Introductory Real Analysis I. (3 h)

Limits and continuity in metric spaces, sequences and series, differentiation and Riemann-Stieltjes integration, uniform convergence, power series and Fourier series, differentiation of vector functions, implicit and inverse function theorems. Students are advised, but not required, to take at least one proof-oriented course beyond MTH 117 before taking MTH 311 . P- MTH 113 and MTH 117 or prerequisite override required.