Minimal surface discovered by Costa

Math 534B Spring 2011

Room/Time: Tuesday, Thursday 12:30-1:45 in MATH 501
Instructor: David Glickenstein
Office: Mathematics 715
Office Phone: 621-2463
Office Hours: TBA
Email: glickenstein@math.arizona.edu

TA: Thomas "Danny" Maienschein
Office: MTL 120Q
Phone: 621-2138
Email: tdm@math.arizona.edu

Printed resources

The books we are using:

Algebraic Topology by Allen Hatcher
Introduction to Smooth Manifolds by John Lee.

Exams

Exam 1: March 3
Exam 2: April 19

Homework assignments

Homework 1. Due 1/20
Homework 2. Due 1/27
Homework 3. Due 2/10
Homework 4. Due 2/17
Homework 5. Due 3/3 (Same day as test, so take an extra day or two if you need, or, even better, turn in early!
Homework 6. Due 3/22
Homework 7. Due 3/31.
Homework 8. Due 4/12. (Note new due date!)
Homework 9. Due 4/21
Homework 10. Due 5/3

Lecture notes

Fundamental group. Last updated January 26, 2011.
Van Kampen's theorem. Last updated February 1, 2011.
Covering spaces. Last updated February 24, 2011.
Homology. Last updated April 7, 2011.
Cohomology. Last updated April 29, 2011.

Math 534A Fall 2010

Room/Time: Tuesday, Thursday 12:30-1:45 in MATH 501
Instructor: David Glickenstein
Office: Mathematics 715
Office Phone: 621-2463
Office Hours: Tuesdays 2-3 (in Math 220, upper division tutoring room), Wednesdays 3-4 (in Math 715), Fridays 10-11 (in Math 715)
Email: glickenstein@math.arizona.edu

TA: Thomas "Danny" Maienschein
Office: MTL 120Q
Phone: 621-2138
Email: tdm@math.arizona.edu

Syllabus

The syllabus is available here.

Printed resources

The book we are currently using is:

Introduction to Smooth Manifolds by John Lee.

Other books of note:

Calculus on Manifolds by Spivak
A Comprehensive Introduction to Differential Geometry Vol. 1 by Spivak
Topology and Geometry by Bredon.
Manifolds, Tensor Analysis and Applications by Abraham, Marsden, and Ratiu
An Introduction to Differentiable Manifolds and Riemannian Geometry by Boothby.

Exams

Exam 1 will be October 12.

Homework assignments

Homework 1. Due 8/31.
Homework 2. Due 9/7.
Homework 3. Due 9/14.
Homework 4. Due 9/23.
Homework 5. Due 10/7.
Homework 6. Due 10/21.
Homework 7. Due 11/4.
Homework 8. Due 11/18.
Homework 9+. Assorted due dates.

Lecture notes

Chapter 1: Smooth manifolds. Last updated September 2, 2010.
Chapter 2: Smooth maps. Last updated September 21, 2010.
Chapter 3: Tangent spaces. Last updated September 29, 2010. Note: these are not very good notes, so be forewarned.

Last updated April 29, 2011