Outline Syllabus:  Fourier series and its integration
 Fourier transform
 Partial differential equations
 Wave equation with one variable
 Method of separation of variables
 Wave equation with two variables
 Laplace's equation in rectangular, Cylindrical and spherical coordinates
 Elliptic Equations
 Parabolic Equation
 Hyperbolic equation
 Analytic functions
 Conformal Mapping
 Various integrals
 Linear Integral in the complex plane
 Cauchy's theorem
 Taylor's expansion
 Mac Lauren's expansion
 Integration by the method of residuals
 Theorem of residues
Credits: 4 Prerequisites:  Math II
 Differential Equations
