Test2_prep - formula ♦ Expect to prove/derive one of the...

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

View Full Document Right Arrow Icon
Preparing for the Second Exam The test covers everything we’ve done concerning the Fourier transforms, up through the material on Gaussian functions in §23.1. For details on what we covered over that period, look at the assigned homework from Friday 9/23 to Friday 10/21. There will be two slightly different tests: One for the 460 students, and one for the 561 students. Each will be accompanied by a copy of the Short Tables for the Fourier Transform (same as at the web site). In particular: Know the basic notation and terminology. 561ers, at least, should expect at least one problem specifically relating to whether certain functions are or are not absolutely integrable/in /classically transformable. Everyone should be aware of the importance g that functions satisfy appropriate conditions before applying identities with those functions (e.g.: The requirement that be continuous when applying the differential 0 identity for computing ). Y Ò0 Ó w Be able to compute a Fourier transform (or inverse transform) using the integral
Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: formula. ♦ Expect to prove/derive one of the identities (I ll probably give you one of the near-’ equivalence or translation or scaling or differentiation identities). 460ers will be able to assume the function being transformed is in . 561ers won t be so lucky. T ’ ♦ Much of the test will concern computing transforms and inverse transforms using the tables given. Expect pages and pages of these sorts of computations. Your work will have to be based on those tables. For example, the modulation identities are not on the tables, so know other ways for computing the transforms for which you may normally use the modulation identies. And don t expect much credit for just writing down the ’ answer without giving any indication of how you got it! Question: Which identities from the table are you most likely to use? Answer: All of them. You may even have one transform to compute requiring the use of more than one identity (as in problem 21.13)....
View Full 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