Topology of the reals and Euclidean n-space; compact sets; Heine-Borel and Bolzano-Weierstrass Theorems; connected sets; mappings; continuity and uniform continuity; differentiability; uniform convergence; power series; Inverse Function Theorem; Implicit Function Theorem; integration; and other topics depending on the particular emphases of the students in the class. This course is offered in the Fall of odd-numbered years.