Laplace transformation: definitions, properties and theorems, Inverse transform, Solution of
ordinary differential and integral equations by Laplace transform, Heaviside function and related
theorems, Periodic functions and Dirac delta functions, Applications, Vector analysis: scalar and
vector fields, Directional derivative, gradient, divergence and curl, Gauss's and Stokes's
theorems, Fourier series: usual and arbitrary period, Fourier series of odd and even functions,
Definitions and properties of Fourier transform with applications, Partial differential equations:
definitions, types- D'fflambert solution of wave problem, Separation of variables for heat, wave,
Laplace's equations in different systems of coordinates.
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