first notebook file.
  • tutorial (notebook file)
  • package (input file)
• Notebook from the 10/3 lecture on the Gaussian and Mean curvatures.

Homework Assignments

• Graded homeworks will be returned in class or you can pick them up during office hours.

• Homework #1: Due Wed 9/19
  • Work through the Mathematica tutorial.
  • 1.2.1
  • Write a Mathematica package to calculate curvature, torsion, and the Frenet Frame of a regular curve.
  • 1.3.4, 8, 18, 20
  • 1.4.4
  • 1.5.4, 10, 11
• Homework #2: Due Fri 9/28
  • 2.1.8, 9, 11, 17
  • 2.2.3, 7
  • 2.3.3, 7
  • 2.4.2, 4
• Homework #3: Due Fri 10/5
  • 3.1.3
  • 3.2.1, 2, 4, 5, 6, 8
  • 3.3.3, 4, 8
• Homework #4: Due Mon 10/29
  • 3.4.2
  • 3.5.2
  • 4.2.1, 3, 4
  • 4.3.3
  • 4.4.1, 2
• Homework #5: Due Wed 11/28
  • 5.1.1, 2
  • 5.2.1, 2, 6, 10
  • 5.4.2, 4, 8, 10
  • 5.5.7, 9

Exams

• The final exam is due Wed 12/12 at 9am in my office MCS 234. (Please slide under my door if I'm not there.)