- here Very quick intro [U. Utah]
- here Quick Reference [U.S. Naval Academy]
- here Slightly more detailed intro [U. Florida]
- here Very systematic tutorial [MathWorks]
- here Control Toolbox (specialized) tutorial [U. Mich]

**Creating an array of values and plotting it**

t = 0:0.01:5; % 500 values, spaced 0.01 apart, on [0,5] y = sin(4*t); % function to be plotted plot(t,y); % 2D plot command (t,y are both vectors)! print -deps plot1.eps; % print current graphic to postscript file |

Note the use of the "%" as a comment delimiter!

**Printing to a File**

The following code creates a surface graphic (using a builtin function called peaks) then prints it to a color encapsulated postscript file called "peaks.eps"

figure;close surf(peaks) print -depsc peaks.eps |

If you want to change this to a gif format (for inclusion in a web page) use the unix command "ps2gif"

If you are running under windows, you can output to jpeg or png format. (Type "help print" at the Matlab prompt).

** Using Matlab's numerical ode solver **

The following code creates "inline" functions g1 and g2, returning 2x1 column vectors. Matlab's builtin runge-kutta solver returns a 2x1 vector. These are plotted and compared.

g1 = inline('[x(2);-sin(x(1))]','t','x'); tseq = linspace(0,20,101); [t,x] = ode45(g1,tseq,[0;1]); g2 = inline('[x(2);-x(1)]','t','x'); [t,y] = ode45(g2,tseq,[0;1]); axis equal; figure;close plot(t,x(:,1),t,y(:,1)); % print -depsc graphic graphic = 'graphic.ps'; print( gcf, '-dps', graphic ) |

**"inline" vs "script" functions**

To create an inline function for use within a Matlab session, we do the following:

f = inline('sin(x)','x'); |

If we want the same file available through an m-file (or script) we create a function called y.m (in the same directory) with the lines

function y = f(x) y = sin(x) |

Note the file must be the same name as the function name, with an ".m" extension.