Practical 1: Introduction to MATLAB

Elementary Mathematical Functions

> Let $x = 1.2$ . Verify that the following expressions have the values shown, by typing in the correct MATLAB commands.
Mathematical expression	Answer	MATLAB command/Tips
$\frac{1}{ \sqrt{2 \Pi } }e^{- \frac{1}{2}x^{2}}$	0.1942	1/sqrt(2pi)exp(-0.5*1.2^2)
$\frac{ \sqrt[3]{5+cos4x} }{\left\|sin3x\right\|}$	3.8866	(5+cos(41.2))^(1/3)/abs(sin(31.2))
$\sin^{2}\left( \pi x\right)$	0.3455	Sets of brackets required: 1
$\frac{e^{ \sin x}}{ \sqrt{x^{2}+1} }$	1.6259	Sets of brackets required: 3
$x \arctan x- \frac{1}{2} \ln \left(1+x^{2}\right)$	0.6053	Note: you will need to look up the arctangent function in the MATLAB help files (click on Help at the top menu). Sets of brackets required: 3