I can't speak for jvns, but for my degree, "UNIX BASICS" was essentially "Command-line basics" (an intro class), and Assembly was pretty much just the actual language syntax, registers, pointers, and interrupts. The word "syscall" might have been mentioned once or twice, but only in a hand-wavy, "don't worry about this right now" kind of way.

for the algebra classes: there are complete course notes for all of them at http://www.math.mcgill.ca/goren/courses.html. I took 3 algebra classes from him and it was great.

very roughly: 1. groups & rings, 2. linear algebra, 3. more groups & monoids & rings, 4. galois theory

for the analysis classes, very very roughly:

1. basics of analysis, the derivative, 2. the riemann integral, 3. metric spaces, 4. the lebesgue measure & integration