# MATH 250A, Fall 2019

### Professor

Elham Izadi ; AP&M 6240 ; 858-534-2638 ;
eizadi@math.ucsd.edu ; Office hours: 16:00-17:00 Mondays and 15:30-16:30 Fridays ;

Lectures: Tuesday, Thursday 9:30-10:50 AP&M 7321
### Course description

This is the first quarter of the introductory sequence in Differential
Geometry. We will cover some of Do Carmo's
book, as time permits.
### Prerequisites

Familiarity with Linear Algebra, Topology and advanced Calculus.
### Text

Riemannian Geometry, By Manfredo P. Do Carmo.
### Supplemental reference

Introduction to Smooth Manifolds, By John M. Lee
### Presentations

This course will feature student
presentations. It is well known that the best way to learn
something is to explain it to others. When we present something to
others, we have to think about it in many different ways and look
at it from different angles. Giving presentations is very
difficult, which is why, when you give presentations, I will not
judge your performance, but will help you learn
the material in the best way possible and also help you learn
how to give presentations. This is a skill that will be very useful in
many different contexts, regardless of what your career goals
are. Any comments will not affect your grade, but will help you learn.
### Some class notes:

09/26/2019
10/01/2019
10/03/2019
10/08/2019
Patrick's notes
Yupei's notes
Rongxuan's notes
Zeyu's notes
Gongping's notes
Finn's notes
Alex's notes
Kevin's notes
Gaojin's notes
Shubham's notes
Woonam's notes
11/26/2019
12/03/2019
Robi's notes
12/05/2019
### Homework assignments:

Homework 1: due Tuesday October 22, in class

Chapter 0 of Do Carmo, #2, 3, 5, 6, 8, 9, 10, 12. If you would like
more practice, you can also do the other exercises from this
Chapter. They are all good. I have just picked the ones I like
best. In general, it is a good idea to read all the exercises
even if you don't do them: there are useful results in them.

Homework 2: due Tuesday November 19, in class

Chapter 1 of Do Carmo, #1, 2, 3 ; Chapter 2 of Do Carmo, #1, 2, 3, 4, 7

Homework 3: due Monday December 9

Chapter 3 of Do Carmo, #1, 2, 3, 4

### Note that some adjustment to the above might be necessary during the quarter.

Elham Izadi
Last modified: Fri Dec 6 13:15:59 PST 2019