Description

In the first of this course, we discuss the solution of ordinary differential equations with variable coefficients using Taylor's, power series and Frobenius methods, then we go into some special differential equations, as Legendre and Bessel differential equations which lead us to some special functions, as Legendre, Bessel, Gamma and Beta functions. After that we study the method of separation of variables to solve partial differential equations that help us to study some applications like heat transfer in a bar, vibrating of a string and potential fields. In the last of this course, we discuss some special complex transformations, conformal mappings, such as bilinear and Schwarz Christoffel transformations.

Program

Bachelor degree in Chemical and Petrochemical Engineering Department (144)

Objectives

• In the first of this course, we discuss the solution of ordinary differential equations with variable coefficients using Taylor's, power series and Frobenius methods, then we go into some special differential equations, as Legendre and Bessel differential equations which lead us to some special functions, as Legendre, Bessel, Gamma and Beta functions. After that we study the method of separation of variables to solve partial differential equations that help us to study some applications like heat transfer in a bar, vibrating of a string and potential fields. In the last of this course, we discuss some special complex transformations, conformal mappings, such as bilinear and Schwarz Christoffel transformations.