DUE Date
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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.
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| 7 Dec - Mon |
Final Project Presentations
our assigned time is 3-5:30. 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. 416-421, and
p. 425 starting at "To end this section"-429
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| 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.
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| 24 Nov - Tues |
Homework 7: Research and Investigate a Metric Form
Topics are approved on first-come-first-served basis on the whole class discussion forum on ASULearn
Alcubierre metric or warp drive metric: Aneisy, James and Robert
Anti-de Sitter metric: Josh Huffstetler
Eddington-Finkelstein metric: Anna
Friedmann-Lemaitre-Robertson-Walker (FLRW) metric: Ian
Godel Metric: Ben
Kerr metric: Josh Cox
Kerr-Newman rotating charged Black Hole metric: Daniel and Kelcey
Reissner-Nordstrom metric: Matt and Zach
Schwarzschild metric: Janie
Taub-NUT metric: Callum
Wormhole metric: Sam
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| 19 Nov - Thur |
Read How to Create Your Own Universe in Three Easy Steps
by Lawrence Brenton. Math Horizons April 2011, pp. 5-9.
on ASULearn
Continue working on Homework 7
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| 17 Nov - Tues |
Read p. 397 A Glimpse at Higher Dimensions, and p. 409-411 Christoffel Symbols
Read through Homework 7 and write down
any questions. Begin working on the homework.
Topics are approved on first-come-first-served basis on the whole
class discussion
forum on ASULearn
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| 12 Nov - Thur |
Continue thinking about a
Final Project
topic
Read p. 124-126 A Formula for Gauss Curvature, and
5.2 The Geodesic Equations starting on p. 215-the pictures opposite p. 218.
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| 10 Nov - Tues |
Test 2 on Surfaces study guide
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| 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.
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| 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.
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| 29 Oct - Thur |
Homework 6: Research and Investigate a Surface
Topics are approved on first-come-first-served 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
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| 27 Oct - Tues |
Read through A Quick Introduction to Non-Euclidean
Geometry by Bob Gardner, focusing especially on the last page,
and write down any questions.
Continue working on homework 6
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| 22 Oct - Thur |
Begin working on homework 6
Read p. 275 - 277 (stop at Definition 6.1.6) and write down any
questions.
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| 20 Oct - Tues |
Read p. 84-86 and 88, 107, 111, Example 3.2.8 on p. 112-114,
and Figure 4.4 on p. 169, and
write down any questions
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| 13 Oct - Tues |
Homework 5: Flat Donuts and Round Donuts
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| 8 Oct - Thur |
Read 2.2 p. 79-80,
2.3 p. 86-87,
and p. 212-215 in 5.1 and write down any questions
Begin working on Homework 5
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| 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
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| 1 Oct - Thur |
Homework 4: Intrinsic Geometry of Cones
If you have a ball or something else spherical, bring that with you.
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| 29 Sep - Tues |
Read p. 67 and p. 209 in the book and write down any questions
Begin working on Homework 4
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| 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. 248-250 in the book, but don't worry about the Maple code.
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| 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.
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| 17 Sep - Thur |
Test 1 on Curves study guide
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| 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.
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| 10 Sep - Thur |
Homework 3: More Curves
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| 8 Sep - Tues |
Read p. 34-35 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.
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| 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.
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| 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
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| 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.
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| 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 non-academic 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.
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| 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: 978-0883857489
Purchase the i-clicker from the bookstore [if you have one from the past or
another class, one suffices], and bring it to all classes
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| 18 Aug - Tues |
First day of class
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