My main passions involve anything having to deal with audio synthesis and manipulation. I love sounds (not even necessarily musical) and love even more the topics of electronic and computer generated sounds. I am mainly interested in computer-related audio processing and generation. I would love to design, write, and use software of this nature for my career and possibly get into research within this field. Currently, I am pursuing a double major in mathematics and computer music. The computer music program is focused on audio synthesis/signal processing and algorithmic music (as well as some acoustics). I was originally just doing computer music but after taking Trig and college algebra, I realized that I love mathematics. I have always been very good at math, but I grew up in a very rural town and my highschool had nothing but highschool algebra/geometry. Now I am about to start a summer calculus course and have already started working through the assigned text (Thomas' Calculus 12e) as well as Spivak's and Apostol's. Anyway, I'd really love to get into the field of DSP, mostly pertaining to audio applications. However, I am now very passionate and interested in mathematics and would like to follow an educational path including it that will leave me with a diverse choice of careers that I can go into. I am thinking about doing a mathematics major with an emphasis in computer science. Would this be an appropriate path for entering the field of DSP while still leaving me with many options? Is pure mathematics a better choice?