Calculus I, II, III, IV: differentiation, integration, differential equations, eigen-values Math Proofs: induction, logic, sets, groups Vector Calculus: gradients, integrals over surfaces College Geometry: tranformations, isometries, Frieze groups Probability and Statistical Inference: combinatorial systems, distributions Linear Algebra: systems of linear equations, vector spaces Modern Algebra: group homomorphisms and isomorphisms Advanced Calculus: continuity, Green's Theorem Applied Combinatorics: counting theory, optimization problems Abstract Algebra I, II, III: groups, rings, fields Numerical Analysis: splines Number Theory: primative roots, Diophantine equations Advanced Algebra: Sylow theorems, modules Topology: connectedness, compactness Baby Differential Geometry: Frenet formulas, Gauss-Bonnet Theorem Differential Topology: manifolds, diffeomorphims Real Analysis: metric spaces, sequences and series Algebraic Topology: fundamental group, homology Lebesgue Integrals: measure theory Differential Geometry I & II: differentiable manifolds, tensors Mathematical Statistics I & II: distributions, moment generating functions, regression analysis Galois Theory Complex Analysis: Mobius transformations, Reimann surfaces