Calculus Lab
Fall 2008

A laboratory to investigate ways in which the computer can help in understanding the calculus and in dealing with problems whose solutions involve calculus. No programming required; a variety of existing programs will be used. Prerequisite or corequisite for Mathematics 235: Mathematics 225;

There is no required text for this course.
Course Syllabus and Schedule

Lab 1: Introduction to Latex and Maple

Week 1 (Sep 3/4)
Week 2 (Sep 10/11)
Week 3 (Sep 17/18)
- Introduction to Maple (From the online Calc Book)
- (Handout from Class) Intro to Maple
  (Get the Maple GUI set up with some options that are different than the default options)
- (Handout from Class) Homework Questions in Maple (2d page) and What to turn in before class next week

Lab 2: Series Representations

Week 4 (Sep 24/25)
- Addition to the Syllabus: Discussion of Group Work
- LateX Sample: Inserting a Figure (sample_figures.tex) (Be sure to right-click the link, then "Save Link As...")
- Latex Sample (PDF version)
- Maple Commands for Today's Lab
- The Second Lab (PDF version)
Week 5 (Oct 1/2)
- Grading Rubric for Lab 2 (in PDF)
(Lab Due at Beginning of class, Week 6)

Lab 3: A Sequence of Books

Week 6 (Oct 8/9)
- The Lab
- The figure file (in EPS)
- The figure file (in JPG)
- Sample Material:
  - Sample Lab
  - Sample Write Up
Week 7 (Oct 15/16)
- Rubric for Lab 3

Lab 4: Multivariate Calculus and Clairaut's Theorem

Week 8 (Oct 22/23)
Week 9 (Oct 29/30)
Continue Working: Focus is Clairaut's Theorem today
Week 10 (Nov 5/6) (Due at the beginning of the next session)
Grading checklist is here (PDF)

Lab 5: Ants on a Doughnut

Week 11 (Nov 11/12)
- Groups for Lab 5
- Intro to Lab 5
- The Lab (in PDF). This week, our focus is on how to represent surfaces in parametric form. We will (hopefully) finish by deriving the equations of the torus.
Week 12 (Nov 19/20)
- This week, we'll work on understanding the paths on the surface, and look at arc length. Start writing up some results for after break.
Week 13 (After break, Dec 3/4)
- Continue writing, get into new groups if you like.
- Here is the Maple file from before break:
  Maple file: PathFromNov.mw
- Here is the Group Assessment assignment from class:
  Groups for the Wednesday Section
  Groups for the Thursday Section
Week 14 (Dec 10/11)
- Last Lab session- Prizes awarded today!
- Grading Rubric and Comments for your Write Up

Using LaTeX on your own computer

The most recent version of "The Not So Short Introduction to LaTeX 2e" is here. It will be more recent than the copies we have in the Lab, but our copies will suffice. (About 2.2MB)

You will need several programs to have the complete LaTeX system on your home computer. (1) The compiler will actually translate the TeX file into a DVI file. This is the main piece of software. (2) You will need software to view and print the DVI and Postscript files. (3) You need a nice editor for creating the TeX files (and debugging your files). A nice feature here will be buttons for creating and viewing the DVI file, a spellchecker, and some GUI elements to help you out.
Here are some recommendations for software:

For Macs:

TeXShop. This is the editor, and it has recommendations for how to get the underlying LaTeX compiler.
You will also need a postscript file viewer. You can download MacGSview from here.

For Windows:
- MikTeX is the Compiler for Windows. There is an installer on the website that will put the software on your computer for you.
- TeXMaker is the editor we use in the Math Lab.
- Ghostview and Ghostscript are programs to handle postscript files. These are available for download from http://pages.cs.wisc.edu/~ghost
  Download and install Ghostscript first.

Calculus LabFall 2008