Linear Algebra 2 for Honours Mathematics:orthogonal/unitary matrices, projections, Gram–Schmidt, least squares, inner products, orthogonal diagonalization, SVD, and applications.

Calculus 3 for Honours Mathematics: multivariable calculus including limits, continuity, differentiability, chain rule, gradients, optimization, Jacobians, and multiple integrals.

Introduction to Combinatorics: multivariable graph theory (colorings, matchings, connectivity, planarity) and enumerative techniques (recurrences, generating series, binary strings, trees).

Probability: multivariable probability spaces, random variables, distributions, expectation, variance, named distributions, and the central limit theorem.

Introduction to Sociology: multivariable sociological concepts, theories, and methods; social institutions, culture, socialization, and social change.