Course  Assignments 
                           

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Homework Assignments:

The problems below will be collected and graded. Homework should be neat, fully worked out in detail, in order, and stapled. All homework should be turned in on time for full credit! Projects are described below.

HW # Sec. Problems Due
1 12.1 1 3 9 13 16 17 20  
 

12.2

4 6 9 11 15 19 20 23 24 35

8/21

2 12.3 2 3 6 11 15 20 36 39 45 56  
  12.4 1 5 8 10 15 22 27 33 36 50

8/25

3 12.5 2 5 7 12 19 24 36 52 71 
  12.6 3 5 8 11 12 21-28 29 31 33  

8/31

4 13.1 3 4 8 10 17 28 31 33-35  
  13.2 3 4 9 10 17 18 23 33 35 36 57

9/11

   Start Project #1

9/12

513.3 1 2 7 9 17 20 49 51  
  13.4 1 3 5 15 23 37 38

9/14

6 14.1 1 6 10 13 23 25 28 38 46 48  
  14.2 5 8 10 18 23 29 38

9/21

7 14.3 3 4 11 16 21 42 47 53 54  
14.4 1 2 12 17 21 26 28 32 34 

9/27

8 14.5 1 2 5 7 8 16 17 18 21   
  14.6 1 4 7 8 12 17 21 30 34 41 10/02
   Start Project #2 10/02
9 14.7 3 5 7 31 44 46 52  
14.8 3 4 18 44 46 10/09
10 15.1 3 9 10 12 16  19 27 43  
15.2 1 4 8 16 19 46 47 10/17
1115.3 5 6 10 15 18 35  
 15.4 3 7 13    
 15.5 2 5 11  10/20
1215.6 3 6 9 15 20 28 40  
 15.7 3 5 6 8 10 17 23 30 10/25
13  15.8 3 7 10 11 12 17 22 36

 

 15.9 1 2 7 11 14 16 23 10/27
14 16.1 1 2 6 11-14 21 25
16.2 1 2 5 9 16 17 19 20 32 33 11/03
1516.3 3 4 10 12 13 20 23  
  16.4 2 3 7 8 13 19  
 16.5 1 2 12 13 14 23 25 31 11/09
   Start Project #3 11/10
1616.6 5 6 11 19 21 23 26 33 37 39 64  
 16.7 5 11 20 23 26 40 11/16
  1716.8 2 3 9 10 13 16 18  
  16.9 2 4 5 7 10 11 18 27 30 11/20

Project #1  Due Sep 25.

This is your first project. The problem choice is the Applied Projects on page 880. In this problem you will prove Kepler's Laws of Motion. You will work in groups of 2-3 people. You will divide up the work and report your findings in a typed report (MS Word). These will be reports which are typed with double-spacing and 12 pt font. You will be expected to use correct English grammar and punctuation. All equations should be numbered similar to the style in your book. Do not just list the answers, but put everything into proper sentence and paragraph form. The length of your report depends upon any supporting material and what it takes to explain what you have done and the results you have found. This is not a homework assignment, so listing only exercises and answers does not constitute a written report. Pretend that you are submitting a report to your supervisor. The Project components count in the 10% of your final grade called Projects. 

  1. Groups are to be selected as soon as possible. The names are to be submitted  Tuesday, September 12th.
  2. A typed progress report is due September 19th outlining what you have done to that point. This report will count 10 points. Provide as much detail as possible on who is doing what and what you have completed to this point. Part of this report can be a potion of the final report. It will be graded based upon neatness, content and marked progress towards completion of the project.
  3. The final typed report will count 20 points.

Project #2  Due October 16 23.

The problem choice is the Applied Projects on pages 970, 979 or 980. You will work in groups of three people. You will divide up the work and report your findings in a typed report, following the format described above. You will be expected to support your work with appropriate Maple plots. 

  1. Groups will be selected by October 2nd 11th.
  2. Groups will pick their problem at the same time to be approved by the instructor. 
  3. A progress report will be due on October 11th 16th. It will report what progress and results had been obtained to date and the group organization. It will be graded based upon neatness, content and marked progress towards completion of the project. This will count 10 pts.
  4. The final report will be due October 16th 23rd.  This will count 20 pts. 

Project #3 Due November 20.

Use Maple (see Surf1.mws or another 3D plotting tool) to plot the following surfaces for a range of parameters that give a smooth interesting surface. In at least two cases, determine the surface area for a range of u's and v's. Groups will be selected by November 8th. A progress report will be due on November 13th.

  • Helicoid r = (u cos v, u sin v,v)
  • Catenoid r = (-cosh u cos v, -cosh u sin v, u)
  • Catalan's Surface r = (u-cosh v sin u, 1-cosh v cos u, 4 sin(u/2)sinh(v/2))
  • Henneberg's Surface r = (2sinh u cos v-2/3 sinh 3u cos 3v, 2sinh u sin v+2/3 sinh 3u sin 3v, 2cosh 2u cos 2v)
  • Enneper's Surface r = (u-u3/3+uv2, v-v3/3+vu2,u2-v2)
  • Explore some seashell plots. (See Sea Shells - and here)
  • Make up your own parametric surface. Here you can have some fun! Be original and the class can determine which surfaces are the best.

 Report on your findings following previous guidelines for your report.

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E-Mail: Dr. Russell Herman Last Updated: October 15, 2017