Dr. Sarah's Math 3510-410 Web Page - Spring 2002

  • Class highlights Includes a day to day overview and activities that were completed in class or lab.
  • Dr. Sarah's Office Hours
  • Syllabus and Grading Policies
  • Course Description
  • Dr. Holly Hirst's Writing Mathematics Guidelines includes information about Microsoft Word's Equation Editor
  • Campus Pipeline To access WebCT (bulletin board, online quizzes and grades)
  • MathSciNet Search
  • DUE Dates

    Date     WORK DUE at the beginning of class or lab unless otherwise noted!

    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 greenwaldsj@cp.appstate.edu 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

    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.

    May 3 - Fri
    • Second draft of classroom worksheet is due - swap your worksheet with someone else in the class. See Monday for assignment.

    May 1 - Wed
    1. 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.
    2. 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.

    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.

    Apr 24 - Wed
    1. WebCT test 3 on brain, relativity, drum, and biology
    2. WebCT test 2 retakes due by 11:55pm

    Apr 22 - Mon
    • Professional looking Beachball activity DUE at 11:55pm as a Word attachment e-mailed to greenwaldsj@cp.appstate.edu 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.)

    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.

    Apr 10 - Wed
    • Revisions on the abstract for your article due by 5pm.

    Apr 5 - Fri
    1. Finish rest of brain article
    2. 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.

    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.

    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.

    Mar 22 - Fri
    1. 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.
    2. 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

    Mar 20 - Wed
    1. Test 2 on the shape of the universe.
    2. Test 1 retakes due.

    Mar 18 - Mon
    Mar 8 - Fri
    1. Skim through this Is Space Finite? reading again.
    2. 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.

    Mar 4 - Mon
    1. Using the bibliographic directions that I hand out, type up a bibliographic entry for your chosen article in Geometry at Work.
    2. Review readings and class notes on the universe.

    Mar 1 - Fri
    1. 3D Homer letter due at 5pm
    2. Choose an article in the Geometry at Work book that you are interested in pursuing - 1st come first served.

    Feb 13 - Wed
    • Test 1 on the geometry of the earth, euclidean geometry and hyperbolic geometry.

    Feb 11 - Mon
    • Build hyperbolic models

    Feb 8 - Fri
    • Final draft of Euclid's propositions

    Feb 6 - Wed
    1. 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.
    2. Extra credit from the beachball activity
    3. Review all material
    Feb 1 - Fri
    1. Bring a light color or see-through ball (sphere) to class that you will be able to draw on with permanent marker.
    2. 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.

    Jan 29 - Tues
    • Extra credit talk at 4pm in room 304 - Electronic and Paper Library Resources for Mathematical Sciences by Jeff Hirst

    Jan 25 - Mon
    Jan 25 - Fri
    • Final draft of geometry of the Earth due by 5pm

    Jan 23 - Wed
    1. 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.
    2. 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.

    Jan 18 - Fri