3.00 Credits
Continuation of MATH 4630. Topics include the Riemann-Stieltjes integral, the fundamental theorem of calculus, metric spaces of functions, uniform convergence, equicontinuity, the Stone-Weierstrass theorem, changing the order of limits, derivatives, and integrals, power series, Fourier series, functions of several variables, the inverse and implicit function theorems, differential forms, Stokes' theorem. Students are expected to have completed the Real Analysis I course or a course similar to it before registering for this course.