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Course:UCSC Math 121A
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| Department | UCSC Math |
|---|---|
| Course code | 121A |
| Title | Differential Geometry |
This course has been taught in the following classes:
Prerequisite(s): Course:UCSC Math 21 and Course:UCSC Math 23B and (Course:UCSC Math 100 or Course:UCSC CS 101)
Topics include Euclidean space, tangent vectors, directional derivatives, curves and differential forms in space, mappings. Curves, the Frenet formulas, covariant derivatives, frame fields, the structural equations. The classification of space curves up to rigid motions. Vector fields and differentiable forms on surfaces; the shape operator. Gaussian and mean curvature. The theorem Egregium; global classification of surfaces in three space by curvature.
