Differentiable Manifolds I

Math 518, Fall 2012

Math 518, Fall 2012

Course details Grading scheme Homework assignments and solutions

**Course Description ** .

**Lectures: ** TR 11:00-12:20, 137 Henry Administration Building

**Instructor: ** Ely Kerman,
ekerman@math.uiuc.edu

**Office & Telephone: ** Illini Hall 326, 265-6710

**Office Hours: ** Wednesdays 1:00-2:00 or by appointment.

**Textbook:
**John M. Lee,
Introduction to Smooth Manifolds. Springer 2003

You can download the first chapter of the book

** Weekly Homework** (25%)

Assigments and due dates listed below.

** One in-class exam ** (25%)

This will be a take-home exam. It will be distributed on Thursday Oct 11 and taken in on Tuesday Oct 16.

**Comprehensive Final Exam** (50%) 8:00AM to 11:00AM, Tuesday Dec 18

Homework Assignments and Solutions

**Assignment #1**(due Thursday Sept. 6).

From the text: 1-1, 1-5, 1-6.

Solutions.

**Assignment #2**(due Thursday Sept. 20).

From the text: 1-4, 1-7, 1-9, 2-3, 2-10.

Solutions.

**Assignment #3**(due Thursday Oct. 4).

From the text: 3-2, 3-4, 3-5, 3-8, 4-1, 4-2.

Solutions.

**Assignment #4**(due Thursday Oct. 11).

From the text: 4-5, 4-6, 4-7, 4-11, 5-2, 5-3, 5-7.

Solutions.

**Assignment #5**(due Thursday Nov. 1).

From the text: 6-4, 6-5, 6-6 (a) and (b), 6-9, 6-10, 6-13.

Solutions.

**Assignment #6**(due Tuesday Nov. 13).

From the text: 8-1,8-2,8-16,8-18.

Solutions.

**Assignment #7**(due Thursday Dec. 6).

From the text: 11-22, 12-6, 12-7, 13-5.

**Bonus Assignment**(due Tuesday Dec. 18).

From the text: 14-1 and 14-4 (Read Prop 14.7 and Example 14.8 first).