Book Examples

This part of the web site is still under development. Here is the link to MuPAD source code from the book  mupadbook_source_code.zip. Below there are links to particular examples presented on web pages. Examples with letters [JV] contain graphics  displayed with the use of JavaView, examples with the letter [F] contain graphics displayed with Flash MX. Finally links with  [SVG] mark contain graphics displayed as SVG graphics.

Chapter 4 Programming in MuPAD - Control Structures

• Example 4.1.3 Quadratic equation algorithm

Chapter 5 Programming in MuPAD - Procedures

• Quadratic equation procedure
• Example 5.1 Heron formula
• Example 5.2 The Euclid algorithm to find GCD of two integers
• Example 5.3 To produce a sequence
• Example 5.4 To produce a long list of numbers
• Example 5.5 To produce a matrix of any dimension
• Example 5.6 A recursive procedure
• Example 5.7 User defined library of MuPAD procedures

Chapter 6 Introduction to MuPAD Graphics

• Example 6.1  Very basic plot of two functions
• Example 6.2  Using plots to solve equations
• Example 6.3  Very basic animation
• Example 6.4  Basic plot of two intersecting surfaces [JV]
• Example 6.5  To produce simple scene
• Example 6.6  To produce multiple scenes
• Example 6.7  Exploring canvas properties
• Example 6.8  Using color function [JV]
• Example 6.9  Checking Mesh values

Chapter 7  Interactive Graphics & Animation with VCam

• Example 7.1 Using VCam to improve a 2D graph
• Example 7.2 Using VCam to improve a 3D graph [JV]
• Example 7.3 Using lights in VCam [JV]
• Example 7.4 Using VCam to produce animation

Chapter 8  Exploring Mathematical Curves and Surfaces

• Example 8.1 Improving graphs of difficult functions of one variable
• Example 8.Parametric plots in 2D - Graph of a Hypocycloid
• Example 8.3 Polar plots in 2D - Freeths nephroid
• Example 8.4 Polar plots in 2D - An Arabesque
• Example 8.5Implicit plots in 2D - Family of hyperbolae >
• Example 8.6 Improving graphs of difficult functions of 2 variables [JV]
• Example 8.7 Graphs of functions defined by procedures - the Mandelbrot hill [JV]
• Example 8.8 Parametric plots in 3D - sphere [JV]
• Example 8.9 Parametric plots in 3D - Chinese knot< [JV]
• Example 8.10Spherical plots - a threefold shell [JV]
• Example 8.11 Cylindrical plots - a coiled tower (sorry no JavaView model)
• Example 8.12Implicit plot in 3D - Kummer's surface [JV]
• Example 8.13 Plotting curves in 3D - a Lissajou curve in 3D [JV]
• Example 8.13a Plotting curves in 3D - a Lissajou curve as a tube plot [JV]

Chapter 9: A Few Applications of MuPAD Graphics

• Example 9.1 Plotting contours
• Example 9.2 Density plots
• Example 9.3 Plotting vector fields
• Example 9.4  Plotting the domain of a function
• Example 9.5 Plotting inequalities
• Example 9.6 Plotting surface of revolution
• Example 9.7 Points in 2D
• Example 9.8 Plotting random data
• Example 9.9 Lines and points in 3D
• Example 9.10 Plotting a pyramid
• Example 9.11 Stella Octangula
• Example 9.12 Using transformations - floor tiles
• A non numbered example from turtle graphics section
• Example 9.13 Plots of L-systems

Chapter 10: Exploring Numbers with MuPAD

• Example 10.1
• Example 10.2 Arithmetic modulo m
• Example 10.3 Continued fractions procedure
• Example 10.4 To calculate an approximate value of sqrt(2)
• Example 10.5 Roots of complex numbers

Chapter 11 Elementary Algebra and Trigonometry in MuPAD

• Example 11.1
• Example 11.2

Chapter 12: Working with Sets and Sentences in MuPAD

• Example 12.1 Factorial numbers
• Example in Polish Notation
• Example 12.2 Checking tautologies in Polish notation
• Example 12.3 Define operations for set algebra
• Example 12.4 - Cartesian product

Chapter 13: Exploring Calculus with MuPAD

• Example 13.1 Plotting sequences
• Example 13.2 Local minimum and maximum values
• Example 13.3 Tangent lines and asymptotes of functions
• Example 13.4 Checking the convergence of a number series
• Example 13.5 Taylor polynomials
• Example 13.6 Plotting a tangent plane
• Example 13.7 Finding extreme values of functions

Chapter 14: A Short Introduction to Linear Algebra

• Example 14.1 Solving systems of linear equations in matrix form
• Example 14.2 Gaussian elimination
• Example 14.3 Cramer's rule

 ©  Miroslaw Majewski, Abu Dhabi,  Update  26-10-2004