Calculus: A Modeling and Computational Thinking Approach

Eric Stade, Elisabeth Stade (Autoren)

Buch | Hardcover

XII, 274 Seiten

2023 | 2023
Springer International Publishing (Verlag)
978-3-031-24680-7 (ISBN)

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This book is intended for a first-semester course in calculus, which begins by posing a question: how do we model an epidemic mathematically? The authors use this question as a natural motivation for the study of calculus and as a context through which central calculus notions can be understood intuitively. The book's approach to calculus is contextual and based on the principle that calculus is motivated and elucidated by its relevance to the modeling of various natural phenomena. The authors also approach calculus from a computational perspective, explaining that many natural phenomena require analysis through computer methods. As such, the book also explores some basic programming notions and skills.

Eric Stade is Professor of Mathematics at the University of Colorado Boulder. He teaches courses ranging from Math for Elementary Teachers to graduate Number Theory, and his interests span pure mathematics, applied mathematics, and mathematics education. He is the recipient of various teaching awards, including the American Mathematical Society’s 2018 Award for Impact on the Teaching and Learning of Mathematics. He has been active for over a decade in designing and implementing First Year curricula and experiences at CU Boulder. Elisabeth Stade is a mathematician, artist, archeologist, maker, and Professor of Computer Science at the University of Colorado Boulder. Her research, public talks, and projects explore the intersection of Mathematics and the Arts, and includes the construction of CU Geometry Point, an interactive outdoor mathematics park. She has also been principal investigator for National Science Foundation Awards in Origami Design for the Integration of Self-assembling Systems for Engineering Innovation (ODISSEI) and DataArc (Archeological Databases across disciplines). She lives in Colorado.

1. A Context for Calculus.- 2. The Derivative.- 3. Di erential Equations.- 4. Accumulation functions and the integral.- 5. Techniques of Integration.

Erscheinungsdatum	16.04.2023
Reihe/Serie	Synthesis Lectures on Mathematics & Statistics
Zusatzinfo	XII, 274 p. 70 illus., 42 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	168 x 240 mm
Gewicht	613 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Calculus for life sciences • Dynamical Systems • First-Semester Calculus • Mathematical Biology • Mathematical Modeling • Modeling Epidemics • Numerical Methods
ISBN-10	3-031-24680-2 / 3031246802
ISBN-13	978-3-031-24680-7 / 9783031246807
Zustand	Neuware