The complex derivative and planar mappings. Analytic and harmonic functions. Conformal mappings. Elementary functions. Cauchy-Goursat theorem. The...
Development, analysis, and interpretation of mathematical models of biological phenomena. Emphasis will be on deterministic discrete and continuous...
A rigorous treatment of the qualitative theory of ordinary differential equations and an introduction to the modern theory of dynamical systems,...
In this course students will discuss selected topics at an advanced level. It is intended mainly for mathematics students in the 6th to 8th semester....
In this course students will discuss selected topics at an advanced level as in MATH*4050, but with different choice of topic. (Offered in...
Study of selected topics in applied mathematics at an advanced level, intended mainly for mathematical science students in the 7th or 8th semester....
Finite symmetric groups, dihedral and cyclic groups with applications to the group of symmetries of a geometric figure in the plane. Polya-Burnside...
Sequences and series of functions. Stone-Weierstrass approximation theorem. Compactness in function spaces. Introduction to complex dynamics and the...
Hilbert and Banach spaces are covered including applications to Fourier series and numerical analysis. Other topics include the Hahn-Banach theorem;...
A study of selected advanced topics in mathematical modeling, to include model formulation, techniques of model analysis and interpretation of...
Theory of 1st and 2nd order partial differential equations with examples. Classification of linear second order PDE. Theory and examples of associated...
Classical geometry of the plane and 3-space. Non-Euclidean geometries. Elementary topology of graphs and surfaces. Topics to be selected from:...
Numerical solution of linear systems, differential equations; the algebraic eigenvalue problem, interpolation and approximation of functions,...
Mathematical modeling of environmental transport systems. Linear and nonlinear compartmental models. Convective and diffusive transport. Specific...
Each student in this course will undertake an individual research project in some area of mathematics, under the supervision of a faculty member. A...