Math 2250-3
Differential Equations and Linear Algebra
Fall term, 2003

Maple Projects and handouts

Send e-mail to :
Professor Korevaar
Nathan Albin
Kazuma Shimomoto

Links:
2250-3 home
Department of Mathematics




Class notes
    2250dec1.mws  2250dec1.pdf  Playing the resonance game with Laplace and Maple
    2250nov24.mws  2250nov24.pdf  Laplace transform and partial fractions on Maple
    2250nov19.mws  2250nov19.pdf  Ziggy's spring system mystery - earn your bonus points here!
    2250nov17.mws  2250nov17.pdf  Using Maple to solve spring systems
    2250nov14.mws  2250nov14.pdf  Applying first order systems of DE's to study a glucose-insulin model and a multi-tank system.
    2250nov12.mws  2250nov12.pdf  Existence and uniqueness for the initial value problem: why you expect it. Also, phase portraits for the mass-spring and rigid rod pendulum.
    2250oct29.mws  2250oct29.pdf  Solving and visualizing differential equations in Maple.
    2250sept17.mws  2250sept17.pdf  Maple linear algebra
    2250sept10.mws  2250sept10.pdf  Exploring numerical methods for solving first order differential equations
    2250sept8.mws  2250sept8.pdf  Calculation sheet for linear drag model for falling objects
    2250sept3.mws  2250sept3.pdf  Comparing simple exponential growth vs. the logistic model on actual U.S. population data
    2250aug27.mws  2250aug27.pdf  Separable differential equations
    2250aug22.mws  2250aug22.pdf Maple and pdf version of notes on slope fields.


Maple Project III This project is taken from study of earthquakes shaking buildings in section 7.4 of the text, pages 437-438. Here is the precise assignment, with coding hints:
    2250quaketest-F2003.mws 
    2250quaketest-F2003.pdf  

Maple Project II This project is about mechanical vibrations, sections 5.4-5.6 of the text. This theory underlies fairly sophisticated models which seek to explain what went wrong with the tacoma narrows bridge. Everything lives at
    tnarrows 

Maple Project I   This project has two parts. In part 1a you are asked to explore Maple a little bit, by solving some equations and plotting some functions. Part 1b is the SLC version of the Newton law of cooling project in section 1.5 of the text. Thanks to Professor Gustafson for writing the documents below.
   You should create separate files for each part, with answers clearly exhibited and text explanations as necessary. You may wish to begin with the .txt files below, and modify them in Maple as you work through the project. You will be handing in hard copies of the files. For our section (2250-3) this project is due on Friday September 12, but getting started on 1a ASAP would be a good idea.
   2250mapleL1a-F2003.pdf   Directions and hints for 1a - read on-line or print out.
   2250mapleL1a-F2003.txt   A little bit of Maple code to get you going on part 1a. Save this file and open from Maple as "Maple text", and in "text" format. After you insert Maple prompts you can cut and paste the various commands to try them out.
   2250mapleL1b-F2003.pdf   Directions and hints for 1b
   2250mapleL1b-F2003.txt   Starting Maple code for 1b


Tutorial:
    2250falltut.mws   Tutorial for Math Lab and Maple, including an introduction to project 1. This is the Maple Worksheet version; save it with your browser and then open it from Maple.
    2250falltut.pdf   version to print out, or view from your browser using Adobe Acrobat Reader; cannot be opened from Maple.


Downloads
   The University maintains a great page with links to downloadable software, including Adobe Acrobat Reader (to read .pdf files), and free secure telnet and ftp software so you can access Math and University servers from home. Have a look at this page, you might find something you need.
www.utah.edu/uwebresources/software/index.html