Canonical forms, determinants, bilinear forms, groups of linear transformations, other topics selected by the instructor. Three lectures; one term ...
Introduction to scientific computations using MATLAB; topics to be selected from matrix and vector norms; sensitivity, conditioning, convergence and...
Introduction to the theory of functions of several variables: limits, continuity, differentiability. Taylor's Theorem and optimization, with...
Multiple integration, path and surface integrals and applications. Classical integration theorems of vector calculus. Three lectures; one term ...
Ordinary differential equations, Laplace transforms, eigenvalues and eigenvectors, applications. Three lectures, one lab (two hours) every other week;...
Fourier series, vector calculus, line and surface integrals, integral theorems, partial differential equations, applications. Three lectures, one lab...
Sequences of real numbers; supremum, continuity. Riemann integral, differentiation. Sequences and series of functions; uniform continuity and uniform...
Selected topics from: affine and projective geometry, Euclidean, spherical and hyperbolic geometry, differential geometry of curves and surfaces....
Linear algebra and eigenvalue problems; partial differential equations, orthogonal functions, Fourier series, Legendre functions, spherical harmonics....
Functions of a complex variable, probability and statistics, boundary value problems, Bessel functions. Three lectures; one term Prerequisite(s):...
An introduction to group theory, including Sylow theorems and structure of finitely generated Abelian groups; applications of group theory. Three...
Topics in ring and module theory, in particular principal ideal domains, unique factorization domains, Euclidean rings; field theory and Galois...
Systems of ordinary differential equations, autonomous systems in the plane, phase portraits, linear systems, stability, Lyapunov's method,...
First order equations, well-posedness, characteristics, wave equation, heat equation, Laplace equation, boundary conditions, Fourier series,...
A course designed to illustrate the principles of mathematical problem solving. Maximum enrolment is 20 students. Three lectures; one term ...
Minkowski space, Lorentz metric, Maxwell's equations, general relativity, geodesics, curvature, black hole geometries and other selected topics. Three...
Topics in partial differential equations of interest to mechanical, material and ceramic engineering, including the wave equation, the heat diffusion...
Population dynamics: models of discrete and continuous growth; competition and predation; epidemic models. Partial differential equations: diffusion...
Scientific computations using MATLAB covering the following topics: spline interpolations; approximation in Hilbert space; orthogonal polynomials;...
Postulates of quantum mechanics for finite dimensional systems; information on quantum bits, logical operations and quantum gates; quantum parallelism...