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

Pre-requisites:

• Math II
• Differential Equations