By A. David Wunsch
This supplemental textual content permits teachers and scholars so as to add a MatLab content material to a posh variables path. This ebook seeks to create a bridge among features of a posh variable and MatLab. --
summary: This supplemental textual content permits teachers and scholars so as to add a MatLab content material to a posh variables path. This publication seeks to create a bridge among features of a fancy variable and MatLab
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This supplemental textual content permits teachers and scholars so as to add a MatLab content material to a posh variables direction. This ebook seeks to create a bridge among features of a posh variable and MatLab. -- summary: This supplemental textual content permits teachers and scholars so as to add a MatLab content material to a fancy variables direction.
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Extra info for A Matlab companion to complex variables
3 Real part of z2. ^2; u=real(w); mesh(x,y,u);view(45,60);colormap(gray);colorbar xlabel('x');ylabel('y') title ('real part of z^2') Try running the above code without the statement colormap(gray) to obtain a nice plot in color. If you make the increments in x and y very small, the colored lines forming that plot may merge into a continuous colored surface (the fishnet disappears), one involving so many data points that the plot may print very slowly should you elect to use your printer. If you wish to generate a threedimensional plot that looks more like a surface than that sometimes given by the function mesh, you should use the MATLAB command surf in place of mesh.
5. The following code will do it. 5. 5 Contour lines for Im(z2). The line of code [c,h]=contour(x,y,wi,n) creates a matrix [c] and a scalar h containing information about the shape of the contours and the numerical values assumed on each contour, in this case, by the function wi = Im(z2). The command clabel(c,h) instructs MATLAB to label each contour with the (constant) numerical value that wi is assuming on that contour. 5 tell you the value assumed by Im(z2) on that contour. If you delete the line of code colormap(gray), you obtain a set of curves of varying colors.
Then in the expression contour (x,y,Z,V), enter for V the vector [v1 v1]. The matter is explored in problem 2. Exercises 1. Re(ez) has the values 0 and ±1. b. Repeat part (a) but use the imaginary part. c. Plot the results of parts (a) and (b) on the same set of coordinates, and verify that the intersections of the curves appear orthogonal. d. Repeat part (a) but have MATLAB automatically choose five values on which Re(ez) is constant. Compare the plot to the one obtained in part (a). Do you see any disadvantages to having MATLAB choose the values?
A Matlab companion to complex variables by A. David Wunsch