DUE Date
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Dates are subject to change and additional homework will
fill in what is listed. DUE at the beginning of class.
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| 10 May - Thur |
Final Project Presentations
our assigned time is 2-4:30. Mandatory to pass the class.
Exam 2 corrections (turn in original test too)
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| 1 May - Tues |
Read Relativity by David Brink. Encylopedia of
Mathematics and Society, pp. 853-855 on
ASULearn and work on the Final Project Presentations.
If you have a laptop, tablet or cell, bring it with you.
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| 26 Apr - Thur |
Homework 7: Research and Investigate a Metric Form: Create a Video
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| 24 Apr - Tues |
Read How to Create Your Own Universe in Three Easy Steps
by Lawrence Brenton. Math Horizons April 2011, pp. 5-9
on ASULearn and continue working on Homework 7.
If you have a laptop, tablet or cell, bring it with you.
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| 19 Apr - Thur |
Read 8.3, 8.4, and 8.5 on Covariant Derivative, Christoffel Symbols, and Curvatures
p. 401-429
e-book 9781614446088.
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| 17 Apr - Tues |
Read 8.1 and 8.2 on Manifolds p. 397-401
e-book 9781614446088,
choose a topic for Homework 7 on ASULearn and begin working on that assignment as well as homework for Thursday.
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| 12 Apr - Thur |
Test 2 on Surfaces study guide
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| 10 Apr - Tues |
Read portions of Section 5.2 on The Geodesic Questions and the Clairaut Relation
beginning on p. 215-219, and p. 223
e-book 9781614446088,
read the Final Project Presentations and begin thinking about a topic for that,
study for test 2 and write down any questions you have. Bring the surfaces glossary with you.
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| 5 Apr - Thur |
Homework 6: Research and Investigate a Surface
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| 29 Mar - Thur |
Read Section 5.4 beginning on page 226 in the
book
and continue working on Homework 6.
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| 27 Mar - Tues |
Read p. 124-126, 164, 275 - 277, and 291-292 in the
book
and begin working on Homework 6.
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| 22 Mar - Thur |
Read p. 84-86, 88, 91-96, 107-108, and 111-114 in the
book.
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| 20 Mar - Tues |
Homework 5: Flat Donuts and Round Donuts
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| 15 Mar - Thur |
Read 2.2 p. 79-80, 2.3 p. 86-87, and p. 212-215 in 5.1
in the book.
Begin working on Homework 5.
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| 13 Mar - Tues |
exam revisions.
Read through 2.1 and the first page of 2.2 (on p. 77)
in the book.
In addition, in 2.4 and 2.5 look at the pictures but ignore the text for now (until we cover the shape operator and first fundamental form E, F, G)
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| 1 Mar - Thur |
Homework 4: Intrinsic Geometry of Cones. If you have a ball or something else spherical, bring that with you.
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| 27 Feb - Tues |
Read p. 236-237 in the book (note E, F, G are for first fundamental form, which we will investigate later), and the
ASULearn reading on
isometric spaces and coordinate patches. Continue working on Homework 4.
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| 22 Feb - Thur |
Read the Surfaces reading on ASULearn. Look
up pictures of any surfaces mentioned there that you are not familar with,
and take notes (or highlight) any terms that are mentioned in both the
article and the glossary on surfaces.
Read p. 247-250 in the book, but don't worry about the Maple code, and then p. 209 for the intuition. Skim 1.6 beginning on page 38. Begin working on Homework 4.
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| 20 Feb - Tues |
Open your eyes to surfaces in our world.
Find, either in person or in a picture, a surface which interests you
and be prepared to share where it arises and what significance it has. Begin working on homework for Thursday.
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| 15 Feb - Thur |
Test 1 on Curves study guide
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| 13 Feb - Tues |
Find as many people as you can related to the creation of the
Frenet formulas and the years of their contributions, including
Bartels, Darboux, Frenet, Pagani, and Serret.
Study for test 1 and write down any questions you have. Bring
the curves glossary with you.
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| 8 Feb - Thur |
Homework 3: More Curves
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| 6 Feb - Tues |
Read p. 34-35 in 1.5 from the
book
and begin working on Homework 3.
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| 1 Feb - Thur |
Read 1.2, 1.3 in the
book,
and
How Flies Fly: Kappatau Space Curves by Rudy Rucker,
and write down any questions you have.
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| 30 Jan - Tues |
Homework 2: Curves
Maple Applet spacecurve.mw that calculates the
Velocity, Acceleration, Jerk, Speed, ArcLength, Curvature, and Torsion
Maple Applet TNBapplet.mw
that animates the Frenet Frame
Both of these files are by past graduate student Nathan Crowder
Note: If your screen can't see the curvature and torsion buttons, then here is a
Maple Applet spacecurvecurvaturetorsion.mw
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| 25 Jan - Thur |
Skim through homework 1 solutions on ASULearn, including the plots.
Read the Curves reading on ASULearn and prepare to discuss it.
Continue working on homework 2.
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| 23 Jan - Tues |
Google Dr. Sarah, click on my page, and click on the
4140 link and then read through the 4140 Syllabus or 5530 Syllabus
Read section 1.1 in the
book,
and write down any questions you have.
On ASULearn and send me a posting in the private forum (only you and Dr. Sarah): what you would like to be called (your nickname / first name); your phone number; your major; any additional academic concentrations/minors;
what you might like to do as a career; your non-academic interests
and hobbies; anything that I should know about you so that I can best meet your needs as a student/understand you better; anything else you want me to know
On ASULearn add a picture of yourself (click on your name, Edit Profile) so that it is easier to get to know each other.
Begin working on homework 2 (1/30 due date).
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| 18 Jan - Thur |
Homework 1: Review.
The textbook is available at the bookstore:
Differential Geometry and Its Applications by John Oprea
MAA 2007 edition [The one with "The Bat" surface on the cover], ISBN: 978-0883857489
The e-book 9781614446088 is
available through the library.
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| 16 Jan - Tues |
First day of class
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