A Project-Based Guide to Undergraduate Research in Mathematics

Beschreibung

Unsure of where to begin on mathematical research? 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.

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.

Provides students with all the tools and information they will need to pursue undergraduate research within concise and accessible chapters Guides faculty through creating sustainable research programs by offering helpful hints and tips Contains a unique chapter on pursuing research in mathematics education

Autor*in

Pamela E. Harris

Themen in »A Project-Based Guide to Undergraduate Research in Mathematics«

Undergraduate research in mathematics Phylogenetic networks Tropical Geometry Numerical Semigroups Squigonometry Mathematical Epidemiology Tilings combinatorics

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“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)
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