MATLAB MATLAB is a high-level technical computing language and interactive environment for algorithm development, data visualization, data analysis and numerical computation.

MATLAB High-level language for technical computing Development environment for managing code, files, and data Interactive tools for iterative exploration, design, and problem solving Mathematical functions for linear algebra, statistics, Fourier analysis, filtering, optimization, and numerical integration 2-D and 3-D graphics functions for visualizing data Tools for building custom graphical user interfaces Functions for integrating MATLAB based algorithms with external applications and languages, such as C, C++, Fortran, Java, COM, and Microsoft Excel

TASK Find area of surface, which is bounded by the graph of a function f , axis y and line segment with initial point A and end point B. Represent result graphically. A = (0; 0) a B =(3; 0)

Calculation of values of a function Elementary functions of MATLAB Calculation of values of a function Calculation of value of polynomial function for . 2.*2.*2.*2.*2.*2.*2+3.*2.*2.*2.*2+2.*2.*2-7 Or 2.^7+3.*2.^4+2.^3-7 Or 2*2*2*2*2*2*2+3*2*2*2*2+2*2*2-7 Or 2^7+3*2^4+2^3-7 Or p=[1,0,0,3,0,2,0,-7];polyval(p,2) ans = 177

Notation of functions and operators Elementary functions of MATLAB Notation of functions and operators Calculate: , , . a1=sqrt(7) a1 = 2.6458 a2=2^8 a2 = 256 Or a2=pow2(8) a2 = 256 a3=7^(1/4) a3 = 1.6266

Calculate values of following expressions: z=(2.^3+5.^4).^(1/3) z=8.5862 a=3;b=3;c=4;x=2;y=5; z=(x.^b+y.^c).^(1/a) z=8.5862 a=5;b=5;c=3;x=7;y=2; z=(x.^b+y.^c).^(1/a) z=7.0007 a=7;b=5;c=4;x=2;y=3; z=(x.^b+y.^c).^(1/a) z=1.9647

Calculate values of following expressions: z=log10(24.589) z=1.3907 z=1.5841 z=log(4.875) z=0.7707 z=log(3.457)./log(5) z=log(3.564)./log(1/3) z=-1.1568

Trigonometric functions Calculate , , . u1=cos(3) u1 = -0.9900 u2=asin(0.584) u2 = 0.6236 x=37*pi/180; u3=sin(x) u3 = 0.6018

Exponential functions z=0.1494 z=3./exp(3) z=exp(8)+exp(1/4) z=2.9822e+003 z = 2,982.2 z=23.1700 z=exp(3+1/7)

Conversion from radians to degrees, minutes and seconds of arc x=–sqrt(3)./2 x=–0.8660 z=acos(x) z=2.6180 y=180*acos(x)./pi y=150

x=0.2458 y=1.3225 y=acos(x) y=180*y./pi y=75.7709 0.7709*60 46.2540 0.2540*60 15.2400

x=-0.6874 y=2.3287 y=acos(x) y=180*y./pi y=133.4246 0.4246*60 25.4760 0.4760*60 28.5600

convertx.m y=acos(x); z=180*y./pi; degrees=fix(z); p=(z-degrees)*60; minutes=fix(p); seconds=round((p-minutes)*60); degrees,minutes,seconds x=-0.6874;convertx