Differential Geometry
Math 423, Fall 2018

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Course Details

Lectures: MWF 9:00-9:50, 445 Altgeld Hall

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

Office & Telephone: Illini Hall 326, 265-6710

Office Hours: Wed 10:00--11:00, Fri 10:00--11:00 or by appointment.

Textbook: Barrett O'Neill, Elementary Differential Geometry, REVISED Second Edition, 2006, Academic Press (Elsevier). FREE online version is available from the campus library website.

Course Description
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Grading Scheme

20% Weekly Homework

20% Midterm 1, In class on Friday Sept. 28

Solutions for Midterm 1 (class average 35/40)

20% Midterm 2, In class on Friday Nov. 2

Solutions for Midterm 2 (class average 45.7/53)

40% Final Exam, 1:30-4:30, Tuesday, Dec. 18 in 445 Altgeld Hall


Homework Sets and Solutions

  • Homework 10, Solutions

    From the Text: 6.7 #2, #3, #4, #5     6.8 #5, #6

  • Homework 9, Solutions

    From the Text: 6.2 #1, #2     6.4 #1, #2, #4, #8, #14

  • Homework 8, Solutions

    From the Text: 5.4 #1, #2, #3     5.7 #1, #3, #5, #6     6.1 #2, #3

  • Homework 7, Solutions

    From the Text: 5.1 #3, #4, #6, #7     5.2 #1b, #3     5.3 #3, #4

  • Homework 6, Solutions

    From the Text: 4.5 #2, #8     4.6 #1, #2, #4, #7, #9,     5.1 #2

  • Homework 5, Solutions

    From the Text: 4.3 #1, #5, #6, #7, #8     4.4 #3, #4, #7

  • Homework 4, Solutions

    From the Text: 3.1 #3, #6     3.2 #3 (the map C in the book is our map F_C from lecture)     4.1 #1, #4, #5, #8, #9

  • Homework 3, Solutions

  • Homework 2, Solutions

  • Homework 1, Solutions

    1.1 #3     1.2 #2, #4     1.3 #1c, #3abcf     1.4 #2, #7, #8     1.5 #1, #3, #4ab, #5a, #6ab, #7, #8, #9