I know there have been similar questions asked, but the most recent question was focused on the transcript and the less recent question was focused on courses not relevant to the major.
My general question: When is it a valuable addition to a Statement of Purpose to explain an isolated case of poor performance in important coursework?
My specific case: I am an undergraduate currently writing a statement of purpose. I have had a 4.0 in math up until last semester. Last semester I took the following courses (with corresponding grades):
Graduate Real Analysis 1 (B)
Graduate Differential Topology 1 (A)
Graduate Probability Theory (A)
Undergrad Combinatorics (A)
Undergrad gen ed (A)
My explanation would include things like:
I was working 15 hours a week
I spent multiple hours a week applying for a Grant (and doing some preliminary Research along the way) and applying for the Goldwater scholarship
I was naive and overconfident to think I could go beyond a normal graduate course load (or something to that effect)
My reason to think that an explanation may be worthwhile in my case is because the B was in a very important graduate math course and I feel that, in effect, I just displayed that I hit my limit and my limit is below graduate level rigor. In reality, with my explanation, I feel like I may be able to convince someone that I actually was beyond the rigor of a first semester in graduate school and was simply naive and over confident.