Introduction to group theory: permutation groups, Lagrange's theorem, normal subgroups, homomorphism theorems. Introduction to ring theory: ring of...
Finite-dimensional vector spaces (over R and C), subspaces, linear independence and bases. Linear transformations and matrices. Inner product spaces...
Sets and relations, number theory, group theory, ring theory, cardinal numbers. Precludes additional credit for MATH 3101 and MATH 2100....
An introduction to classical geometry; Euclidean plane geometry; plane tiling; polytopes in three and four dimensions; curved surfaces; Euler...
First-order equations, linear second- and higher-order equations, linear systems, stability of second-order systems. Precludes additional credit for...
Existence and uniqueness theorems. First-order equations, linear second- and higher-order equations, linear systems, stability of second-order...
An introduction to discrete mathematics and algorithms in the context of the computational sciences. Basic number theory and counting methods,...
Available only to Honours students whose program requires a 0.5 credit not offered by the School of Mathematics and Statistics.
Metric spaces and their topologies, continuous maps, completeness, compactness, connectedness, introduction to Banach spaces. Prerequisite(s): MATH...
Differential forms and vector fields. Line and surface integrals. The divergence theorem and Stokes' theorem. Exterior algebra. Geometry of curves and...
Analytic functions, contour integration, residue calculus, conformal mapping. Intended for non-engineering students. Precludes additional credit for...
Analytic ordinary differential equations: series solutions of ordinary differential equations about ordinary and regular singular points. Asymptotic...
The real number system, sequences and series, functions of a single real variable, derivatives, the definite integral, uniform convergence. Precludes...
Analytic functions, contour integration, residue calculus, conformal mapping. Precludes additional credit for MATH 3007 and PHYS 3807....
Introduction to algebraic structures: groups, rings, fields, lattices, and Boolean algebras; with applications of interest to students in Computer...
Homomorphism theorems; groups acting on sets; permutation groups and groups of matrices; Sylow theory for finite groups; finitely generated abelian...
Similarity and unitary triangularization of matrices. Direct methods of solving a system of linear equations. Iterative techniques. Bounds for...
Groups and rings. Permutations. Finite symmetry groups. Polynomials, unique factorization domains. Quotient rings, ideals. Field extensions, finite...
Rings; integral domains; Euclidean and principal ideal domains; polynomial rings over a field; modules over principal ideal domains and applications;...