MATH 622, Differential Geometry I,
Spring 16
Syllabus
Some supporting material
Homework assignment 1 , due Feb 4, Warner p.50 problems 1,2,3,5,6 (the problem 6 is bonus question, you can get other 25 points for it)
Extra credit assignment, due Feb 9: instructions: submit
the detailed proofs of Lemma 1.9, p.9 and Theorem 1.11, p.10-11
of Warner, including some points that are not explained in the
book such as
1. Page 9, line 14 from the top: The fact that X is Hausdorff and
locally compact implies that this subcollection is itself a basis.
2. Page 10 line 5 from the top" This collection of open sets is easily
seen to be a countable, locally finite refinement of the open cover...
and any other point where you feel more details has to be given.
Extra credit assignment on Grassmannains, due Feb 11
Homework assignment 2, submission is postponed to Feb 23
Homework assignment 3, due March 8
Please read the section Tensors and Exterior Algebras, pages 54-62,
from Warner ; we will discuss this right after Spring break but I
recommend you already to start to try to solve the problems for
the next homework
Homework assignment 4 , due March 29, Warner p.77 problem 2, p. 78 problems 9, 10, p.79-80 problem 12, 13, and bonus 20 points problem 14.submission is postponed to March 31.
The midterm exam will take place on Tuesday , April 5, 4p.m-6 p.m. THE ROOM FOR THE TEST WILL BE BLOCKER 220 .
The material consist of Chapter 1 and the first section of chapter 2
(i.e the section of ''Tensor and Exterior Algebras'', subsections
2.1-2.13). Please read my email for more information.
Special office hours for the midterm exam will take place on Monday, April 4 from 11 a.m. till 2 p.m. in my office.
Homework assignment 5, due April 14, submission is postponed to April 19, PROBLEM 11 from page 78 of Warner is postponed to the next homework.
Homework assignment 6, due May 3