Math 136: Differential Geometry of Curves and Surfaces

Monday, Wednesday- Friday, 12 - 1:00pm, Science Center 507

Course website: math.harvard.edu/~tcollins/Math136.html



Instructor:

Tristan Collins
Email: tcollins at math dot harvard dot edu
Office: Science Center 233

Office Hours:

Wednesday and Thursday 2-3:00pm

Course Assistant:

Denis Turcu
Section: Tuesdays, 5-6pm, SC 411
Office Hours: Wednesdays, 5-6pm, SC 411

How To Study Math:

FIGHT IT! .

Syllabus

The Syllabus for the course is available here .



Progress

This is approximate. All references are to the course text by Wolfgang Kuhnel. For the material to be covered, see the Syllabus above.

Date Reading Homework
Aug. 30, Sept. 1 2A-2C of Kuhnel: Local theory of plane and space curves

Sept. 6, 8 2C, 2D of Kuhnel: The Frenet Equations and the Fundamental Theorem of Curves Homework 1
Sept. 11-15 2D, 3A of Kuhnel: Curves and Parametrized Surfaces Homework 2
Sept. 18-22 3B of Kuhnel: Curvature of surfaces Homework 3
Sept. 23- 27 3B of Kuhnel: Curvature of surfaces Midterm 1
Oct. 2- 6 3B, 3D of Kuhnel: Curves on surfaces, geodesics Homework 4
Oct. 9- 13 3D of Kuhnel: Minimal Surfaces Homework 5
Oct.16- 27 4A, 4B of Kuhnel: Intrinsic geometry, the covariant derivative Homework 6
Oct. 30- Nov. 10 4B, 4C, 4F of Kuhnel: Gauss Equatio, the Theorem Egregium and Gauss-Bonnet
Nov. 13- Nov. 17 5/6 of Kuhnel: Differential Geometry
Nov. 20 - Dec. 1 Relativity Homework 7