Date |
WORK DUE at the beginning of class or lab
unless otherwise noted!
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May 14 - Tues |
- WebCT tests 3, 4 and 5 retakes due by 12 pm.
- Final Worksheet is DUE at 12 pm.
You must bring 5 paper copies of the worksheet and the goals.
I will photocopy these for you if they are given to me
before 11am.
In addition, you must send me your computer files as attachments
to [email protected]
so that they can be posted here on the web.
- Educational experience will occur from 12-2pm. Lunch will
be provided, but bring something to drink.Apollo 13 and
gimbal lock. Go over and then do worksheets:
Four-Dimensional Art
by Alisha Volaric
Perpendiculars by Amber Constant
Crochet the Hyperbolic Plane
by John Aubuchon
Isometries of Tone Structures by Dot Moorefield
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May 8 - Wed |
- WebCT test 5 on
Geometry and Number Theory and
Rotations and the Space Shuttle
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May 6 - Mon |
- Suggestions for improvement of your classmate's worksheet DUE at
5pm along with completion of the worksheet.
Use these guidelines to
help you. Give your work to Dr. Sarah
as your efforts will be graded.
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May 3 - Fri |
- Second draft of classroom worksheet is due -
swap your worksheet with someone else in the class.
See Monday for assignment.
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May 1 - Wed |
- Bring your worksheet to class on disk and also
send it to yourself as an attachment on pipeline so that you
can work on it in class after the test.
- WebCT test 4 on
Computer Learning to Diagnose and Categorize
and Geometry and Probability
- be sure that you know the proof that
the dot product of 2 vectors is equal to the
product of their norms times the cosine of the angle between them,
and the proof of Buffon's Needle.
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Apr 29 - Mon |
- First draft of classroom worksheet is due by 5pm
along with a list of goals that you have for the worksheet.
Use these guidelines.
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Apr 24 - Wed |
- WebCT test 3 on brain, relativity, drum, and biology
- WebCT test 2 retakes due by 11:55pm
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Apr 22 - Mon |
- Professional looking
Beachball activity DUE at 11:55pm
as a Word attachment e-mailed to
[email protected]
As part of this process, fix up the equations and spacing and
write an introduction to the worksheet that places it in the context
of spherical geometry so that it can be a self contained activity.
(Recall that I was trying to limit the sheet to 1 double sided page, and
that I wanted to place it on the web as text, and so I sacrificed
professional writing guidelines in order to do so.)
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Apr 12 - Fri |
- The assigned reference from Geometry at Work p. 144-145
is [6], [12], [20], or [34]. When this is available,
bring it to Dr. Sarah.
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Apr 10 - Wed |
- Revisions on the abstract for your article due by 5pm.
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Apr 5 - Fri |
- Finish rest of brain article
- Prepare brief (1-2 min) presentation on what you found
when you searched on the web for the relationship between geometry
and physics or relativity.
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Apr 3 - Wed |
- Using the
abstract guidelines
(see also the handout and examples of MathSciNet reviews),
type up an abstract for your Geometry at Work article.
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Mar 25 - Mon |
- Final version of the 3D
Homer letter due. Be sure that your letter contains an introduction
that discusses the fact that Homer disappeared behind the wall and that
while this seems impossible, because there isn't enough space for this
to happen in 2D, it is possible in the 3rd dimension.
Be sure that you use proper spelling, grammer and phrasing.
Include a description of the 3rd dimension or z-axis.
Include a description of a cube and explain that while it seems that
it intersects itself in 2D, in 3D this does not happen (except at the
vertices) since there is enough space in the new dimension for it to fit
without intersecting. Include a descripiton of some space obtained by
glueing the edges - for example a torus, and explain that while the figure
can't be glued in 2D, there is room to perform the glueing in 3D.
Contrast Homer and Bart's 2-d and 3-d appearances.
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Mar 22 - Fri |
- Find 1 bibliographic entry from the article you chose from
Geometry at Work (interlibrary loan if necessary), go get it,
and photocopy the 1st page for me.
- In class, search for and if necessary
order the reference assigned to you
from Geometry at Work p. 144-145
[6], [12], [20], or [34]. When this comes in,
pick it up and bring it to Dr. Sarah.
If it is in the library, go photocopy it and bring it to Dr. Sarah
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Mar 20 - Wed |
- Test 2 on the shape of the universe.
- Test 1 retakes due.
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Mar 18 - Mon |
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Mar 8 - Fri |
- Skim through this
Is Space Finite? reading again.
- Find 6 articles total: 3 articles from MathSciNet (include the MR #)
and 3 articles
on the web that are not on MathSciNet --
1 of each type on a spherical universe, 1 of each type on a Euclidean
universe, and 1 of each type on a hyperbolic universe.
Type up a correct bibliography containing all 6 of your articles.
In addition, keep track of how you successfully searched for your
articles (including the words used) and turn that in separately.
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Mar 4 - Mon |
- Using the bibliographic directions that I hand out, type up a
bibliographic entry for your chosen article in Geometry at Work.
- Review readings and class notes on the universe.
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Mar 1 - Fri |
- 3D Homer letter
due at 5pm
- Choose an article in the Geometry at Work book that you are interested
in pursuing
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1st come first served.
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Feb 13 - Wed |
- Test 1 on the geometry of the earth, euclidean geometry and
hyperbolic geometry.
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Feb 11 - Mon |
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Feb 8 - Fri |
- Final draft of Euclid's propositions
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Feb 6 - Wed |
-
Extra credit:
Create a right triangle in the sketchpad hyperbolic disk.
Calculate a^2 + b^2 and compare it to
c^2. Does the Pythagorean theorem ever hold in the hyperbolic disk?
Explain your investigations on sketchpad.
- Extra credit from the beachball activity
- Review all material
Feb 1 - Fri |
- Bring a light color or see-through ball (sphere) to class that you
will be able to draw on with permanent marker.
- Due by 5pm. Choose 2 propositions from Euclid's Book I (from the handout) -
not I-1, I-3, I-4, I-32, or I-47. One of the propositions must be a construction
and the other must be a proposition that is not a construction.
Prove your propositions using only the preceeding propositions, axioms,
defined terms and common notions. Be sure to give proper reference
if you use other sources.
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Jan 29 - Tues |
- Extra credit talk at 4pm in room 304 -
Electronic and Paper Library Resources for Mathematical Sciences
by Jeff Hirst
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Jan 25 - Mon |
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Jan 25 - Fri |
- Final draft of geometry of the Earth due by 5pm
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Jan 23 - Wed |
- Show that x=cos(theta)sin(phi), y=sin(theta)sin(phi), z=cos(phi)
satisfies x^2 + y^2 +z^2=1, the equation of the surface of a sphere.
- Use the formula for the
area of a surface of revolving f about the x axis --
Integral 2 Pi f(x) sqrt(1+ (f'(x))^2 ) dx -- with f(x) = sqrt(1-x^2)
to calculate the surface area of a slice of a sphere. Relate back to the
last geometry of the earth question.
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Jan 18 - Fri |
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