I am trying to write me Personal Statement for applied mathematics graduate admission in the US. I did an independent study course when I was a senior. The topics were about mathematical foundations of image processing and reading papers. This is definitely something that I would like to mention in my personal statement.
But I am not sure how detailed it should be. For example, should I just say: "we read two papers", or should I go deeper and say: "the first papers use variational calculus to develop an active contour model for detecting edge"? Should I mention some of the specific books my professor assigned to me, or do I just say: "I read about functional analysis"?