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A Project-Based Guide to Undergraduate Research in Mathematics: Starting and Sustaining Accessible Undergraduate Research

A Project-Based Guide to Undergraduate Research in Mathematics: Starting and Sustaining Accessible Undergraduate Research

Autorzy
Wydawnictwo Springer Nature Switzerland AG
Data wydania 18/04/2020
Liczba stron 324
Forma publikacji książka w twardej oprawie
Poziom zaawansowania Dla szkół wyższych i kształcenia podyplomowego
ISBN 9783030378523
Kategorie Metody badań: zagadnienia ogólne, Kombinatoryka i teoria wykresów
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Opis książki

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.

A Project-Based Guide to Undergraduate Research in Mathematics: Starting and Sustaining Accessible Undergraduate Research

Spis treści

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.

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