Transform Methods and Partial Differential Equations

This is an applied mathematics course in which advanced methods are used to solve problems in Physics, Engineering, Environment, Ecology, Epidemiology and other related fields. It is   helpful in the solution of dynamical systems, which virtually appear in every field of science, from oscillating reactions in chemistry to the chaotic circuits in electrical engineering and motions in celestial mechanics. The course also gives the basic theory of PDEs with examples of where these methods come from and how they work.