Real Analysis

Catalog description

The course discusses the defining properties of the real numbers, the topology of the real line and its subsets, and a rigorous development of single variable Calculus including limits, sequences and series of numbers, continuity, differentiability, sequences and series of functions, the power series representation of functions, and the Riemann integral, culminating in the Fundamental Theorem of Calculus. This is an abstract mathematics course with a heavy emphasis on proofs and formal arguments rather than on computations. Even though not strictly required, it is strongly suggested that students take MATH 201 or MATH 202 before taking MATH 308. 001092