Course Requirements for Mathematics and Applied Mathematics Phd admission 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.
I would also like to know if its possible what kind of undergraduate
  requirements does an Applied Maths program usually look into? Would I
  be correct in assuming that they won't be looking in to algebra that
  much?


Not having had an undergraduate course in abstract algebra wouldn't be much of problem for admission to the graduate program at my institution (which focuses on applied and industrial mathematics.)  Background in analysis, differential equations, modeling, probability, and numerical analysis is much more important.  Significant background (such as a minor) in some area of science or engineering is also helpful.