A Project-Based Guide to Undergraduate Research in Mathematics

Starting and Sustaining Accessible Undergraduate Research
1. Auflage 2020
ISBN: 978-3-030-37852-3
Verlag: Springer International Publishing

Buch, Englisch, 324 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 670 g

Reihe: Foundations for Undergraduate Research in Mathematics

This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:• Disease modeling• Tropical curves and surfaces• Numerical semigroups• Mathematics EducationThis volume will primarily appeal to undergraduate students interested in pursuing research projects and faculty members seeking to mentor them. It may also aid students and faculty participating in independent studies and capstone projects.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Harris, Pamela E.

Wootton, Aaron

Insko, Erik

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

Folding Words Around Trees: Models Inspired by RNA.- Phylogenic Networks.- Tropical Geometry.- Chip Firing Games and Critical Groups.- Counting Tilings by Taking Walks in a Graph.- Beyond Coins, Stamps, and Chicken McNuggets: an Invitation to Numerical Semigroups.- Lateral Movement in Undergraduate Research: Case Studies in Number Theory.- Projects in (t,r) Broadcast Domination.- Squigonometry: Trigonomtry in the p-norm.- Researching in Undergraduate Mathematics Education.- Possible Directions for Both Undergraduate Students and Faculty.- Undergraduate Research in Mathematical Epidemiology.

Über Autor(innen)

Pamela E. Harris is an Assistant Professor of Mathematics at Williams College in Williamstown, Massachusetts.
Erik Insko is an Associate Professor of Mathematics at Florida Gulf Coast University in Fort Myers, Florida.
Aaron Wootton is a Professor of Mathematics at the University of Portland in Portland, Oregon.