• FOURIER SERIES • FOURIER TRANSFORM • FUNCTION, LIMIT, CONTINUITY AND ANALYTIC FUNCTIONS • COMPLEX INTEGRATION • ZERO AND SINGULARITIES OF AN ANALYTIC FUNCTION: RESIDUE THEOREM • CONFORMAL MAPPINGS • FUNDAMENTALS OF PROBABILITY • PROBABILITY DISTRIBUTION AND EXPECTATION • SPECIAL TYPE OF DISTRIBUTION • BASIC CONCEPT OF PARTIAL DIFFERENTIAL EQUATION (PDE) • SOLUTION OF HOMOGENEOUS LINEAR PDE • SOLUTION OF PARTIAL DIFFERENTIAL EQUATION BY SEPARATION OF VARIABLES • SOLUTION OF PDE BY INTEGRAL TRANSFORM • SERIES SOLUTION OF ORDINARY DIFFERENTIAL EQUATION • BESSEL’S EQUATION AND BESSEL FUNCTIONS • LEGENDRE’S EQUATION AND LEGENDRE FUNCTIONS