tutorial%20complex%202

tutorial%20complex%202 - The University of Queensland...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
The University of Queensland School of Information Technology & Electrical Engineering ELEC3002/ELEC7005 Computational Mathematics for Engineers Tutorial Complex #2 Q1 The mapping w = α z + β ( α , β both constant complex numbers) maps the point z = 1 + j to the point w = j and the point z = − 1 to the point w = 1 + j. (a) Determine α and β . (b) Find the region in the w -plane corresponding to the upper half plane Im(z) >0 and illustrate with a diagram. (c) Find the region in the w-plane correspond to the disc 2 z < and illustrate with a diagram. (d) Find the fixed points of the mapping. Q2 Find a bilinear mapping that maps z = 0 to w = j , z = − j to w = 1and z = − 1 to w = 0. Hence sketch the mapping by finding the images in the w -plane of the lines Re(z)
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern