Math topics not applicable to the categories below. High-school Math

Elementary functions. Calculating limits, derivatives and integrals. Optimization problems

Solving ODE and PDE

Point-set topology. Real, complex, harmonic and functional analysis. Measure and integration theory

Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.

Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology

Fundamentals: Set theory, logic and proofs. Probability and statistics