Lecture:

The lectures will be online. See Lectures.

Classes: Sept 1, 8, 15, 22, 29; Oct 6, 13, 27; Nov 3, 10, 17, 24; Dec 1, 8

In addition to the Lectures there are LIVE discussion sessions run by the TAs on Mondays, 11-13 starting September 7. Kaltura room link: https://smart.newrow.com/#/room/zcj-781.

If you have any questions, do not hesitate to contact us. My email address is mhablicsek@gmail.com, the TAs email address is differentiable.manifolds.1@gmail.com.

Exam:

Exam: Dec 14-18 (take home exam) Exampage

There will be a Retake exam (more information later)

Office hours:

By appointment. Feel free to email me ANYTIME. My email address is mhablicsek@gmail.com. I reply to any email in 24 hours.

Textbook:

Manfredo P. Do Carmo: Differential Geometry of Curves and Surfaces

Material:

1. Multivariate differentiation: implicit function theorem, inverse function theorem

2. Curves: Parametrized curves, curvature, canonical form and global properties of plane curves

3. Surfaces: Regular surfaces, tangent planes, fundamental forms, orientation, Gauss-map, parallel-transport, geodesics, Gauss-Bonnet theorem

4. Introduction to Topological Manifolds: Classification of surfaces, Whitney's embedding theorem

Grading:

20% homework, 80% exam (except in the case of the retake exam, it will be 10% homework and 90% exam). Homeworks can be found here: Homeworks

The homework score will be the average of the scores on the homework sets except that the two worst homework scores will be ignored.

Cheating and other academic misconducts will not be tolerated.

Brightspace:

The course also has a Brightspace page. Please, register there as well. (as well as in USIS)

Anonymous feedback:

If you have any questions/comments/concerns, feel free to write an anonymous comment (see below) or send an email to mhablicsek at gmail dot com.