Basic principles of modelling and simulation, description and treatment of deterministic and random processes, computational methods and applications...
An introduction to ideal and viscous incompressible flows. Some exact and self-similar solutions of Navier Stokes equations, Boundary layer theory and...
Hamilton's equations, canonical transformations, symplectic space, Poisson brackets, integrability, Liouville's theorem, Hamilton-Jacobi theory,...
Quantum mechanical description of angular momentum; Stern-Gehrlach experiment and electron spin; addition of angular momenta; full separation of...
Scattering theory, partial wave analysis, and phase shifts; Dirac equation and the magnetic moment of the electron; many particle systems and...
Static fields (Green's functions); time varying fields; Maxwell's equations, conservation laws; non-relativistic motion of particle in static, uniform...
Hamilton's Principle; Lagrangian for continuous systems; relativistic theories of particles and fields, Green's functions; Lienard-Wiechert potential;...
Phenomenology; conservation laws and invariance principles; analysis of reactions and decays; the identification of particles; the particle spectrum;...
Basic introduction to C++, review of numerical methods applicable to problems in linear algebra and differential equations, introduction to the...
Variational principles, methods of approximation, basis functions, convergence of approximations, solution of steady state problems, solution of...
Strengths and limitations of computer algebra systems (CAS); complexity of exact computations versus possible instability of numerical computations;...
Finite difference methods, stability analysis for time-dependent problems. Antirequisite(s): Prerequisite(s): Applied Mathematics 2413 or 2813B or...
Boundary value problems for Laplace and Helmholtz equations, initial value problems for heat and wave equations, in one to three dimensions; Green's...
Fourier, Laplace and Hankel transforms with applications to partial differential equations; integral equations; and signal processing and imaging;...
Introduction to infinite dimensional linear spaces and their occurrence in applications; metric and Banach spaces: bounded operators; Volterra...
The student will work on a project under faculty supervision. The project may involve an extension, or more detailed coverage, of material presented...