Notes for Applied Mathematics - 2 - M-2 by Ranu Singh

Legendre's equation, Frobenious method and Bessel's equation

Laplace Transform

Unit Step function, Dirac delta function

Convolution, Integral Equation, , Application to solve differential and integral equations

Systems of differential equations

Periodic functions, Even and Odd functions, Fourier series, Half Range Expansion, Fourier Integrals, Fourier sine and cosine transforms, Fourier Transform

Vector and Scalar functions and fields, Derivatives, Gradient of a scalar field, Directional derivative, Divergence of a vector field, Curl of a vector field.