Academic Catalog

MDM501 ADVANCED ENGINEERING MATHEMATICS

Course Code:	8760501
METU Credit (Theoretical-Laboratory hours/week):	3(3-0)
ECTS Credit:	8.0
Department:	Mechanical Design And Manufacturing
Language of Instruction:	English
Level of Study:	Graduate
Course Coordinator:	Prof.Dr. IÞIK HAKAN TARMAN
Offered Semester:	Fall and Spring Semesters.

Course Content

Review of ordinary differential equations;linear differential equation of the first order;linear differential equations with constant coefficients;particular solitions by variations of parameters.Power series solutions;method of Frobenius;Legendre`s equation;Fourier-Legendre Series;Bessel`s equation; modified Bessel equation.Fourier methods;Fourier series;Sturm-Liouville theory;Fourier integral;Fourier transformation. Partial differantial equations;heat conduction equation; seperation of variables; waves and vibrations in strings;wave equations; D Alembert`s solution; longitudinal vibrations in an elastic rod;two dimensional stress systems;solution of Navier`s equations by the application of Fourier transforms;Laplace equation.