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 241A MATH 241C
DAI X Z
Xianzhe Dai
2.6
177 reviews
AI predicted, based on past grading trends of the course and instructor, class info, and 127 other factors
Fall 2025 . Dai X Z
HSSB 1211
M W F
11:00 AM - 11:50 AM
Fall 2024 . Wink M
HSSB 1207
T R
11:00 AM - 12:15 PM
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MATH 240A Dai X Z Fall 2025 Total: 15
MATH 240A Dai X Z Fall 2023 Total: 13
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177
2.6
MATH240A . Dai X Z 21 Years Ago

Small class, professional invironment. Lectures are rather introductory and supplementary for a lot of reading and exersizing (what is good for me). The course is extremely difficult unless you are fluent in algebra, analysis, and topology.

0 helpful 0 unhelpful
MATH4A . Dai X Z 28 Days Ago

He has an accent and is a little quiet, so it's difficult to understand him at times. He's nice and caring if you go up to ask for help, but a lot of self-studying is needed to do well on the final.

0 helpful 0 unhelpful
MATH4A . Dai X Z 29 Days Ago

This class was pretty hard, online midterm was easy, final was difficult. If you do all homework, go to lectures, and don't fall behind, you will get an A.

0 helpful 0 unhelpful
MATH4A . Dai X Z A Month Ago

The homework and two online midterms were easy to get 100 on, but I had to teach myself basically everything. The final was in person and much harder than the midterms. Many people were cheating but for those that completed the test in good faith, the grading was very nice.

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MATHA . Dai X Z A Month Ago

Two online midterms thats easy to get 100%. Final is very bad, which is basically a row reduction test involving impossible fractions (literally heard people sighing when taking it). Professor is nice but has heavy accent. Questionable exam proctoring with people literally cheating which results in the class being unfair and having minimal curve.

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MATH4A . Dai X Z 2 Months Ago

Don't choose his class, don't! Very very bad class and you will study nothings. You will all study by yourself for this class and I think the professor doesn't know English. Moreover, final exam count 60 percent of GPA and it's super super difficult. It's random number in Matrix for you to calculate. Even it can't calculate by humans.

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