Problems 1,2,7,10 Pages No Exam next Thursday. Pset 4 will be due on That said, the work you hand in must be your own. Problems 2,7,10 Pages These are optional and informal. Page 66, problems 6 and 7.

Spend that time thinking deeply. Homework is due at the beginning of class on Thursdays. Students who may need accommodations because of a documented disability should meet with me privately within the first week of classes. The suggested textbooks are 1 Guillemin-Pollack, Differential Topology 2 Spivak, Calculus on manifolds 3 Lee, Introduction to smooth manifolds 4 Milnor, Topology from a differential viewpoint see also Milnor videos We will use primarily 1 and 2. Office hours Tuesdays, Thursday. You will not need any of the books for the class but it could be handy to have a few different references to supplement the lectures. The 6B bus drops off in front of my house.

Ragged margins, multi-column and otherwise over-dense formats, and unstapled sheets are unacceptable. If you guillemij that there is an impending religious holiday, it is your responsibility to make arrangements to submit homework early.

Due on Thursdays in Class. Sadly, it will be a disposable cup affair as much as I hate hurting the environment and lowering the class of the event. Problems 6,10 no need to do 8,9 Page The suggested textbooks are 1 Guillemin-Pollack, Honework Topology 2 Spivak, Calculus on manifolds 3 Lee, Introduction to smooth manifolds 4 Milnor, Topology from a differential viewpoint see also Milnor videos We will use primarily 1 and 2.

Problem 7 no need to do 6 Prepare for Exam on May 3rd by redoing all old problems you may have missed, reviewing class notes, and doing additional practice problems. New final exam posted. Second semester compiled notes, with table of contents. Page 32, 5, 7, 10 Page 38, 7, 8, 9, Pageproblems 3, 4, 6, 7, 9, 10, Tuesday 12pm-2pm and Thursday 1pm-2pm, room BA Classroom changed to allow for higher class enrollment.

Late assignments will absolutely not be accepted without documented physical or traumatic cause, so please, hand in whatever you have at the deadline.

# MA ‘s Home Page

Page 18, 2, 3, 4, and 9. Pageproblems 10, 11, 14, 17, Pset 6 updated with new problem.

I’ll update them again I suspect. Manifolds, tangent spaces, derivative, inverse function theorem, submersions, immersions, transversality, Preimage Theorem, homotopy, stability, Sard’s Theorem, Morse functions, Whitney Embedding Theorem, tangent bundle, manifolds with boundary, intersection theory mod 2, oriented manifolds, oriented intersection theory, degree of a map, Brouwer Degree Theorem, vector fields, vector fields on spheres, Euler solutlons, Poincare-Hopf Index Theorem, Gauss map, exterior algebra, digferential forms, exterior derivative, Stoke’s theorem, cohomology, Thom’s cobordism ring, and genera.

## Spring 2007

Term exam 1 November 18 2hrs duration. Tuesdays,in Room 17 Eckhart Hall, and by appointment.

Homework is to be turned in to my office or mailbox by 4: September 25, in class. I’ll allow you to drop your lowest assignment grade in the final grade of th first semester. The formulas for v 1v 2 and n should involve partial derivatives of f x,ynot of F x,y which doesn’t even make sense, since F is a function of x,y,z.

Homework 10 due Friday, April 15 is a series of exercises embedded in part 1 of the lecture notes on differential forms. Religious holidays are not an excuse for late homework! Added more stuff aside from lecture material.

Problems 2,5,9,10, Extra Credit: Call my cell if you get lost.

# Math Differential Geometry | David Shea Vela-Vick

We also have fall break and no class the following Tuesday. Homework must be neat, well-organized, and legible. The first one will be on September 6th. If you tend to scratch out or erase incorrect parts of solutions, do a rough draft or type your homework.

Problems 2,7,10 Pages Pset 4 will be due on