FIZ 362E - Mathematical Mthds in Physc II

Course Objectives

Special functions, hypergeometric and confluent hyper geometric functions; partial differential equations, general knowledge, method of characteristics, separation of variables method, Laplace, Helmholtz, wave and diffusion equations; Green s function method for SturmLiouville type problems, solving inhomogeneous Laplace, Helmholtz, wave and diffusion equations using the Greens Function method; İntegral transforms, Fourier transform and momentum representation, convolution theorem, Laplace transform; calculus of variations, Euler Lagrange equation, Lagrance multipliers, variation subject to constraints

Course Description

1 - To be able to solve partial differential equations in of physics 2,3 and 4 dimensions;
2 - To be able to solve inhomogenous partial differential equations of physics in 2,3 and 4 dimensions using Green s functions
3 - using integral transforms to solve physics problems;
4 - Study problems in calculus of variations.