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