MATH 572 Real Analysis 2

The Reimann-Stieltjes integral and Fundamental Theorem of Calculus. Sequences and series of functions. Differential calculus of functions of several variables. Inverse and implicit function theorems. Extremum problems. Lebesgue integration and comparison with the Riemann integral. Prerequisite: MATH 471 or MATH 571. Not open to students who have credit in MATH 472.