Maple Resources at Washington University (and Beyond)


Index

1. Instructions For Downloading
2. Plotting Tutorials
3. Calculus Labs
4. Calculus Lectures
5. Calculus Exams
6. Linear Algebra Lectures
7. Linear Algebra Assignments
8. Linear Algebra Exams
9. Differential Equations Lectures
10. Differential Equations Assignments
11. Differential Equations Exams
12. Numerical Analysis Worksheets
13. Index to My User-Defined Functions



1. Instructions For Downloading

This website uses the web to distribute Maple worksheets. These Maple files are not intended for viewing with a browser. You must open them with a Maple reader. Your system may be configured to launch such a reader when you click on a link to a *.mws file. If not, then just save the file. For, example, if you are using Netscape from Windows platform, then right-click on an icon and choose the "Save As" option. Because Maple worksheets are plain text files, browsers will display them when so-directed. However, the characters will have no meaning to you. Thus, if your browser displays a Maple file after you click on a link, ignore the display and save the downloaded file (preferably with the Maple worksheet mws extension). Then use Maple to open up the file that you have saved.



2. Plotting Tutorials

Worksheet Name Maple Release Comments
MultivariablePlottingIR8.mws Introduction to plotting space curves
MultivariablePlottingIIR8.mws Introduction to plotting surfaces



3. Calculus Labs

Lab Name Maple V R4 Maple V R5 Maple 6
(Not Yet Available)
Introduction to Maple for Calculus II students
Introduction to Definite and Indefinite Integrals
Definite Integrals and The Fundamental Theorem of Calculus
Techniques of Integration
Approximating Integrals
Volumes and Arc Lengths
Direction Fields and Euler's Method



4. Calculus Lectures

Worksheet Topic Maple Release Comments
Indefinite Integrals Indefinite single integrals
Definite Integrals - I Definite single integrals
Definite Integrals - II (The Fundamental Theorem of Calculus) Illustrations of the Fundamental Theorem of Calculus
Techniques of Integration - I Substitution Using Maple to make a change of variables in an integral
Techniques of Integration - II Integration by Parts Using Maple to integrate by parts
Techniques of Integration - III Partial Fractions Using partial fractions as an integration technique
Techniques of Integration - IV Numerical Methods Approximating integrals
Osculating Circle Geometry of space curves (curvature, Frenet frames, osculating circles)
Least Squares Line Scatter plots, least squares lines, "mouse to elephant" example
Lagrange Multipliers Lagrange multipliers, "Milkmaid" example



5. Calculus Exams




---

6. Linear Algebra Lectures

Section MapleV R4 MapleV R5 Maple 6 Maple 7
Row Reduction
Selected Exercises from a book by Otto Brettscher
Leontief Economic Model
Elementary Matrices and Inverses
The Rank of a Matrix
Coordinates and Change of Basis



13. Index to My User-Defined Functions

Function Name Link to Worksheet Description
showtangentline3d Plots a space curve and a tangent line.
sliceplot3d Plots a surface using a user-defined number of slices



Maple Packages

The following packages are available for MapleV R5 (and for the time being, that is all). A description of the functions that are contained in these packages may be found on my page for Scientific WorkPlace.

Package Maple V R5 Maple 6
(Not Yet Available)
Approximation
Calculus
Calendar
Looping Constructs
Number Theory



Online Maple Primers

  • A Multivariable Plotting Primer (Part I) Frames No Frames Maple 6 Worksheet
  • A Multivariable Plotting Primer (Part II) Frames No Frames Maple 6 Worksheet
  • First Order Ordinary Differential Equations A Maple 6 Worksheet



  • Miscellaneous WorkSheets

  • - gridplotR6



  • Maple Cartoon







    Links to Other Maple Sites

    Maple Maps by Ross Taylor and Richard Baur




    Note on The Background for this Page

    The background to this page was created by using Maple's polarplot function. The code for the maple leaf is
    > with(plots):
    > S := t->100/(100+(t-Pi/2)^8): R := t -> S(t)*(2-sin(7*t)-cos(30*t)/2):
    > polarplot([R,t->t,-Pi/2..3/2*Pi],numpoints=2000,axes=NONE);
    
    This example may be found in Maple's help page for the polarplot function.
    Brian E. Blank
    Department of Mathematics
    Washington University in St. Louis
    1 Brookings Drive
    St. Louis, MO  63130
     
    Phone: (314) - 935 - 6763
    Fax:   (314) - 935 - 6839 
     
                        e-mail: brian@math.wustl.edu
    

    Last Updated: 24 October 2002

    Home Icon(1936 bytes)


    Clock Local time of download (Courtesy of the U.S. Naval Observatory)


    You are visitor number to this page since May 11 2000.