1 MATLAB 2 2 Starting Up 2 2.1 Windows Systems . . . . . . . . . . 2 2.2 Unix Systems . . . . . . . . . . . . . 2 2.3 Command Line Help . . . . . . . . . 2 2.4 Demos . . . . . . . . . . . . . . . . . 3 3 Matlab as a Calculator 3 4 Numbers & Formats 3 5 Variables 3 5.1 Variable Names . . . . . . . . . . . . 3 6 Suppressing output 4 7 Built{In Functions 4 7.1 Trigonometric Functions . . . . . . . 4 7.2 Other Elementary Functions . . . . . 4 8 Vectors 4 8.1 The Colon Notation . . . . . . . . . 5 8.2 Extracting Bits of a Vector . . . . . 5 8.3 Column Vectors . . . . . . . . . . . . 5 8.4 Transposing . . . . . . . . . . . . . . 5 9 Keeping a record 6 10 Plotting Elementary Functions 6 10.1 Plotting|Titles & Labels . . . . . . 7 10.2 Grids . . . . . . . . . . . . . . . . . . 7 10.3 Line Styles & Colours . . . . . . . . 7 10.4 Multi{plots . . . . . . . . . . . . . . 7 10.5 Hold . . . . . . . . . . . . . . . . . . 7 10.6 Hard Copy . . . . . . . . . . . . . . 8 10.7 Subplot . . . . . . . . . . . . . . . . 8 10.8 Zooming . . . . . . . . . . . . . . . . 8 10.9 Formatted text on Plots . . . . . . . 8 10.10Controlling Axes . . . . . . . . . . . 9 11 Keyboard Accelerators 9 12 Copying to and from Word and other applications 10 12.1 Window Systems . . . . . . . . . . . 10 12.2 Unix Systems . . . . . . . . . . . . . 10 13 scr ipt Files 10 14 Products, Division & Powers of Vectors 11 14.1 Scalar Product (*) . . . . . . . . . . 11 14.2 Dot Product (.*) . . . . . . . . . . . 11 14.3 Dot Division of Arrays (./) . . . . . 12 14.4 Dot Power of Arrays (.^) . . . . . . 12 15 Examples in Plotting 13 16 Matrices|Two{Dimensional Arrays 13 16.1 Size of a matrix . . . . . . . . . . . . 14 16.2 Transpose of a matrix . . . . . . . . 14 16.3 Special Matrices . . . . . . . . . . . 14 16.4 The Identity Matrix . . . . . . . . . 14 16.5 Diagonal Matrices . . . . . . . . . . 15 16.6 Building Matrices . . . . . . . . . . . 15 16.7 Tabulating Functions . . . . . . . . . 15 16.8 Extracting Bits of Matrices . . . . . 16 16.9 Dot product of matrices (.*) . . . . 16 16.10Matrix{vector products . . . . . . . 16 16.11Matrix{Matrix Products . . . . . . . 17 16.12Sparse Matrices . . . . . . . . . . . . 17 17 Systems of Linear Equations 18 17.1 Overdetermined system of linear equations . . . . . . . . . . . . . . . . . . 18 18 Characters, Strings and Text 20 19 Loops 20 20 Logicals 21 20.1 While Loops . . . . . . . . . . . . . . 22 20.2 if...then...else...end . . . . . . 23 21 Function m{ les 23 21.1 Examples of functions . . . . . . . . 24 22 Further Built{in Functions 25 22.1 Rounding Numbers . . . . . . . . . . 25 22.2 The sum Function . . . . . . . . . . . 25 22.3 max & min . . . . . . . . . . . . . . . 26 22.4 Random Numbers . . . . . . . . . . 26 22.5 find for vectors . . . . . . . . . . . . 27 22.6 find for matrices . . . . . . . . . . . 27 23 Plotting Surfaces 27 24 Timing 28 25 On{line Documentation 29 26 Reading and Writing Data Files 29 26.1 Formatted Files . . . . . . . . . . . . 30 26.2 Unformatted Files . . . . . . . . . . 30 27 Graphic User Interfaces 31 28 Command Summary 32