MATH 301 Introduction to Analysis

Description. This is an introductory course in real analysis, and a gateway into advanced mathematics for undergraduate students who have completed single variable Calculus. In this class students must strive to learn and eventually to master the essential elements of advanced mathematics: abstraction of mathematical concepts, rigor in the mathematical language, and derivation of theoretical proofs. Topics of this course include logic and the construction of proofs, mathematical induction, the real number system and its topology, sequences and series of real numbers, limits and continuity of functions, derivatives, sequences and series of functions and possibly the Riemann Integral.