Mathematica Self-Tutor for Calculus

by D.C.M. Burbulla and C.T.J. Dodson Homepage

General information about Mathematica is available by email from: info@wri.com

High School Mathematics Using Computers You can find more Mathematica notebooks, and Maple worksheets, covering the whole high school mathematics syllabus at: Experiments in Mathematics Using:


Mathematica:http://www.ma.umist.ac.uk/kd/ednet/maths/mathematica/readme.html
Maple:http://www.ma.umist.ac.uk/kd/ednet/maths/maple/readme.html

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Accessing Different Workbooks from this Server

Select the workbook of your choice from the list below. Note that each file is available in three formats: normal and two compressed (Z and gz). In general compressed files are smaller (gz is the smallest) and will download faster; however, you must be able to uncompress the file once you have your own copy. Select the file of your choice using your browser's method of downloading files to your local disk. For example, in Netscape button 3 can be used to select a file for downloading. Once you have saved (and, if necessary, expanded) the file you can read it as as a standard Mathematica Workbook.

• Overview of Mathematica: MathIntro.ma | MathIntro.ma.Z | MathIntro.ma.gz
• Beginning Calculus: SelfTutorCh2.ma | SelfTutorCh2.ma.Z | SelfTutorCh2.ma.gz
• The Derivative: SelfTutorCh3.ma | SelfTutorCh3.ma.Z | SelfTutorCh3.ma.gz
• Methods of Approximation: SelfTutorCh4.ma | SelfTutorCh4.ma.Z | SelfTutorCh4.ma.gz
• Properties of Differentiable Functions: SelfTutorCh5.ma | SelfTutorCh5.ma.Z | SelfTutorCh5.ma.gz
• Antiderivatives: SelfTutorCh6.ma | SelfTutorCh6.ma.Z | SelfTutorCh6.ma.gz
• The Definite Integral: SelfTutorCh7.ma | SelfTutorCh7.ma.Z | SelfTutorCh7.ma.gz
• Numerical Integration: SelfTutorCh8.ma | SelfTutorCh8.ma.Z | SelfTutorCh8.ma.gz
• Exponential and Log. Functions: SelfTutorCh10.ma | SelfTutorCh10.ma.Z | SelfTutorCh10.ma.gz
• Trig. and Hyperbolic Functions: SelfTutorCh11.ma | SelfTutorCh11.ma.Z | SelfTutorCh11.ma.gz
• Techniques of Integration: SelfTutorCh12.ma | SelfTutorCh12.ma.Z | SelfTutorCh12.ma.gz
• Calculus Projects: SelfTutorCh13.ma | SelfTutorCh13.ma.Z | SelfTutorCh13.ma.gz
• Basic Statistics: StatsIntro.ma | StatsIntro.ma.Z | StatsIntro.ma.gz
• An Example of Chaos: OrderDisorder.ma | OrderDisorder.ma.Z | OrderDisorder.ma.gz

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Description of Workbooks

The SelfTutorCh*.ma notebooks correspond to Chapters in our book, Self-Tutor For Computer Calculus Using Mathematica designed for a first calculus course, published by Prentice-Hall Canada in English (ISBN 0130152803) and by Prentice-Hall Japan in Japanese (ISBN 4-8101-8558-3 C3055 P2880E).

Our introductory Notebook for Mathematica is MathIntro.ma, which you can open in your directory with command mathematica. When the program starts, select menu item "File" then "Open" and at the prompt box select
/yourpathname/MathIntro.ma if MathIntro.ma is in /yourpathname/

In MathIntro.ma you will find examples from a very elementary level up to others involving 3-d plots, differential equations and vector calculus.

The Notebook StatsIntro.ma introduces the use of Mathematica in common statistical situations.

Note

YOU NEED TO INPUT THE COMMANDS IN SEQUENCE IN THESE PRE-PREPARED NOTEBOOKS, USE <Shift-Enter> ON EACH CELL

General Information

Notebooks can run on UNIX machines with the X Window capability for Mathematica 2.2, under NeXTStep, on DOS machines under Windows and on Macintosh.

More Notebooks can be obtained from MathSource. See the World MathSource Wide-Web home page at http://mathsource.wri.com.

You can also access MathSource via email by sending by sending the one-line email message find intro to mathsource@wri.com.

Among other things, MathSource contains the electronic form of the journal Mathematica in Education.

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Mathematica PostScript Figures For LaTeX

The creation of encapsulated PostScript figures from Mathematica graphics for LaTeX and TeX documents is described in the LaTeX Tutorial http://www.ma.umist.ac.uk/kd/latextut/latextut.html