MATH 401.0
Seminar
1&2(1.5S)

Students in Honours Mathematics or in Double Honours Programs in Mathematics and a second subject are required to participate in this seminar during their third and fourth years.

MATH 431.3
Ordinary Differential Equations
1/2(3L)
Prerequisite(s): MATH 277, 366 and 371.

Existence and uniqueness of solutions; time dependent and time independent linear systems; submanifolds of euclidean space, phase space, vector fields, flows; equilibria; linearization; stable, unstable and center manifolds; local bifurcations; planar flows; numerical methods.

MATH 432.3
Dynamical Systems and Chaos
1/2(3L)
Prerequisite(s): MATH 277, 266 and 379.

One dimensional dynamics; the quadratic family, symbolic dynamics and chaos. Period doubling; conservative systems, action angle variables, KAM theory; complex analytic dynamics, the Mandelbrot and Julia sets.

MATH 433.3
Applied Group Theory
1/2(3L)
Prerequisite(s): MATH 276 and 366 (or MATH 276 and 266 and permission of the instructor). MATH 277 is desirable.

Treats the following topics from group theory: permutation groups, crystallographic groups, kinematic groups, abstract groups, matrix Lie groups, group representations. Specific topics include the rotation group (spinors and quantum mechanical applications), the Lorentz group (representations and wave equations), SU (3) (its Lie algebra and physical relevance).

MATH 434.3
Applied Topology in Physics and Chemistry
1/2(3L)
Prerequisite(s): MATH 276, or 225 with permission of the instructor. It is advisable to complete MATH 371 and 379 either previously or concurrently.

Basic notions of topology, knot theory and graph theory are introduced and applied to the study of physical and chemical problems such as the classification of defects in an ordered medium as well as knotting and linking in models of DNA.

MATH 438.3
Methods of Applied Mathematics
1(3L)
Prerequisite(s): MATH 238, 276 and 277.

Calculus of variations, integral equations and applications.

MATH 439.3
Partial Differential Equations
2(3L)
Prerequisite(s): MATH 238, 276 and 277.

Classification of second order partial differential equations, some properties of elliptic, parabolic, and hyperbolic equations, applications.

MATH 485.3
Elements of General Topology
1/2(3L)
Prerequisite(s): MATH 371.

Topological spaces, separation axioms, products, quotients, convergence, connectedness, extension theorems, and metric spaces.

SPECIAL TOPICS

MATH 498.3
1/2(3S)

MATH 499.6
1&2(3S)