MTH 5110 Real Analysis 1

Credit Hours: 3

Sequences and series of functions, uniform convergence, approximation by polynomials, real analytic functions, differential calculus of functions of several variables, inverse function and implicit function theorems, Lebesgue measure, measurable functions, Lebesgue integration, absolutely integrable functions, comparisons with Riemann integral.
Background knowledge equivalent to MTH 4101 Introductory Analysis.