Differentiable Manifolds I
Math 518, Fall 2012

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Course details       Grading scheme       Homework assignments and solutions


Course Details

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 here.

Course Description
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Grading Scheme

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).
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