1505 maple homework

These are meant to encourage partnerships in the class and familiarize students with Maple as a tool, not as a graded activity. Have fun. bob will give you feedback on your submtted assignments.

Homework problems marked by an asterisk * on the homework log page are to be done using MAPLE with a partner (or two or three partners). Save each chapter's problems in a single worksheet (with all partners' full names inside the worksheet at the top with date) as  "MAPLE sections" with a section title labeling the problem (as in 3.1.2 for Stewart chapter 3 section 1 problem 2 or CLM 2.4.1 for the CalcLabs with Maple problems)  on your personal hard drive or network space (each partner keeps a copy for safety) until requested to submit the chapter worksheet the week following chapter completion. You may work individually on any given problem if successful, but must meet, discuss and merge your work with a fixed partner(s) for a given maple worksheet collection of assignments. Try to put in comments that explain what you are doing in your worksheet, rather than just listing a series of maple inputs and outputs.

Follow the instructions of the textbook problem, unless a template is provided with internal instructions. [Template worksheets for specific problems can be copied with select all and pasted into a section in your own worksheet.]

Here is a template file to get started. Save it and open it up in MAPLE: lastname1-lastname2-maple5.mw
Add a new section for each problem in future worksheets. Be sure to use text mode [ T icon on the toolbar, no prompt at beginning of the line].

SUBMISSION INSTRUCTIONS:
Worksheet submission will be done as an email attachment where the filename is:
lastname-lastname-lastname-maplex.mw
and the subject header is:
[mat1505] lastname-lastname-lastname-maplex.mw
where the last names of all partners are listed (separated by hyphens) and x stands for the number (chapter) of the maple assignment as given below.
[This helps me organize my 1505 mail folder so I cannot fail to see you submitted a worksheet even if a partner emailed it, and helps me organize my 1505 file folder where the worksheet attachments are extracted.]
Include the partners as email recipients using the CC option so that I can REPLYALL with the graded commented worksheet attached.

Everyone must have a partner (or two) unless agreed upon in advance with bob because of extenuating circumstances. [You may change partners on different assignments. If you have no partner you either get full credit or no credit since only those people who have no trouble with maple can consider doing it alone.]

Consult the Maple tips page when necessary: Maple tips page.

"Upgradable" after the grade [0/2, 0.5/2, 1/2, 1.5/2, 2/2] means you can correct your worksheet based on my comments and resubmit it for a better grade. I will help you in person if you do not understand how to correct any problem. It is easy to do well on this grade input, if not initially, then by getting help from me.

Remember, you may come to my office for consultation on any problem, or request preliminary help via email (attach worksheet and explain what is not working) if you are stuck on something.

[MAPLE sections can be inserted empty and later filled, using the INSERT menu, choose Section, then insert a section title, or one can select a region of a worked problem with the mouse and hit the second icon after the maple prompt icon [the indent icon] to enclose the region in a section, and then give it a title.]

maple5.mw (due anytime during week 3 and the weekend after):

• 5.R.64* [use template [forget parts a,b, graph C, then C, S together on interval -10..10, solve the condition c) for the first positive solution showing the graph of C together with the constant function 0.7 on the interval 0..1 which contains it (click on gridlines) since there are an infinite number]
  You can use this template: lastname-lastname-maple5.mw to get started, with one section for each of the two Maple problems.
  18* [Use Maple to evaluate this definite integral in a second section in our worksheet, just to prove you can enter a definite integral and evaluate it.]

maple6.mw (due ):

• 6.AppliedProject: Where to Sit at the Movies* (after 6.5) (p 465). Assume the result of part 1 (just trigonometry), then do parts 2-4 to get a real life example of an average viewing angle. Here is a worksheet maple6.mw to accomplish this.

maple7-8.mw  (due the week  ):

• 7.7.23* use template problem 24 here template problem 24 here;
• 7.8.66*: Use Maple to evaluate the integral, simplify by combining terms for WebAssign, then plot together on the same axes both the original density x(r) and the perceived density function y(s) setting R = 1   for 0 <= s <= 1 (equivalent to using the dimensionless varaiables u = r/R and S = s/R). . [r and s both measure the same thing!]
  This is an improper integral but the antiderivative is continuous so one can just plug in the limits. This is what Maple does.
  
  To plot 2 expressions with different named variables together without making Maple functions of each do:
  > with(plots): p1:=plot(x,x=0..1,color=red); p2:=plot(y^2,y=0..1,color=blue); display(p1,p2) 
  To display two separate plots using different named variables, do:
  > f(x):=x; g(y):=y^2; plot([f(x),g(x)],x=0..1,color=[red,blue])
  
• 8.1.3*
• 8.5.21*.Use Maple to answer each part of the problem. Graph the distribution by setting a₀ = 1, equivalent to measuring length in units of that lengthcale. Find the exact radius of the maximum of the distribution in terms of a_0.

maple11.mw  (not to be handed in):

• 11.6: 50* (this problem mentions William Gosper calculating 17 million digits of Pi! and shows dramatically how using an efficient series representation pays off; > Digits:=20 is needed for part b) which looks at accuracy in the teens of digits; Digits:=10: returns to the default; if you want to be amazed, evaluate the first 10 terms of the series as in this worksheet; use Maple to evaluate the limit in the ratio test).
  
  Some helpful commands (you can also use the expression Palette for limits and infinity and summation, etc.
  > a := n->sin(n)/n;
  > plot([seq([n,a(n)],n=1..100)],style=point);
  > limit(a(n),n=infinity);
  to create a table of numerical values:
  > array([seq([n,evalf(a(n))],n=1..100)]);
  to evaluate exactly:
  > Sum(a(n),n=1..infinity); value(%); evalf(%);

maple9.mw due by the end of exam period? maybe this will not be required to be submitted

•  Here is a past set of Maple assignments: homeworkmpl04S.htm.