Calculus Textbooks

Read more about Precalculus

Precalculus

Copyright Year: 2016

Contributors: Collingwood, Prince, and Conroy

Publisher: A.T. Still University

License: Free Documentation License (GNU)

Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind:

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Read more about Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems

Copyright Year: 2013

Contributor: Trench

Publisher: A.T. Still University

License: CC BY-NC-SA

Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

(9 reviews)

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Read more about Calculus for the Life Sciences: A Modeling Approach Volume 2

Calculus for the Life Sciences: A Modeling Approach Volume 2

Copyright Year: 2013

Contributors: Cornette and Ackerman

Publisher: A.T. Still University

License: CC BY-NC-ND

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

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Read more about Precalculus: An Investigation of Functions

Precalculus: An Investigation of Functions

Copyright Year: 2017

Contributors: Lippman and Rasmussen

Publisher: David Lippman and Melonie Rasmussen

License: CC BY-SA

Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.

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Read more about Calculus for the Life Sciences: A Modeling Approach Volume 1

Calculus for the Life Sciences: A Modeling Approach Volume 1

Copyright Year: 2011

Contributors: Cornette and Ackerman

Publisher: A.T. Still University

License: CC BY-NC-ND

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

(1 review)

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Read more about Vector Calculus

Vector Calculus

Copyright Year: 2013

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.

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Read more about Precalculus

Precalculus

Copyright Year: 2013

Contributors: Stitz and Zeager

Publisher: Stitz Zeager Open Source Mathematics

License: CC BY-NC-SA

A casual glance through the Table of Contents of most of the major publishers' College Algebra books reveals nearly isomorphic content in both order and depth. Our Table of Contents shows a different approach, one that might be labeled “Functions First.” To truly use The Rule of Four, that is, in order to discuss each new concept algebraically, graphically, numerically and verbally, it seems completely obvious to us that one would need to introduce functions first. (Take a moment and compare our ordering to the classic “equations first, then the Cartesian Plane and THEN functions” approach seen in most of the major players.) We then introduce a class of functions and discuss the equations, inequalities (with a heavy emphasis on sign diagrams) and applications which involve functions in that class.

(2 reviews)

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Read more about Whitman Calculus

Whitman Calculus

Copyright Year: 2010

Contributor: Guichard

Publisher: David Guichard

License: CC BY-NC-SA

An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

(6 reviews)

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Read more about Calculus

Calculus

Copyright Year: 1991

Contributor: Strang

Publisher: Wellesley-Cambridge Press

License: CC BY-NC-SA

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

(3 reviews)

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