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1

The standard notation for the unit step function is $u(t)$. I've seen the notation $u_k(t)$, with integer $k$ in Oppenheim's Signals and Systems, where $k$ is the order of the derivative of the Dirac delta impulse. I.e., $u_1(t)=\delta'(t)$, etc. Using the same logic, negative values of $k$ indicate integrals of the Dirac delta impulse. So $u_{-2}(t)$ is the ...

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I've kind of grouped your subjects into larger overall subjects. Note that there's a lot of overlap here, with the possible exception of actually making it work in a microprocessor (except -- in my opinion the best person to implement something is someone who understands it. So -- overlap). Specifically, you could claim that it's all applied math. Or all ...

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Following undergraduate lectures serve as the basis: 1-) Signals and Systems (Oppenheim's book) 2-) Probability and Random Processes (Kay's book) 3-) Linear feedback systems (Ogata's book) However, they can fall quite theoretical (without practical focus) and also include much more material than necessary for specialised applications. For example, just to ...

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