Seemingly the question and Brian Borchers' answer refer to "applied math" in a certain popular (if narrow) tradition, so probably Brian's answer answers the question appropriately.
However, if "applied math" is construed as "math that is applied", then it would certainly include abstract algebra and number theory, for cryptography and error-correcting coding. It would also include things toward design-of-experiments. Game theory? It really does appear that there is no simply-described subset of mathematics that is "applicable" while others aren't.
But/and then returning to the part of the question about certifying acquaintance with abstract algebra: a direct letter of recommendation commenting on a "reading course" could potentially be stronger than a mere grade-on-a-transcript, so I'd think it'd not be an obstacle. If anything, the evidence of taking initiative is a big plus, in itself, when I look at grad applications.
manpreet
Best Answer
2 years ago
I am a student from Sri Lanka, and I have just finished my degree. Because of the rules of my University ( My program was a direct intake for Mathematical Finance specialization, and despite this I have followed mathematics subjects the most) I was not allowed to take any abstract algebra courses. I have completed the other courses which Pure Mathematics Special students undertake such as in Analysis and have good results. I will be undertaking a reading course for Algebra with the senior lecturer at the University at whilst he said he will give a letter as evidence as possibly at best a letter from the faculty it won't be officially recognized in the transcript
So my main question is that would such a letter be recognized, even if it is signed by the dean of the faculty when apply for a phd? I hope I will be able to cover the usual algebra syllabus and maybe even more.