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Birkhäuser

Mathematics Research for the Beginning Student, Volume 2

Accessible Projects for Students After Calculus

  • Textbook
  • © 2022

Overview

Editors:
  1. Eli E. Goldwyn

    1. Mathematics, University of Portland, Portland, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Sandy Ganzell

    1. Mathematics & Computer Science, St. Mary’s College of Maryland, St. Mary’s City, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Aaron Wootton

    1. Mathematics, University of Portland, Portland, USA

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  • Focuses on mathematics research topics suitable for students who have already had some exposure to calculus
  • Equips students with the tools needed to begin their own mathematics research projects with or without faculty advisors
  • Provides substantial background material and recommendations for further reading in each chapter

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Constructible Pi and Other Block-Based Adventures in Geometry

    • Casey Douglas
    Pages 1-25

  3. Numerical Simulation of Arterial Blood Flow

    • Arati Nanda Pati, Kehinde O. Ladipo
    Pages 27-74

  4. Statistical Tools and Techniques in Modeling Survival Data

    • Tom Overman, Suvra Pal
    Pages 75-99

  5. So You Want to Price and Invest in Options?

    • Albert Cohen, Sooie-Hoe Loke
    Pages 101-125

  6. The Spiking Neuron Model

    • Maxwell E. Bohling, Lawrence C. Udeigwe
    Pages 127-152

  7. Counting Lattice Walks in the Plane

    • Steven Klee
    Pages 153-180

  8. The Mathematics of Host-Parasitoid Population Dynamics

    • Brooks Emerick
    Pages 181-224

  9. Mathematical Modeling of Weather and Climate

    • Terrance Pendleton
    Pages 225-264

  10. Beyond Trends and Patterns: Importance of the Reproduction Number from Narratives to the Dynamics of Mathematical Models

    • Aditi Ghosh, Anuj Mubayi
    Pages 265-293

  11. Application of Mathematics to Risk and Insurance

    • Kumer P. Das
    Pages 295-308
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Keywords

About this book

Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students are still hard to find. To address this need, this volume provides beginning students who have already had some exposure to calculus with specific research projects and the tools required to tackle them. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. In addition to calculus, some of the later chapters require prerequisites such as linear algebra and statistics. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include:
  • lattice walks in the plane
  • statistical modeling of survival data
  • building blocks and geometry
  • modeling of weather and climate change
  • mathematics of risk and insurance

Mathematics Research for the Beginning Student, Volume 2 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have not yet studied calculus is also available.


Editors and Affiliations

  • Mathematics, University of Portland, Portland, USA

    Eli E. Goldwyn, Aaron Wootton

  • Mathematics & Computer Science, St. Mary’s College of Maryland, St. Mary’s City, USA

    Sandy Ganzell

About the editors

​​Eli Goldwyn is Assistant Professor of Mathematics at the University of Portland. His research is focused on using mathematics to better understand and manage natural populations.

Sandy Ganzell is Professor of Mathematics at St. Mary's College of Maryland. His research covers knot theory, topology of 4-manifolds, and combinatorial game theory.


Aaron Wootton is Professor of Mathematics at the University of Portland. His research interests include complex algebraic geometry, group theory, and geometric group theory.

Bibliographic Information

  • Book Title: Mathematics Research for the Beginning Student, Volume 2

  • Book Subtitle: Accessible Projects for Students After Calculus

  • Editors: Eli E. Goldwyn, Sandy Ganzell, Aaron Wootton

  • Series Title: Foundations for Undergraduate Research in Mathematics

  • DOI: https://doi.org/10.1007/978-3-031-08564-2

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-031-08563-5Published: 18 November 2022

  • Softcover ISBN: 978-3-031-08566-6Published: 18 November 2023

  • eBook ISBN: 978-3-031-08564-2Published: 17 November 2022

  • Series ISSN: 2520-1212

  • Series E-ISSN: 2520-1220

  • Edition Number: 1

  • Number of Pages: IX, 308

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Mathematics, general, Mathematics Education

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