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Calculus

Last updated

Jan 16, 2023
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- Detailed Licensing
- Supplemental Modules (Calculus)

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Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations.

Supplemental Modules (Calculus)
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Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. Calculus has two primary branches: differential calculus and integral calculus. Multivariable calculus is the extension of calculus in one variable to functions of several variables. Vector calculus is a branch of mathematics concerned with differentiation and integration of vector fields.
Calculus (OpenStax)
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The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.
Calculus (Guichard)
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This general calculus book covers a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus.
Calculus 3e (Apex)
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Map: Calculus - Early Transcendentals (Stewart)
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Map: University Calculus (Hass et al.)
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Yet Another Calculus Text - A Short Introduction with Infinitesimals (Sloughter)
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This text is an introduction to calculus based on the hyperreal number system and uses infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, none are provided for the hyperreals. The text is aimed primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most o
Applied Calculus (Calaway, Hoffman and Lippman)
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Page notifications On picture_as_pdf Readability Cite this page An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus.
Informal Calculus with Applications to Biological and Environmental Sciences (Seacrest)
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This book is an approachable introduction to calculus with applications to biology and environmental science. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.
Book: Active Calculus (Boelkins et al.)
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The style of the Active Calculus text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number.
CLP-1 Differential Calculus (Feldman, Rechnitzer, and Yeager)
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This textbook covers single variable Differential Calculus.
CLP-2 Integral Calculus (Feldman, Rechnitzer, and Yeager)
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This textbook covers single variable Integral Calculus.
CLP-3 Multivariable Calculus (Feldman, Rechnitzer, and Yeager)
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This textbook covers multivariable Calculus. There are chapters on vectors and geometry in 2 and 3 dimensions, partial derivatives, and multivariable integrals.
CLP-4 Vector Calculus (Feldman, Rechnitzer, and Yeager)
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This textbook covers Vector Calculus. There are chapters on curves, vector fields, surface integrals and integral theorems (such as the divergence theorem).
Vector Calculus (Corral)
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The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus. Vector calculus is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space. The content in this Textmap is complemented by Vector Calculus Modules in the Core and the Vector Calculus (UCD Mat 21D) Libretext.
The Calculus of Functions of Several Variables (Sloughter)
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This textbook corresponds with a 300-level mathematics course taught at Furman University. Students should have completed four semesters of college level calculus prior to attempting this course.
Differential Calculus for the Life Sciences (Edelstein-Keshet)
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Calculus arose as a tool for solving practical scientific problems through the centuries. However, it is often taught as a technical subject with rules and formulas (and occasionally theorems), devoid of its connection to applications. In this course, the applications form an important focal point, with emphasis on life sciences. This places the techniques and concepts into practical context, as well as motivating quantitative approaches to biology taught to undergraduates.
Elementary Calculus 2e (Corral)
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This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness.

Thumbnail: A straight line tangent to a curve. (CC BY-SA 3.0 Unported; AxelBoldt via Wikicommons)

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