Okay, so, I have a question about a possible amendment to my Fall schedule, above. The advisor in my department has been encouraging me to take a course in Advanced Linear Algebra. I'm certainly not against the idea, since I've had two courses in linear algebra already and am quite into the subject, so I'm all for learning more. The issue is, it's a graduate class, and since I don't want to drop any of my other three math classes, it would mean that I'd be taking two grad classes in the same semester. Has anyone had any experience with that and if so, how did that work out?
In short, I'm considering this schedule:
Analysis I
Abstract Algebra I
Combinatorics and Graph Theory II (graduate-level)
Advanced Linear Algebra and Matrix Theory (graduate-level)
To give a little bit of context, I know all of the professors for these courses (I've had two of them already) and all of them are fairly reasonable. I've also had a handful of rigorous math classes in the past, so I'm not entirely unprepared, but still, it's a bit daunting. Any thoughts?