MDM501 ADVANCED ENGINEERING MATHEMATICS
| Course Code: | 8760501 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Design and Manufacturing |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
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.