LibGuides: Open Educational Resources: Mathematics

Math Resources

Below is a selection of openly licensed textbooks that have been approved by American Institute of Mathematics (AIM).

American Institute of Mathematics Approved Textbooks

The American Institute of Mathematics (AIM) evaluates and recommends open textbooks for courses ranging from pre-calculus to upper division analysis and algebra.

Algebra

College Algebra by Jay Abramson
ISBN: 9781938168383

Publication Date: 2015-02-13

A reviewed textbook intended for adoption in introductory algebra courses. It is licensed under a Creative Commons CC-BY 4.0 License.
First Course in Linear Algebra by Robert A. Beezer
ISBN: 9780984417551

Publication Date: 2012-12-01

An introduction to the basic concepts of linear algebra, along with an introduction to the techniques of formal mathematics. Numerous worked examples and exercises, along with precise statements of definitions and complete proofs of every theorem, make the text ideal for independent study.

Calculus

Active Calculus

Active Prelude to Calculus, Active Calculus, and Active Calculus Multivariable are free, open-source calculus textbooks that is designed to support an active learning approach. The HTML version of each text offers anonymous interactive WeBWorK exercises, select interactive graphics, and full-color static graphics.
Calculus Volume 1 by Gilbert Strang; Edwin Herman
ISBN: 9781938168024

Publication Date: 2016-03-07

Part of a three-volume series of reviewed textbook intended to meet the requirements of a typical two or three semester calculus course. Volume One covers functions, limits, derivatives, and integration. It is licensed under a Creative Commons CC-BY-NC-SA 4.0 license.

Logic

A Friendly Introduction to Mathematical Logic by Christopher C. Leary
ISBN: 9781942341079

Publication Date: 2015-07-27

At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.

General Resources

Better Explained
Better Explained is a tutoring site offering additional lessons for students in college algebra, geometry, precalculus, trigonometry, calculus, statistics, and programming courses. The site is licensed under a Creative Commons CC-BY-NC-SA 3.0 US license.
Geogebra
Geogebra is a free mathematics site that combines geometry, algebra, and calculus - allowing students to do constructions with points, vectors, segments, lines, conic sections, as well as functions. Students can manipulate these constructions in real time, making it a highly dynamic mathematics software. It is licensed under terms dictated by the site.
Math Planet
Math Planet is an online collection of resources to help students study concepts related to Pre-algebra, Algebra 1 & 2, and Geometry. The site is licensed under a Creative Commons CC-BY-NC-ND 4.0 International license.
MathisPower4u.com
MathisPower4u.com is a website of more than 6,000 free mini-lessons and example videos to aid students studying algebra, geometry, trigonometry, calculus, and statistics, among other topics. The resources are licensed under a Creative Commons CC-BY-SA 3.0 Unported license, unless otherwise noted.
PhET Interactive Simulations
These online, open simulations were created by the University of Colorado-Boulder to provide new fun, free, and interactive tools for students to use. All simulations have been tested and evaluated in real-world classrooms. They are licensed under a Creative Commons CC-BY-4.0 license.

Algebra Resources

Algebra2go®
Algebra2Go was created by professors at Saddleback College, and includes a full course's worth of lectures, homework sets, topic quizzes, class notes, and study guides to aid in the study of Algebra of all levels. It is licensed under a Creative Commons CC-BY-SA 3.0 license.

Calculus Resources

Exploring Multivariable Calculus
This resource allows students to create 2-D and 3-D mathematics visualizations, allowing them to explore multivariable calculus, differential equations, and other 3-D topics within linear algebra and single variable calculus. The resource is licensed under a Creative Commons CC-BY-NC-SA 3.0 United States License.

Mathematics Software

Included in this section are a list of software, most of which were created to help with the online display of mathematics equations. They are all openly accessible, though their licenses vary in permissions granted.

MathJax
MathJax is a JavaScript display engine designed for use in all browsers. It was jointly created by the American Mathematical Society (AMS) and the Society for Industrial and Applied Mathematics (SIAM) in order to help advance mathematical and scientific content on the internet.
SageMath
SageMath is an open-source mathematics software, designed to create a viable and free alternative to mainstream, pay-to-use softwares such as Matlab. It is licensed under the GNU General Public License.
WeBWorK
Webwork is an open-source, online system for math and science homework that is supported by the Mathematical Association of America (MAA). It is complete with a National Problem Library that contains more than 20,000 homework problems for math classes of all levels.

Open Educational Resources