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Calculus: A Modeling and Computational Thinking Approach: Synthesis Lectures on Mathematics & Statistics

Autor Eric Stade, Elisabeth Stade
en Limba Engleză Paperback – 16 apr 2024
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.
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Specificații

ISBN-13: 9783031246838
ISBN-10: 3031246837
Pagini: 274
Ilustrații: XII, 274 p. 70 illus., 42 illus. in color.
Dimensiuni: 168 x 240 mm
Ediția:2023
Editura: Springer International Publishing
Colecția Springer
Seria Synthesis Lectures on Mathematics & Statistics

Locul publicării:Cham, Switzerland

Cuprins

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

Notă biografică

Eric Stade, PhD, is a 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, MA, MS, is a Professor and the Associate Director for the Applied Computer Science Program at the University of Colorado Boulder. Her research includes National Science Foundation Awards in Origami Design for the Integration of Self-assembling Systems for Engineering Innovation (ODISSEI), DataArc (Archeological Databases across disciplines), and educational software applications and simulations.



Textul de pe ultima copertă

This book is a first-semester course in calculus, which begins by posing a question: how we do we model an epidemic mathematically? The authors use this question as an immediate, natural motivation for the study of calculus, and an immediate, natural 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. Because of this, the book also explores some basic programming notions and skills.

Caracteristici

Provides full coverage of the major Calculus I topics from a contextual and computational perspective Emphasizes applications as drivers of the main mathematical ideas, rather than afterthoughts Includes exercises and worked examples to teach readers to utilize the concepts covered in the text