Introduction

The following project studies how one can represent the position and motion of a car using linear algebra.

Background

Plotting graphs in Maple, Matlab, or Mathematica

Project Description

Postscript file

The Report

Introduction and Summary : This section should give a very brief account of the subject matter discussed in your report.

Exercises/Summary of Ideas: Once you have completed the exercises (on scracth paper), you should have a pretty good idea about how you can represent the position and the motion of the car in configuration space. In this portion of your report should present these findings as you might find in a textbook. Describe how you address the above problem, and in this description, give your solution to the 12 exercises described in the project. Use your own words -- do not simply cut and paste the words from the project into your report! You must show me your work and justify your answers.

Conclusion : Give a satisfying concluding comment to your report.

Points

• Mathematical Methodology: Your calculations, approach and procedure in your solution of the exercises should be clear, complete and correct. -- 10 points
  
  
• Clarity of your explanations / summary: It is very important to be able to communicate your solution clearly to non-experts -- 5 points
  
  
• Good Grammar: Grammar, spelling, general professionality of completed document (the spell check is just the beginning....) -- 3 points
  
  
• Mathematical Notation: Use correct mathematical notation in the correct context -- 2 points
  
  
• Extra Credit Any imaginative ideas, background stories, mathematical/artistic additions which extend the topic in some (tasteful) way. -- 3 points
  

References