Various topics are covered including sectional curvature and Ricci curvature, minimal submanifolds, Atiyah-Singer index theorem and eta invariant, Einstein manifold, symplectic geometry, geometry of gauge theories, geometric PDE, Morse theory and Floer theory.

Prerequisites: Mathematics 240A-B-C.

4

Units

Optional

Grading

1, 2, 3

Passtime

None

Level Limit

Letters and science

College
Xianzhe Dai
2.9
108 reviews

Lecture

HSSB 1206
T R
12:30 PM - 13:45 PM
6 / 20
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MATH 241B Dai X Z Winter 2020 Total: 1
MATH 241B Dai X Z Winter 2019 Total: 0
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108
2.9
147a . 1 Year, 11 Months 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.

0 helpful 0 unhelpful
147a . 2 Years Ago

hypocritical

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MATH8 . 4 Years Ago

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

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MATH4A . 5 Years Ago

Math major. Took this as my first math class at UCSB. I didn't do well for the midterm, but I studied hard for the final and got an A. After taking a lot of math courses, I think he is one of the several professors that explain things clear and organized. If you want to get an A, just do all the homework and all the recommended exercises!

1 helpful 0 unhelpful
MATH4A . 5 Years Ago

do not take his class

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MATH4A . 5 Years Ago

The lectures and homework teach enough to pass, but you'll want to go to CLAS to get an A/B. The exams are much harder than the homework and the textbook is horrible so it's hard to study, but if you go to CLAS and keep up with homework you should be fine. He's an average lecturer, not amazing but not horrible.

1 helpful 1 unhelpful
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