Foundations for Undergraduate Research in Mathematics: From Birdsongs to Viscosities

Callender Highlander, Hannah; Capaldi, Alex; Diaz Eaton, Carrie

Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research.

Some of the topics discussed include: 

• Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons

• Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments

• Network structure and the dynamics of biological systems

• Using neural networks to identify bird species from birdsong samples

Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

Details

Published by: Birkhäuser

Publication Date: 2021-02-18

Format: Paperback

ISBN-13: 9783030336479

DOI: 10.1007/978-3-030-33645-5

Dimensions: 235cm x155cm

Pages: 469