Calculus: A Modeling and Computational Thi...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2023
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	288
Reihe:	Synthesis Lectures on Mathematics & Statistics
Inhalt:	xii 274 S. 28 s/w Illustr. 42 farbige Illustr. 274 p. 70 illus. 42 illus. in color.
ISBN-13:	9783031246807
ISBN-10:	3031246802
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Stade, Elisabeth Stade, Eric
Auflage:	2023
Hersteller:	Springer International Publishing Synthesis Lectures on Mathematics & Statistics
Maße:	246 x 173 x 22 mm
Von/Mit:	Elisabeth Stade (u. a.)
Erscheinungsdatum:	15.04.2023
Gewicht:	0,664 kg

preigu-id: 126044799