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Ryan Rogers - Qualifying Exam

Date:
-
Location:
POT 745

Title: The Impact of an Introductory Real Analysis Course on Undergraduate Students' Understanding of Function Continuity

Abstract: Undergraduate students' understanding of function continuity has not been explored broadly in previous research. The relevant findings in the literature are predominantly concerned with calculus students' understanding and misconceptions of continuity. Many of these misunderstandings are tied to the relationships which continuity has with limits and differentiability, which is perhaps unsurprising given that these notions are intimately connected to the concept of continuity. We wish to determine the impact, if any, of an introductory real analysis course on undergraduate students' understanding of function continuity and its connections to the notions of limits of differentiability.