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Course: AEM CId: 10447 Name: Salman Khaliq Bajwa Id: 3746 Assignment # 1

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Applied Engineering Maths..3D example on MATLAB software

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Page 1: Aem

Course: AEM

CId: 10447

Name: Salman Khaliq Bajwa

Id: 3746

Assignment # 1

Program Code on MATLAB

Page 2: Aem

% PAF-KIET

% Salman Khaliq 3746

% Assignment # 1

% Example of Scalar Gradient Field- 2D Graph

close all; clear;

x = -2:.2:2; y = -1:.2:1;

[xx,yy] = meshgrid(x,y);

s = xx.*exp(-xx.^2-yy.^2);

figure(1);surf(x,y,s);shading interp;

rotate3d;

xlabel('x');ylabel('y');zlabel('s');

title('2-D space varying scalar field: s = x e^{-(x^2+y^2)}');

pause;

[px,py] = gradient(s,.2,.2);

figure(2);quiver(x,y,px,py,2);

xlabel('x');ylabel('y');

title('Gradient of the scalar field: \nablas=(1-2x^2)e^{-(x^2+y^2)} {\bf x} - 2xye^{-(x^2+y^2)} {\bf y}');

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