2024 Fall:
2024 Fall:
Curves and Surfaces
Curves and Surfaces
Lectures: On Mondays, 15:15-17:00, in Room BW.0.29, Gorlaeus
Classes: Sept 2, 9, 16, 23, 30, Oct 7, 14, 28, Nov 4, 11, 18, 25, Dec 2, 9
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 Thursdays, 15:15-17:00 in Room BW 0.05 in Gorlaeus.
The TAs: Nikolas Adaloglou, and Mirmukhsin Makhmudov. Email: manifolds24@gmail.com
If you have any questions, do not hesitate to contact us. My email address is hablicsekhm@math.leidenuniv.nl.
Exam: Jan 23, 13:15-16:15, in EM 1.09 in Gorlaeus
Retake exam: Mar 26, 13:15-16:15 in BW 0.05 in Gorlaeus
Mock exam: MockExam
By appointment. Feel free to email me ANYTIME. My email address is hablicsekhm@math.leidenuniv.nl. I reply to any email in one business day.
Manfredo P. Do Carmo: Differential Geometry of Curves and Surfaces
Notes about the material: Lecture Book
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
10% attendance, 25% homework, 65% exam. Homeworks can be found here: Homeworks.
To get the 10% in attendance, you need to be present at least 50% of the lectures and the tutorials together.
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.
The course also has a Brightspace page. Please, register there as well. (as well as in USIS)
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.