MA 563: Introduction to Differential Geometry

Announcements

• Check out the summer program in analysis and geometry at Princeton University. The deadline is Feb 15.
• Regarding Euler's formula V - E + F = 2, Wikipedia says that it was rigorous proven by Cauchy. However, the formula was evidently due to Euler in 1750 which is after Newton and, hence, Calculus.
• The deadline for the final exam has been extended!
• Check out the great IAS/PCMI summer program in geometry and topology from June 25 to July 15, 2006. Apply for funding for the undergraduate program here by Feb 15.
• Another summer math institute but at Cornell University. Funding is available. Deadline is Mar 1.
• Homework solutions are on reserve in the Science-Engineering Library.
• Some important dates.

General Course Information

• Instructor: Takashi Kimura
• Office: MCS 234
• Phone: (617)353-1486
• Office Hours: MF 2-3, W 3-4
• Lecture: MWF 11-12 in MCS B23

Course Materials

• Course Description/Syllabus
• Mathematica snapshot from Lecture on 10/19/2005 .
• Please download the following Mathematica tutorial (a Mathematica notebook file) onto your machine and then open it from within Mathematica and work through the examples as indicated.

Exams

• The midterm exam is due at 5pm Fri 10/21 at my office.
• The final exam is due at noon Fri 12/16 at my office.

Homework Assignments

• Homework #1: Due Wed 9/21
  • Chapter 1: 15
  • Chapter 2: 7, 8, 10, 14, 19
• Homework #2: Due Wed 10/5
• Chapter 3: 2
• Chapter 4: 2, 6, 7, 8, 10, 13, 16
• Homework #3: Due Wed 11/16
• Chapter 6: 1, 8, 12, 18, 24
• Chapter 7: 3, 8, 11
• Homework #4: Due Fri 12/9
• Chapter 7: 15
• Chapter 8: 2, 7, 10,15, 16