Lecture:

Lectures: On Mondays, 15:15-17:00, in Room 401, Snellius

Classes: Sept 4, 11, 18, 25, Oct 6 (Friday 11-12:45 replacing the TA session instead of Oct 9), 16, 30, Nov 6, 13, 20, 27, Dec 4, 11

There will be videos (from Covid times) available about the material. Link here .

In addition to the Lectures, there are discussion sessions run by the TAs on Fridays, 11:00-12:45 in Room 405 in Snellius.

The TAs: Amira Tlemsani and Nikolas Adaloglou.  Email: n.adaloglou@math.leidenuniv.nl 

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

Exam:

Exam: Jan 10, 9:00-12:00, in Snellius 412

Retake exam: Jan 31, 13:15-16:15 in Snellius 401

Mock exam: MockExam 

Office hours:

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

Textbook:

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

Notes about the material: Lecture Book 

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, geodesics, Gauss-Bonnet theorem

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

Grading:

20% homework, 80% 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 misconduct 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.