Math 1312 - Calculus II - Spring 2001                                         
"Challenge 98" Project
Exercise 1: Checking Integration Results

This assignment is due Wednesday, February 28, 2001.

The Mathematics Computer Lab is located at Bell Hall 130, and open during usual business hours, at least. All the Macintosh computers including the IMacs should habe Mathematica installed.  If Mathematica is available to you somewhere else, you don't have to work in Bell Hall.
Start by opening a web browser (preferably Netscape). Go to my  homepage at http://helmut.knaust.info/classes.html
Under our class heading, find "Exercise 1" of the Challenge 98 Project. Click on it to download this notebook.

Step 1

Start by reading the introductory page (click, or point your browser to http://helmut.knaust.info/challenge98/index.html.)
At the bottom of the introductory page is a link called "A Short Introduction to Mathematica". Follow the link and read the page. At the bottom is a link to "Introduction.nb". Follow this link. Another Mathematica notebook will open (it is located at http://helmut.knaust.info/challenge98/nb/Introduction.nb.) 
After you have worked through that notebook, return to this notebook.

Step 2

Fill in your names and execute the command below.

\(name[1] = "Jane A. Doe"; 
name[2] = "John B. Doe"; 

    name[3] = ""; 

    Print["Problem ", 
      m1 = Mod[Apply[Plus, ToCharacterCode[name[1]]] + 
				
            Apply[Plus, ToCharacterCode[name[2]]] + 
            Apply[Plus, 
				ToCharacterCode[name[3]]], 37], 
      "	Problem ", m1 + 37, "	Problem ", m1 + 74]; \)

You will work with these three problems above from our textbook, Chapter 7, Focus on Practice, (pages 373-374). 
As a fourth function you will consider:

f[x_] = 2/(3 - x^2)

Compute the indefinite integral of each of these four functions by hand.
Then check your answers using the notebook Integration.nb. (If this hyperlink does not work, point your browser at http://helmut.knaust.info/challenge98/toc.html, and look for the file "Introduction.nb".)

Step 3

You should turn in the following items:
1.) Your by-hand calculations.
2.) "Proof" that your answers and Mathematica's coincide. Create a new notebook, copy and paste your "proofs", (save the notebook on a floppy-if available) and print it out. Don't forget to include the name/problem command from above. Try to keep paper waste to a minimum.
3.) Good luck! I am available at Bell Hall 219, tel. 747-7002, email: helmut@math.utep.edu1.) Your by-hand calculations.