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This is a soft question . In the walk-in for the lectureship, I have decided to give demo lecture on the topic of Fourier transform.

The principal of the institution ask me to take lecture interactively with students on the given topic for around 20 to 25 minutes. I should teach them interactively by which they can learn Fourier transform with interest.

But I could not dare to counter question him "How to make and teach Fourier transform topic interactive one?" ;-)

Now,I am confused with what should be the start of the lecture? Should I take any example or any application than directly coming on equations or any other ?

What should I tell about importance of Fourier transform? The important factors of signals I.e. phase,frequency and amplitude ? So can anybody help me for it?

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  • $\begingroup$ You could use sock puppets. One sock puppet could propose building up a large class of periodic functions on $[-\pi,\pi]$ from sines and cosines, and a large class of functions on $\mathbb{R}$ from integral "sums" of sines and cosines. Then the other sock puppets could beat up the first socket puppet and keep it from publishing for 20 years. That would be a good accurate way to teach the History of the subject. $\endgroup$ Commented Jun 4, 2015 at 18:46
  • $\begingroup$ Consider asking this at Mathematics Educators Stack Exchange. If you do so, please link to this question. $\endgroup$ Commented Jun 5, 2015 at 5:29

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