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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 241B
Xianzhe Dai
2.9
110 reviews
Fall 2024 . Wink M
HSSB 1207
T R
11:00 AM - 12:15 PM
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MATH 240A Dai X Z Fall 2023 Total: 13
MATH 240A Dai X Z Fall 2022 Total: 6
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110
2.9
MATH240A . 20 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.

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147 . 5 Months Ago

He was an amazing lecturer who really wanted everyone to succeed, you could tell he cared so much about all of his students. He was really helpful in office hours and gave homework hints during lecture. The homework was super hard, midterm was chill, final was brutal but fair if you did all of the homework/went over examples from lecture.

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147a . 5 Months Ago

I really really like this professor. His lectures were really nice and he made the material approachable. It is a pretty difficult course and you definitely need to spend time outside of class reading the textbook and understanding the material, but the midterm/final were both very fair, though challenging.

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147a . 3 Years Ago

Almost failed his class, dropped halfway through, took it with another professor later and got A. Gives trivial examples in class while homework seem like rocket science. This guy is too busy to accommodate students for extra office hours. Had other classes during his office hours so I had no chance to ask him questions, consequently the near fail.

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147a . 3 Years Ago

hypocritical

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MATH8 . 5 Years Ago

Very clear lecture notes. Lots of homework but exams are not that hard as homework.

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