matlab_intro.pdf

MATLAB Introduction

MATH2070: Numerical Methods in Scientific Computing I

Location: http://people.sc.fsu.edu/∼jburkardt/classes/math2070 2019/matlab intro/matlab intro.pdf

Hailstone numbers cycle for a while and then drop unpredictably!

MATLAB Intro

Let’s model a particular problem, and see how MATLAB can help us.

1 The HUMP function

Suppose we are interested in the function:

y =

− 6.0

1 function y = hump ( x )

2 y = 1 . 0 . / ( ( x − 0 . 3 ) . ˆ 2 + 0 . 01 ) . . .

3 + 1 . 0 . / ( ( x − 0 . 9 ) . ˆ 2 + 0 . 04 ) . . .

4 − 6 . 0 ;

5 return

6 end

Then we can ask for the value at 2.0 by writing y=hump(2.0), or the value at a variable x by writing

Suppose we wanted to know the value of the function at 6 equally spaced points in the interval [0, 1]? We

could type the command 6 times, but a better option would be to somehow get all the answers at once. We