MAT 362 Differential Geometry, Spring 2011

Instructors' contact information

Course information

"Online applets" can be found here.

Take-home exam

Take-home final exam, due Thursday, May 19, at 2:15 PM. Please read the directions carefully.

Handouts

Overview of final projects pdf
Notes on differentials of C¹ maps pdf tex
Notes on dual spaces and the spectral theorem pdf tex
Notes on solutions to initial value problems pdf tex

Topics and homework assignments

Assigned homework problems may change up until a week before their due date.
Assignments are taken from texts by Banchoff and Lovett (B&L) and Shifrin (S), unless otherwise noted.

Topics and assignments through spring break (April 24)
Solutions to first exam
Solutions to second exam
Solutions to third exam

April 26-28: Parallel transport, geodesics. Read B&L 8.1-8.2; S2.4.
Homework due Tuesday May 3:

• B&L 8.1.4, 8.2.10
• S2.4: 1, 2, 4, 6, 11, 15, 20
• Bonus: Figure out what map projection is used in the graphic here. (A Facebook account is not needed.)

May 3-5: Local and global Gauss-Bonnet theorem. Read B&L 8.4; S3.1.
Homework due Tuesday May 10:

• B&L: 8.1.8, 8.4.5, 8.4.6
• S3.1: 2, 4, 5, 8, 9
• Project assignment: Submit final version of paper electronically to me BY FRIDAY MAY 13.

May 10: Hyperbolic geometry. Read B&L 8.5; S3.2.
No homework this week.

Third exam: May 12 (in class)

Take-home exam: due May 19 (at presentation of final projects)

For older course pages, go here.

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