Date

2021

Keyword

Real analysis; inquiry-based learning; active learning; sequences; limits; continuity; Mathematics and sciences

Author

Wright, Justin

Description

This work is intended for use in a first-semester undergraduate course in real analysis that is being taught using an IBL or active-learning pedagogy. It provides the framework of a textbook that students can complete over the course of the semester by providing examples, proving theorems, or at least justifying the steps of more challenging proofs. If students are familiar with LaTeX, the can complete the work as a textbook by editing the provided files. After reviewing typical concepts from set theory and properties of the real numbers in the first chapter, the text goes on to cover sequences and their limits, limits of functions with uncountable domains, limits and continuity of functions, and a general overview of norms is provided.

URI

https://summit.plymouth.edu/handle/20.500.12774/385

Rights

http://creativecommons.org/licenses/by-nc-sa/3.0/us/