Question

Filename: MAE1090_HW9_2.m Write an m-file to evaluate the following complex function ?? = ?? ??+???? for the interval ?1 ? ?? ? 1 and ?2?? ? ?? ? 2??. Use 50 points in both the ?? and ?? direction. Create a mesh, surface, and contour plot of the function. In each case, plot the real part of ?? versus ?? and ??. Add appropriate axis labels and titles.

Answer 1

Code:

pi=180;

x = -1:0.0408:1; %0.0408 increment generates 50points between -1 and 1

y = -2*pi : 14.69 :2*pi;

[X,Y]= meshgrid(x,y); %meshgrid generates array of scalar vectors

z = exp(X+i*Y); %compute z

mesh(X,Y,real(z)) %plot mesh plot of real part of z

xlabel('x-axis')

ylabel('y-axis')

title('mesh plot') %gives graph title

surf(X,Y,real(z)) %plot surface plot

xlabel('x-axis')

ylabel('y-axis')

title('surface plot')

contour(X,Y,real(z)) %draw contour plot

xlabel('x-axis')

ylabel('y-axis')

title('contour plot')
output

mesh plot 0.5 0 y-axis 0.5 x-axis

-2 -3 Ati 30 201 y-axis 0.5 -30 X-axis

contour plot 300 200- 100 100- 200- 0) 1 -0.8 0.6 -0. 0.2 0 0.2 0.4 0.6 0.81 X-axis