A Project-Based Guide to Undergraduate Research in Mathematics

Starting and Sustaining Accessible Undergraduate Research

Pamela E. Harris, Erik Insko, Aaron Wootton (Herausgeber)

Buch | Hardcover

XI, 324 Seiten

2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-37852-3 (ISBN)

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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.

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.

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.

"The book at hand provides readers with workable, tangible, and sustainable examples of topics and areas for undergraduate mathematics students in the areas of combinatorics, number theory, graph theory, analysis, mathematics education, and applied mathematics (mathematical biology). ... This reviewer highly recommends high-impact practices: mentored undergraduate research, capstone projects, and collaborative work. In this volume, mathematics instructors and undergraduates will find deep possibilities for summer projects, senior theses, and capstone seminars." (Jennifer R. Bowen, The UMAP Journal, Vol. 44 (1), 2023)

“The book at hand provides readers with workable, tangible, and sustainable examples of topics and areas for undergraduate mathematics students in the areas of combinatorics, number theory, graph theory, analysis, mathematics education, and applied mathematics (mathematical biology). … This reviewer highly recommends high-impact practices: mentored undergraduate research, capstone projects, and collaborative work. In this volume, mathematics instructors and undergraduates will find deep possibilities for summer projects, senior theses, and capstone seminars.” (Jennifer R. Bowen, The UMAP Journal, Vol. 44 (1), 2023)

Erscheinungsdatum	20.04.2020
Reihe/Serie	Foundations for Undergraduate Research in Mathematics
Zusatzinfo	XI, 324 p. 142 illus., 81 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	670 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
Schlagworte	combinatorics • Mathematical epidemiology • Numerical Semigroups • Phylogenetic Networks • Squigonometry • Tilings • tropical geometry • Undergraduate research in mathematics
ISBN-10	3-030-37852-7 / 3030378527
ISBN-13	978-3-030-37852-3 / 9783030378523
Zustand	Neuware