Scalars and vectors, basis vectors, Vector products, triple products, summation convention, norm, orthogonality, ortho-normal bases, Kronecker delta and linearity of vector operations. Complex numbers, Fourier series, power series, notation of function spaces, dot product in function space, periodic functions, Fourier series and decomposition, Fourier series derivation, exponential form, square wave, properties, linearity, time shift and reversal and scaling. Fourier transform, periodic versus non-periodic, derivation of Fourier integrals from Fourier series, forward and inverse Fourier transforms, Fourier transform of square wave, Dirac delta function and Kronecker delta, Heaviside... -- Course Website
