Sequence of two courses to extend studies of calculus and analysis into the mathematical rigor and logic of analysis.
Analysis refers to the mathematical theory of functions.
Introductory Real Analysis explores the nature of the mathematics behind calculus. The most important mathematical objects that we deal with in this course are real numbers, functions, and limits. In addition, we take a hard look at the notion of convergence and what it means intuitively, as well as putting it on a rigorous mathematical foundation. Sequences and series of both real numbers and functions are investigated. In addition, this course serves to introduce the student to the nature of mathematical arguments and proofs.