MSc Mathematics Course

The  laws of nature are written in the language  of partial differential equations. Therefore, these equations arise as models in virtually all branches of science and technology. This course is an introduction to this subject and it  helps you to understand what this vast subject is about. The pre requisites of this course are  basic calculus, elementary linear algebra and some experience with ordinary differential equations. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to de-rive exact solutions of some simplified problems. Topics like separation of variables and energy ar-guments, are discussed for the three basic linear partial differential equations, i.e. the heat equa-tion, the wave equation, and Poisson’s equation.

Calculus of functions of several variables , geometry of curves and surfaces