MATH 250B, WINTER 2018


Elham Izadi ; AP&M 6240 ; 858-534-2638 ; ; Office hours: 14:00-15:00 Mondays and Fridays ;
Lectures: Monday, Wednesday 11:30-12:50 AP&M B412

Course description

This is the second quarter of the introductory sequence in Differential Geometry. We will continue covering Do Carmo's book with help from the books by Lee and Gallot, Hulin, Lafontaine




Riemannian Geometry, By Manfredo P. Do Carmo.
Introduction to Smooth Manifolds, By John M. Lee
Riemannian Geometry, By Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine


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.
Please prepare your presentations carefully. In particular, please write detailed notes for your presentations. It is usually a good idea to have a rehearsal with some of your friends/classmates before your presentation.

Some class notes:

01/08/2018 01/10/2018 01/17/2018 01/24/2018 01/29/2018 01/31/2018 02/07/2018 02/12/2018 02/14/2018 02/26/2018 02/28/2018

Homework assignments:

Homework 1: due Wednesday January 17
Chapter 3 of Do Carmo, #1, 2, 3, 4

Homework 2: due Wednesday April 18
Chapter 4 #1,2, Chapter 5 #1,2, Chapter 6 #1,2, Chapter 7 #1,2, Chapter 8 #1,2

Note that some adjustment to the above might be necessary during the quarter.
Elham Izadi Last modified: Thu Mar 29 18:08:27 PDT 2018