Originally posted by Catullus16
mostly applied math. multilinear algebra, with grounding in group theory (mostly galois fields). scientific computing, with emphasis on numerical methods (discretization, approximation, etc). optimization modeling, linear programming, duality theory, sensitivity analysis, network programming, graph theory, algorithm design, lambda calculus, etc, etc. in stats, mostly combinatorics and regression methods, but also stochastic processes and ito calculus. algebraic coding theory, number theory of primes, cryptography, etc, etc.
very weak on most advanced continuous methods, differential equations, real analysis, complex analysis, functional analysis, variational methods, differential geometry, most topology, asymptotic expansions, and the like. i've already forgotten most of the tricky calculations for differential and integral calculus. heck, i forget log rules all the time and if you asked me to manually do lebesgue integration, i'd have to look it up.
sucks that you didn't find stats exciting, maybe you had some uninspiring profs. or maybe it's because descriptive statistics is a snore and things don't pick up until you're no longer asked to do shit like calculate poisson distributions by hand and can do cool inferential tricks like PCA and cluster analysis.
I don't want to do the math test anymore. I got an engineering degree and breezed through the calculus needed for that (differential equations and multivariable calculus). Found it very fascinating and always wanted to pursue it further, but didn't really see the point in taking more courses since I didn't need to in order to achieve my engineering goals.
The stats courses I took pissed me off due to the fact that we had to use 'R' in all of them, and I found it quite non-user friendly.
I much preferred using matlab, which was a blast.