Mathematical Methods

Functions of complex variable and the properties and consequences of analyticity: techniques of analytical continuation and applications; calculus of residues.

Functions of complex variable and the properties and consequences of analyticity: techniques of analytical continuation and applications; calculus of residues; Complex integration; 'Systematic' methods of obtaining 'exact' solutions of O.D.E.; in closed forms; Local and global analysis of initial and boundary values problems; Applications will include solutions of Eigenvalues of Schroedinger type equations; the classical Anharmonic oscillator; Introduction to partial differential equation methods of characteristics for solving first order p.d.e; transform methods and application to the solution of initial and boundary value problems