Hardly trivial for what? Sure, I don't expect economics or finance majors to do a PDE course, but I have yet to come across a curriculum of a BS program in applied math that didn't include a core upper-division course in PDEs. I went to a public school and all of these courses but the advanced statistics are on the basic curriculum an applied math student has to take to complete his/her degree. Advanced mathematical statistics is a course I took since I chose a more probability and statistics track, but I was definitely not a special case, a lot of other students did the same. It is kind of hard to imagine any BS program in applied math that doesn't cover PDEs, numerical analysis and scientific computing (python), intro to programming and data structures (C++), so honestly, it feels like they haven't even looked at my transcripts.

Your course looks very extensive and very well structured. I'm sure it's a great course. But again, nothing on it is foreign to me, I have covered all of these topics in my PDE course (and some in electromagnetism, classical mechanics, statistical mechanics, quantum mechanics, stochastic calculus, and complex analysis).

I just wanted to gauge what others got as prereqs to understand if it's something the program still expects me to take, or if it's just a case that they can re-examine my transcripts to get it waived.