# MATH 250A, Fall 2017

### Professor

Elham Izadi ; AP&M 6240 ; 858-534-2638 ;
eizadi@math.ucsd.edu ; Office hours: 14:00-15:00 Mondays and 12:00-13:00 Fridays ;

Lectures: Monday, Wednesday 11:30-12:50 AP&M 7421
### Course description

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

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

Riemannian Geometry, By Manfredo P. Do Carmo.

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:

10/02/2017
10/04/2017
11/08/2017
11/13/2017
11/15/2017
11/20/2017
11/22/2017
11/27/2017
11/28/2017
11/29/2017
12/06/2017
### Homework assignments:

Homework 1: due Wednesday November 1

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 Wednesday November 22

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

Homework 3: due Wednesday January 17

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: Thu Dec 14 13:29:40 PST 2017