Function spaces, pointwise and uniform convergence, Weierstrass approximation theorem, Lebesgue measure and Lebesgue integral on the real line, Hilbert space, Fourier series. Prerequisite(s): MATH 3001 with a grade of C- or higher, or permission of the School. Lectures three hours a week, tutorial one hour a week. [0.5 credits]
Function spaces, pointwise and uniform convergence, Weierstrass approximation theorem, Lebesgue measure and Lebesgue integral on the real line, Hilbert space, Fourier series. Prerequisite(s): MATH 3001 with a grade of C- or higher, or permission of the School. Lectures three hours a week, tutorial one hour a week. [0.5 credits]