Implementation of FIR and IIR Filters using Arduino

I'm curious what is the context for this exercise.

You've described a project that touches on a number of different subject areas, which I would expect to be separate classes, including analog signal conditioning, microcontrollers and general coding, and digital signal processing. It might be a senior project of some sort hence multiple disciplines, but I'm not seeing much evidence of passing understanding of any of these topics. Trying to learn this stuff via a (typically) short response interactive forum primarily dedicated to only one of these subjects seems inefficient at best.