analytical Methods In Engineering I

Learning Outcomes of the Course Unit

1) To obtain series solution of ordinary differential equations.
2) To know Bessel’s and Legendre’s equations and to be able to solve them.
3) To know Sturm-Liouville problems and to be able to solve them.
4) To obtain a solution by orthogonal eigenfunction expansion.
5) To know Fourier series and to be able to apply.
6) To know Fourier transform and integral and to be able to apply.
7) To know Laplace transform and to be able to apply.
8) To know method of separation of variables and to be able to apply.
9) To know Laplace, Diffusion and To know Laplace, Diffusion and Wave equations and to be able to solve them.
10) To obtain solution in Polar, Cylindrical and Spherical coordinates.
11) To develop mathematical models of problems in mechanics.
12) To know basic knowledge and general concepts about partial differential equations.