Math 120A: General Course Outline
Catalog Description

120A. Differential Geometry. (4) Lecture, three hours; discussion, one hour. Requisites: courses 32B, 33B, 115A, 131A. Course 120A is requisite to 120B. Curves in 3-space, Frenet formulas, surfaces in 3-space, normal curvature, Gaussian curvature, congruence of curves and surfaces, intrinsic geometry of surfaces, isometries, geodesics, Gauss/Bonnet theorem. P/NP or letter grading.
Textbook
    Kuhnel, Differential Geometry, 2nd Edition, AMS
    Book is Subject to Change Without Notice
Schedule of Lectures

Week
Chapter
Topic
1
1
Curves
2
2
Curvation of Curves
3
3
Global Theory of Curves
4 + 5
4
Surfaces
6
5
Examples of Surfaces
7
6
First Fundamental Form
8
7 (omit 7.4)
Curvature of Surfaces
9 + 10
8
Second Fundamental Form

 

Comments

Outline update: P. Petersen, 3/11
(Requisites updated 5/98)
For more information, please contact Student Services, ugrad@math.ucla.edu.
 

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