Mathematics Research for the Beginning Student, Volume 2

ISBN-13: 9783031085666 / Angielski / Miękka / 2023

Opis

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.

Spis treści

Constructible Pi and other block-based adventures in geometry.- Numerical Simulation of Arterial Blood Flow.- Statistical tools and techniques in modeling survival data.- So you want to price and invest in options?.- The Spiking Neuron.- Counting lattice walks in the plane.- The Mathematics of Host-Parasitoid Population Dynamics.- Mathematical Modeling of Weather and Climate Change.- Beyond Trends and Patterns: Importance of the Reproduction Number from Narratives to the Dynamics of Mathematical Models.- Application of Mathematics to Risk and Insurance.

O autorze

​​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.