The course will include group work and student presentations. Advanced Differential Equations Fundamentals of ordinary and partial differential equations, initial value and boundary value problems, including numerical methods. Course includes an introduction to the Matlab programming environment. 7243 Computational Linear Algebra Computational techniques for the solution of systems of linear and non-linear algebraic equations. Emphasis on the intelligent use of existing software packages.
Laboratory exercises using matrix based computational environments required.
An introduction to numerical techniques for unconstrained and constrained optimization. Applications to nonlinear regression and science and engineering problems. Numerical Differential Equations Numerical analysis of engineering and scientific problems with special emphasis on discrete techniques for ordinary and partial differential equations and on problem formulation and solution. 7353 Discrete and Integral Transforms Fourier, Laplace, Wavelet and other discrete and continuous transforms with applications to the analytical solution of partial differential equations, data compression, image processing and filtering. 7413 Mathematical Problems from Industry Students will explore the possible solution of mathematical problems postulated by visiting scientists and engineers from industrial and commercial concerns.