Real analysis with empty boxes
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Authors
Wright, Justin
Date
2021
Type
Book
textbook
textbook
Language
en_US
Keywords
Real analysis , inquiry-based learning , active learning , sequences , limits , continuity , Mathematics and sciences
Alternative Title
Abstract
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.
Citation
Publisher
Plymouth State University