2022 by David Guichard, Whitman College.
Libretext modular format. General calculus book covers a standard course sequence: single variable calculus, infinite series, and multivariable calculus.
Updated 2022 by Senior Contributing Editors Gilbert Strang, Massachusetts Institute of Technology, Edwin Herman, University of Wisconsin-Stevens Point.
Guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. The book is published in three volumes: Volume 1 covers functions, limits, derivatives, and integration.
Updated 2022 by Senior Contributing Editors Gilbert Strang, Massachusetts Institute of Technology, Edwin Herman, University of Wisconsin-Stevens Point.
Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
2107 by Steve Schlicker, David Austin, Matthew Boelkins, Grand Valley State University
Designed to support an active learning approach in the third semester of calculus, including more than 100 activities and 300 exercises. In the HTML version, more than 200 of the exercises are available as anonymous interactive WeBWorK exercises.
Each section has at least 3 in-class activities. The text is comprised of a brief introduction, a preview activity, exposition, and several more activities. Each section includes a short summary and exercises.
Updated 2020 by Don Shimamoto, Swarthmore College.
Covers the standard material for a one-semester course in multivariable calculus. Topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. The book is written to get to the exercises as quickly as possible.
Updated 2022 by Senior Contributing editors Gilbert Strang, Massachusetts Institute of Technology, Edwin Herman, University of Wisconsin-Stevens Point.
Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
2013 by Carl Stitz, Lakeland Community College, Jeff Zeager, Lorain County Community College.
Introduces functions first, then introduces a class of functions and discusses the equations, inequalities, (with emphasis on sign diagrams), and applications which involve functions in that class. The answers to nearly all of the computational homework exercises are given in the text. We chose smaller sets of questions which cover all of the necessary skills and get the students thinking more deeply about the Mathematics involved.
Trigonometry by Katherine Yoshiwara. 2018Table of contents:
Triangles and Circles
Trigonometric Ratios
Laws of Sines and Cosines
Trigonometric Functions
Equations and Identities
Radians
Circular Functions
Using Identities
Vectors
Polar Coordinates and Complex Numbers
Trigonometry by Sundstrom & Slicker 2016This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged.
Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section. Each section also contains several progress checks that are short exercises or activities designed to help readers determine if they are understanding the material. In addition, the text contains links to several interactive Geogebra applets or worksheets. These applets are usually part of a beginning activity or a progress check and are intended to be used as part of the textbook.
Publication Date: November, 2016
Algebra and Trigonometry by Abramson et. al. 2015Summary
Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book meets the needs of a variety of courses. Algebra and Trigonometry offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
Senior Contributing Authors
Jay Abramson, Arizona State University
Contributing Authors
Valeree Falduto, Palm Beach State College
Rachael Gross, Towson University
David Lippman, Pierce College
Melonie Rasmussen, Pierce College
Christina Fernandez
Harold Whipple, Formerly of Columbia College
Jean-Marie Magnier, Springfield Technical Community College
Rick Norwood, East Tennessee State University
Nicholas Belloit, Florida State College at Jacksonville
Errata
All OpenStax textbooks undergo a rigorous review process. However, like any professional-grade textbook, errors sometimes occur. The good part is, since our books are web-based, we can make updates periodically. If you have a correction to suggest, submit it here. We review your suggestion and make necessary changes.
Publish Date:
Feb 13, 2015
Print:
ISBN-10: 1-938168-37-2
ISBN-13: 978-1-938168-37-6
Digital:
ISBN-10: 1-947172-10-7
ISBN-13: 978-1-947172-10-4
Algebra and Trigonometry by OpenStax is licensed under Creative Commons Attribution License v4.0
College Trigonometry by Stitz & Zeiger 2011Dr. Stitz and Dr. Zeager co-wrote this college algebra textbook with the vision of creating a high-quality, open-source textbook that is within reach and accessible to the average college student. In recognition of their work, both authors received the prestigious Faculty Innovator Award from the University System of Ohio in 2010.
A quick glance at the table of contents shows that all the major topics of a college trigonometry course are included. We cover Conics and Rational Functions in our Trigonometry course. While not found in this textbook, they are covered in the companion College Algebra textbook. We will have to combine the two text books is some form to continue the same coverage as we have enjoyed in the past.