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Department of Mathematical Sciences

Math 394R - Fall 2007: Worksheets


Some Useful UNIX Command and Workstation info:
Non-Java Version of Maple 11 on UNIX  xmaple -cw filename.mws &
Workstation screen/login problems? "Control" and "Alt" then "Backspace" twice
To printer in Wil 1-144 lab (BROKEN!!!!!)  lpr -Plablex   filename
To printer in Wil 1-145 lab  lpr -Plab2lex   filename
To look at a "PDF" file in UNIX  acroread filename.pdf &

Assignment Grading Procedure: 
When I grade the assignments I will do so in a manner which mimics how Mathematicians get reviewed for grant applications to NSF (National Science Foundation). That means you will get a short written critique of your worksheet with a summary of the point assignment above. In the real world, such grant reviews are often frustratingly vague, sometimes complementary or just plain mean. You can expect the same from my writeup for you. I realize this may not be a very fun way of receiving a "grade" but it will prepare you for the real world should you ever write papers or apply for grants in the future - math or otherwise. Unlike NSF grant reviews, the grant proposal (your assignment) will be returned with color coded marks and comments on it (see above table). You will only receive my critique - one short paragraph. For an example, click on the sample below:


Every Assignment will have a total score of 100 points. The points will be allocated in three categories:

Correctness 70 Points Red pen color
Ingenuity 20 Points Green pen color
Annotation 10 points Purple Pen color
Total 100 points Your review report

On your assignments there will we + and - scores in colored pens to indicate where I took off or added points for each category.

 Assignments - to be graded: 
  1. Assignment 1 due no later than Thursday September 27 in class. 
  2. Assignment 2 due no later than Tuesday October 16 in class (Will be returned Nov 6)
  3. Assignment 3 due no later than Tuesday November 20 in class
    1. NSF GUIDELINES SITE HERE
    2. Multivariate Calculus Worksheet - to review parts of multivariate calculus to do with curves in space concerning
      • position, velocity, speed, acceleration
      • normal and tangential components of acceleration
      • How to define a "FUN" function for "SPEEDFREAKS" on the slopes.
      • more soon
    3. Bobsled Worksheet - completes b) above with showing how one determines the distance travelled. For a bobsled run, the cost to build such a run might be proportional to its length, for instance. Other topics included are:
      • kinetic energy with 2 holonomic constraints (bobsled)
      • total energy 
      • deriving an equation of motion
      • solving differential equations with "dsolve"
      • converting the equation of motion into a system of equations
      • numerically solving the system for a specific time.
      • An introduction to DEtools package
    4. Minimal Expectations: For Assignment 3, I want to be very clear about what my minimal expectations are: 
      • You need to define a mountain whose height is h(x,y) as a function or an expression.
      • You should have a graph of the mountain with one or more potential bobsled runs on the same figure! This is a graphical problem similar to one I requested on Assignment 2 (Problem #2).
      • For (each) the bobsled run you should compute the numerical solution of the equations of Motion and using DEtools (which I'll talk about today).
      • You should have some plots of various relevant velocity, acceleration, distance travelled, fun factor curves for your bobsled run(s). 
      • You need to describe how you go about designing an actual "ski" run.
      • You need to include a "budget" with projected costs.
      • You need to address issues in the NSF guidleines. A couple of short paragraphs.
      • Beyond that I consider "initiative".
    5. Last day there were questions about unrealistic speeds for the bobsled runs. I have examined this and without friction included that WILL be the case. What we have all learned is how important friction is to skiing! What I suggest you do is make sure your units are in feet for a mountain of 3-4 thousand feet high with an approximate 10 degree slope overall (somewhat realistic for Bridger mountain for instance). As a "future work" writeup in you proposal try to make (reasonable) remarks about how you might include "friction". I will say more about this in class today. Lastly, we will continue to explore the use of DEtools today. Hopefully we will finish this by this coming Thursday.
    6. Continue integrating Bobsled "New" Worksheet - with your project.

In class projects and worksheets: 
  1. Sept 4      Was the in class worksheet for Aug 30 and Sept 4.
  2. Sept 6      Was a continuation of the September 4 in class worksheet.
  3. Sept 11    Was a continuation of the September 6 in class worksheet.
  4. Sept 13    First finish the Sept 11 worksheet and then begin working on Assignment 1.
  5. Sept 18    Was a continuation of the September 11 in class worksheet.
  6. Sept 20    Continue with section 1.3.4 until it tells you to stop and/or do Assignment 1.
  7. Sept 25    Continue with section 1.3.4 until it tells you to stop and/or do Assignment 1.
  8. Sept 27    Finish printing Assignment 1, completeing 1.3.4 and start Assignment 2. 
  9. Oct 2        Complete section 1.3.4 of the modified worksheet and/or work on Assignment 2.
  10. Oct 4        Continue to complete 1.3.4 and then work on Assignment 2
  11. Oct 9        Finish Assignment 2.
  12. Oct 11      Finish Assignment 2.
  13. Oct 16      Complete 1.3.4, 1.4, 1.5 and 1.6 of this updated worksheet.
  14. Oct 18      Complete 1.3.4, 1.4, 1.5 and 1.6 of this updated worksheet and then start working                on Assignment 3. I will lead you through all of that in class and out.
  15. Oct 23      Work on Assignment 3.
  16. Oct 25      Work on Multivariate Calculus Worksheet.
  17. Oct 30      Work on Bobsled worksheet.
  18. Nov 1       Continue to work on Bobsled worksheet and integrate into your Assignment 3.
  19. Nov 6       Continue to work on Bobsled "New" Worksheet
  20. Nov 13     Assignment 3
  21. Nov 15     Assignment 3  (let me know what your final project is and if in teams and who)
  22. Nov 18     Some final ideas for the bobsled problem BOB.mws
  23. Nov 20     Final Project  (MAKE THEM VERY VERY SHORT!!!!)
  24. Nov 22     Thanksgiving (and grading for me)
  25. Nov 27     Richard Swanson will fill in for me while I am in Belgrade doing a Mathematical                    Biology talk to High School Students (HS for a Dya Program). He will help with                      yourFinal Projects and knows Maple pretty well.
  26. Nov 28     Final Project 
  27. Dec 4       Final Project
  28. Dec 6       Initial Presentations
  29. Dec 7       I am unavailable 8-10am
  30. Dec 13     Last of Presentations
  31. Dec 17     Grades posted?




 


View Text-only Version Text-only Updated: 11/20/2007
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