### Course Description :

This course is the second in a three course sequence in real analysis.
It provides an essential background for a variety of higher level undergraduate and
graduate courses including those in analysis, probability, geometry and topology.
We will essentially cover Chapters 1-7 of the textbook. Covered topics include: Metric spaces,
compact and complete spaces, numerical sequences and series, power series, continuity,
differentiation, Taylor's theorem, Riemann integration, the Riemann-Stieljes integral,
sequences and series of functions, uniform convergence and the Weierstrass approximation theorem.