Topics include geometry of surfaces, manifolds, differential forms, Lie groups, Riemannian manifolds, Levi-Civita connection and curvature, curvature and topology, Hodge theory. Additional topics such as bundles and characteristic classes, spin structures, and Dirac operator, comparison theorems in Riemannian geometry.

No Prerequisites

4

Units

Optional

Grading

1, 2, 3

Passtime

None

Level Limit

Letters and science

College
Unlocks MATH 241C MATH 241A
T B A
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Lecture
HSSB 1207
T R
11:00 AM - 12:15 PM
8 / 20
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MATH 240A Dai X Z Fall 2023 Total: 13
MATH 240A Dai X Z Fall 2022 Total: 6
MATH 232A
10 / 20 Enrolled
Algebraic Topology
Jon McCammond 4.5
T R
14:00 PM - 15:15 PM
MATH 241A
6 / 20 Enrolled
Topics in Differential Geometry
Ye R
T R
12:30 PM - 13:45 PM
MATH 246A
13 / 25 Enrolled
Partial Differential Equations
Jacobs M A
T R
14:00 PM - 15:15 PM