Exploring Mathematics with CAS Assistance: Topics in Geometry, Algebra, Univariate Calculus, and Probability (Classroom Resource Materials) - Softcover

Lydia S. Novozhilova (author)|Robert D. Dolan (author)

Softcover

ISBN 10: 147046988X ISBN 13: 9781470469887

Publisher: American Mathematical Society, 2023

Synopsis

Exploring Mathematics with CAS Assistance is designed as a textbook for an innovative mathematics major course in using a computer-algebra system (CAS) to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, single-variable calculus, and probability. The goal is to provoke an inquiry mindset in students and to arm them with the CAS tools to investigate low-entry, open-ended questions in a variety of mathematical arenas. Because of the modular design, the individual chapters could also be used selectively to design student projects in a number of upper-division mathematics courses. These projects could, in fact, lead into undergraduate research projects. The existence of powerful computer-algebra systems has changed the way mathematicians perform research; this book enables instructors to put some of those new methods and approaches into their undergraduate instruction.

Prerequisites include a basic working knowledge of discrete mathematics and single-variable calculus. Programming experience and some basic familiarity with elementary probability and statistics are beneficial but not required. The book takes a software-agnostic approach and emphasizes algorithmic structure of solution methods by systematically providing their step-by-step verbal descriptions or suitable pseudocode that can be implemented in any CAS.

About this title

About the Author

Lydia S. Novozhilova, Western Connecticut State University, Danbury, CT.

Robert D. Dolan, University of Connecticut, Storrs, CT.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2023
• Language: English
• ISBN 10: 147046988X
• ISBN 13: 9781470469887
• Binding: Paperback
• Number of pages: 245