Mat7209 Applied Methods of Mathematical Physics

Mathematical physics deals with problems of a physical nature within frameworks of mathematical models.  The mathematical analysis of integral representation for solving wave equation is discussed.  

Course Objectives

• By the end of the course, students should have acquired foundation knowledge in mathematical physics and should be able to make use of the concepts of complex analysis, saddle point methods, Green function techniques, acoustic boundary value problems to solve real world problems.

Learning Outcomes
On completion of this course a student should be able to:

• Apply techniques of complex analysis, such as contour integrals and analytic continuation, to the study of special functions of mathematical physics
• Calculate approximations to integrals by appropriate saddle point methods
• Solve partial differential equations with appropriate initial or boundary conditions with Green function techniques
• To derive integral representations for the scalar wave equations and to briefly address the uniqueness.
• To apply the integral representation to a number of acoustic boundary value problems.