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. Preq: MATH 4630.