Vector spaces of functions, convergence in normed linear spaces, orthogonal polynomials, Fourier series, Fourier transform, Fast Fourier transform, introduction to wavelets, and selected applications.
Prerequisites: MATH 2013 or MATH 3503 , and MATH 2213 or MATH 1503 ( MATH 3213 recommended). NOTE: Credit will not be given for both MATH 3003 and MATH 3113.