DUE Date

Dates are subject to change and additional homework will
fill in what is listed. DUE at the beginning of class.

10 May  Thur 
Final Project Presentations
our assigned time is 24:30. 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. 853855 on
ASULearn and work on the Final Project Presentations.
If you have a laptop, tablet or cell, bring it with you.

26 Apr  Thur 
Homework 7: Research and Investigate a Metric Form: Create a Video

24 Apr  Tues 
Read How to Create Your Own Universe in Three Easy Steps
by Lawrence Brenton. Math Horizons April 2011, pp. 59
on ASULearn and continue working on Homework 7.
If you have a laptop, tablet or cell, bring it with you.

19 Apr  Thur 
Read 8.3, 8.4, and 8.5 on Covariant Derivative, Christoffel Symbols, and Curvatures
p. 401429
ebook 9781614446088.

17 Apr  Tues 
Read 8.1 and 8.2 on Manifolds p. 397401
ebook 9781614446088,
choose a topic for Homework 7 on ASULearn and begin working on that assignment as well as homework for Thursday.



12 Apr  Thur 
Test 2 on Surfaces study guide

10 Apr  Tues 
Read portions of Section 5.2 on The Geodesic Questions and the Clairaut Relation
beginning on p. 215219, and p. 223
ebook 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.

5 Apr  Thur 
Homework 6: Research and Investigate a Surface

29 Mar  Thur 
Read Section 5.4 beginning on page 226 in the
book
and continue working on Homework 6.

27 Mar  Tues 
Read p. 124126, 164, 275  277, and 291292 in the
book
and begin working on Homework 6.

22 Mar  Thur 
Read p. 8486, 88, 9196, 107108, and 111114 in the
book.

20 Mar  Tues 
Homework 5: Flat Donuts and Round Donuts

15 Mar  Thur 
Read 2.2 p. 7980, 2.3 p. 8687, and p. 212215 in 5.1
in the book.
Begin working on Homework 5.

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)

1 Mar  Thur 
Homework 4: Intrinsic Geometry of Cones. If you have a ball or something else spherical, bring that with you.

27 Feb  Tues 
Read p. 236237 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.

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. 247250 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.

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.



15 Feb  Thur 
Test 1 on Curves study guide

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.

8 Feb  Thur 
Homework 3: More Curves

6 Feb  Tues 
Read p. 3435 in 1.5 from the
book
and begin working on Homework 3.

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.

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

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.

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 nonacademic 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).

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: 9780883857489
The ebook 9781614446088 is
available through the library.

16 Jan  Tues 
First day of class
