Description

Linear PDEs and basic problems – Equations of parabolic type with one and two space variables – Hyperbolic equations with one and two space variables – Elliptic equations with two space variables – Higher order PDEs – Nonlinear modal equations – First order nonlinear equations and applications – Special s and their properties – Gama, Beta and Error s – Bessel and Airy s – Legendre and associated Legendre s – Laguerre and associated Laguerre s – Hermite Polynomials and Weber Hermite s.

Program

M.Sc. in Mechanical Engineering

Objectives

• After completing this course the student should be able to use mathematical methods to solve engineering problems. In particular, the student will be able to solve a variety of second order differential equations, selecting from several techniques covered in the syllabus. Apply mathematical methods to solve important Laplace, Poisson, wave and heat equations. Identify specific types of equations and decide on appropriate mathematical methods to find the solution. Use various theoretical mathematical ideas and results in this course to analyze certain physical problems.