DUE Date

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

7 Dec  Mon 
Final Project Presentations
our assigned time is 35:30. Mandatory to pass the class.

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3 Dec  Thur 
Read Relativity by David Brink
on ASULearn
Skim Selections from 8.5 on Curvatures: p. 412  Exercise 8.4.9 on p. 413,
p. 416421, and
p. 425 starting at "To end this section"429

1 Dec  Tues 
Test corrections (turn in original test too)
Work on the final project
Use class time as a research day to work on the final project.
I will be in the class to help, as an open office
hour, although you may work from elsewhere, and I'll be in office hours as
posted and on the forums as usual.

24 Nov  Tues 
Homework 7: Research and Investigate a Metric Form
Topics are approved on firstcomefirstserved basis on the whole class discussion forum on ASULearn
Alcubierre metric or warp drive metric: Aneisy, James and Robert
Antide Sitter metric: Josh Huffstetler
EddingtonFinkelstein metric: Anna
FriedmannLemaitreRobertsonWalker (FLRW) metric: Ian
Godel Metric: Ben
Kerr metric: Josh Cox
KerrNewman rotating charged Black Hole metric: Daniel and Kelcey
ReissnerNordstrom metric: Matt and Zach
Schwarzschild metric: Janie
TaubNUT metric: Callum
Wormhole metric: Sam

19 Nov  Thur 
Read How to Create Your Own Universe in Three Easy Steps
by Lawrence Brenton. Math Horizons April 2011, pp. 59.
on ASULearn
Continue working on Homework 7

17 Nov  Tues 
Read p. 397 A Glimpse at Higher Dimensions, and p. 409411 Christoffel Symbols
Read through Homework 7 and write down
any questions. Begin working on the homework.
Topics are approved on firstcomefirstserved basis on the whole
class discussion
forum on ASULearn

12 Nov  Thur 
Continue thinking about a
Final Project
topic
Read p. 124126 A Formula for Gauss Curvature, and
5.2 The Geodesic Equations starting on p. 215the pictures opposite p. 218.



10 Nov  Tues 
Test 2 on Surfaces study guide

5 Nov  Thur 
Read through the Final Project
and write down any questions. Start thinking about a final project topic.
Study for test 2 via the
study guide
and write down any questions you have.
Use class time as a study day for test 2.
I will be in the class to answer any questions, as an open office hour,
although you may study from elsewhere, and I'll be in office hours
as posted and on the forums as usual.

3 Nov  Tues 
Read 5.4 Surfaces not in R^3 starting on p. 226 Exercise 5.4.10 on p. 230
and write down any questions
5530 students:
Choose two terms in the surfaces
glossary
to post on ASULearn. First come first served.

29 Oct  Thur 
Homework 6: Research and Investigate a Surface
Topics are approved on firstcomefirstserved basis on the whole class
discussion forum on ASULearn
Enneper's surface  Aneisy, Anna and Russell
Helicoid  James and Robert
Hyperboloid of 1 sheet  Matt and Zach
Hyperbolic paraboloid  Janie
Kuen's surface  Ian
Mobius strip  Josh H.
Pseudosphere  Daniel and Kelcey
Scherk's surface(s)  Sam
Torus  Callum and Ben

27 Oct  Tues 
Read through A Quick Introduction to NonEuclidean
Geometry by Bob Gardner, focusing especially on the last page,
and write down any questions.
Continue working on homework 6

22 Oct  Thur 
Begin working on homework 6
Read p. 275  277 (stop at Definition 6.1.6) and write down any
questions.

20 Oct  Tues 
Read p. 8486 and 88, 107, 111, Example 3.2.8 on p. 112114,
and Figure 4.4 on p. 169, and
write down any questions

13 Oct  Tues 
Homework 5: Flat Donuts and Round Donuts

8 Oct  Thur 
Read 2.2 p. 7980,
2.3 p. 8687,
and p. 212215 in 5.1 and write down any questions
Begin working on Homework 5

6 Oct  Tues 
Read through 2.1 and the first page of 2.2 (on p. 77)
and write down any questions
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
next week)
Test corrections

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

29 Sep  Tues 
Read p. 67 and p. 209 in the book and write down any questions
Begin working on Homework 4

24 Sep  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. 248250 in the book, but don't worry about the Maple code.

22 Sep  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.



17 Sep  Thur 
Test 1 on Curves study guide

15 Sep  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.

10 Sep  Thur 
Homework 3: More Curves

8 Sep  Tues 
Read p. 3435 in 1.5 and begin working on Homework 3.
5530 students:
Choose two terms in the glossary on curves
to post on ASULearn. First come first served.

3 Sep  Thur 
Read 1.2, 1.3 and
How Flies Fly: Kappatau Space Curves by Rudy Rucker,
and write down any questions you have.

1 Sep  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

27 Aug  Thur 
Skim through homework 1 solutions on ASULearn,
including the Maple commands I used for plotting.
Read the Curves reading on ASULearn
by Dogan Comez, myself and Jill Thomley
and prepare to discuss it.
Continue working on homework 2.

25 Aug  Tues 
Search google for Dr. Sarah, click on my page, and click on the
4140/5530 link and then read through the Syllabus
Write down any questions.
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 else you want me to know
On ASULearn add a picture of yourself (Profile) so that it is easier to get to know each other.
Begin working on homework 2 (9/1 due date).
5530 students:
Choose two terms in the review glossary
to post on ASULearn. First come first served.
You can claim a term by posting something for it, and then add more later.
I've put up curvature as a sample, although you may use your own style.

20 Aug  Thur 
Homework 1: Review.
I am happy to help in office hours or as an ASULearn forum message.
You may wish to review
concepts via web pages such as:
Paul's
Online Calculus III Notes,
Jeff Knisley's Multivariable Calculus Online,
or
Carlos Rodriguez's Multivariate Calculus
Purchase the textbook, which is available in the bookstore:
Differential Geometry and Its Applications
(Classroom Resource Materials)
The Mathematical Association of America Edition in 2007 [The
one with "The Bat" surface on the cover]
John Oprea, 469 pp., hardbound, 2007
ISBN: 9780883857489
Purchase the iclicker from the bookstore [if you have one from the past or
another class, one suffices], and bring it to all classes

18 Aug  Tues 
First day of class
