Core MATLAB Syntax

MATLAB primarily utilizes .m files for script execution. The development environment features workspace (left), editor (right), and output (bottom-right) panes.

Basic Input and Output

radius = input('Enter circle radius: ');
area = pi * radius^2;
fprintf('Area = %.2f\n', area);

This script calculates circle area using input() for user data entry and fprintf() for formatted output.

Funciton Definition

function area = computeCircleArea(radius)
% COMPUTECIRCLEAREA Calculate circle area
%   computeCircleArea.m
area = pi * radius^2;
end

MATLAB uses percent sign (%) for comments. Functions can return computed values.

Multiple Return Values

function [arithmeticMean, geometricMean] = computeAverages(x, y)
% COMPUTEAVERAGES Calculate arithmetic and geometric means
arithmeticMean = (x + y)/2;
geometricMean = sqrt(x * y);
end

Matrix Operations

frequencies = [1, 2];
voltageSources = [10, 0];
currentSources = [0, 5];
impedance1 = 1./(0.5 * frequencies * 1j);
impedance2 = [2, 2];
impedance3 = [2, 2];
impedance4 = 1 * frequencies * 1j;

openCircuitVoltage = (impedance2 ./ (impedance1 + impedance2) - ...
                     impedance4 ./ (impedance3 + impedance4)) .* voltageSources;

equivalentImpedance = impedance3 .* impedance4 ./ (impedance3 + impedance4) + ...
                      impedance1 .* impedance2 ./ (impedance1 + impedance2);

totalVoltage = currentSources .* equivalentImpedance + openCircuitVoltage;

disp('Frequency | Magnitude | Phase (deg)');
disp([frequencies', abs(totalVoltage'), angle(totalVoltage') * 180/pi]);

All MATLAB data exists as matrices. Element-wise operations require dot operator (.). Omitting semicolons (;) displays results.

Conditional Plotting

[X, Y] = meshgrid(-3:0.1:3);
sumXY = X + Y;

Z = zeros(size(X));
Z(sumXY > 1) = 0.54 * exp(-0.75*X(sumXY > 1).^2 - 3.75*Y(sumXY > 1).^2 - 1.5*Y(sumXY > 1));
Z(sumXY <= 1 & sumXY > -1) = 0.7575 * exp(-X(sumXY <= 1 & sumXY > -1).^2 - 6*Y(sumXY <= 1 & sumXY > -1).^2);
Z(sumXY <= -1) = 0.5457 * exp(-0.75*X(sumXY <= -1).^2 - 3.75*Y(sumXY <= -1).^2 + 1.5*Y(sumXY <= -1));

surf(X, Y, Z);
% Alternative plotting functions: plot3, mesh

Surface Visualization

x = linspace(-4, 4, 41);
y = x;
[X, Y] = meshgrid(x, y);
Z = X.^2 + Y.^2;

surf(X, Y, Z);
title('Elliptic Paraboloid Surface');
colormap([0 0 1]); % Blue color mapping
hold on;

for k = -4:0.2:4
    for h = -4:0.2:4
        plot3(k, h, k^2 + h^2, 'b*', 'MarkerSize', 5);
    end
end

Use hold on to overlay multiple plots. linspace generates evenly spaced vectors.

Trigonometric Function Plotting

values = 1:0.1:100;
results = {sin(values), cos(sin(values)), tan(cos(sin(values)))};

hold on;
for i = 1:length(results)
    plot(values, results{i});
end

Clear workspace variables with clear before execution to prevent naming conflicts.

Common MATLAB Functionalities

Primary student uses include matrix computations and data visualization. Matrix operations follow linear algebra rules, while plotting functions offer extensive customization through documentation references.