Advanced Limits, Continuity, Ordinary and Partial Derivatives, Integrals, Multi-variable Calculus

Financial Mathematics, Interest, Profit and Loss, Economics

Linear Systems of Equations, Eigenvalues and Eigenvectors, Vector Spaces, Groups, Rings, Fields

Discrete Math, Graph Theory, Combinatorics, Recurrence Relations (Difference Equations), Set Theory, General and Symbolic Logic

Ordinary and Partial Differential Equations, Linear and Nonlinear; also Integral and Integro-Differential Equations

Calculus-level Probability and Statistics

Real, Complex, and Functional Analysis

General, Algebraic, and Geometric Topology; Differential Geometry and Tensor Analysis; Advanced Euclidean and Non-Euclidean Geometry, Projective Geometry

Classical Number Theory, Algebraic and Analytic Number Theory, Number Theoretic Cryptography

Numerical Analysis, Mathematical Physics, Modeling

Programming Languages, Data Structures and Algorithms, Information and Coding Theory, Complexity, Artificial Intelligence, Networks, Parallel Processing, Software Engineering, Human-Machine Interaction

Miscellaneous, Interdisciplinary