All original content on this page is licensed under a Creative Commons AttributionShareAlike 4.0 International License. All linkedto content adheres to its respective license. Content in this guide is based on the a guide by the OER Office at University of Oklahoma Libraries.
On this page you will find several open Mathematics textbooks along with supplemental material and a few lecture videos.
The purpose of these discipline specific pages is to showcase content that might be of interest to faculty who are considering adopting open educational resources for use in their classes. This list of content is by no means exhaustive. The nature of open educational resources is very collaborative and it is in that spirit that we encourage any comments about the content featured on this page or recommendations of content that are not already listed here.
Calculus eBook Dr. Kurt Gramoll This Calculus eBook written by OU professor, Dr. Kurt Gramoll, features all of the main topics of Calculus. Each topic is divided into a number of subcategories that broadens the user's understanding as well as supports the main concepts of Calculus. Each subcategory is further divided into a case introduction, theory, case solution, and a simulation which the user can manipulate, giving the opportunity to enhance the user's understanding of the material. Author: Dr. Kurt Gramoll, University of Oklahoma
The contents of eCourses are licensed under a Creative Commons AttributionNonCommercialShareAlike license.


American Institute of Mathematics Approved Textbooks This is a collection of openly licensed Math textbooks approved by the American Institute of Mathematics. Books span Liberal Arts Math, Precalculus, Linear Algebra, Discrete Structures, and Complex Analysis among others. "To gain our seal of approval an open source mathematics textbook must be able to serve as the primary text in a mainstream mathematics course at the undergraduate level in U.S. colleges and universities. That means that we are not evaluating instructional modules, Java applets, supplementary lecture notes, or other materials that are designed for limited use within a course. Since the minimum length of a traditional course is 10 weeks with 30 hours of class instruction, the books we evaluate must have enough material for that, and most will have more since most college courses are 14 or 15 weeks in length with at least 40 hours of class time." Read More AIM Editorial Board David Austin, Mathematics, Grand Valley State University George Jennings, Mathematics, California State University Kent E. Morrison (chair), Mathematics, California Polytechnic State University Frank Sottile, Mathematics, Texas A&M Katherine Yoshiwara, Mathematics, Los Angeles Pierce College Copyright rights vary within this collection; however, the American Institute of Mathematics recommend that books in the collection be openly licensed under a GNU Free Documentation License of a Creative Commons License. Check individual items for copyright status. 

College Algebra, College Trigonometry, Precalculus Carl Stitz and Jeff Zeager The material [in these books] is presented at a level that definitely prepares a student for Calculus while giving them relevant Mathematics which can be used in other classes as well. Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The answers to nearly all of the computational homework exercises are given in the text and we have gone to great lengths to write some very thought provoking discussion questions whose answers are not given. As a contribution to the opensource community, all LaTeX files used to compile this book are available for free under a Creative Commons license at the author's website. Stitz Zeager In addition to our own two schools, we learned that 26 institutions across the US (and some abroad!) have taken our materials, put in their own hard work, and made it into something for their students to use! We've helped roughly 7500 students save a collective $780,000! (If the stats from our own schools are included, those numbers soar to roughly 13,000 students and $1.2 million!) Authors: College Algebra book reviews are available via Open Textbook Library.
Textbooks written by Stitz and Zeager are licensed under Creative Commons AttributionNonCommercialShareAlike 3.0 Licenses.


Published in 1991, this book is a resource for educators and selflearners alike. It is well organized, covers single variable and multivariable Calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide. In addition to these textbased materials, Strang has developed a video playlist, the Big Picture of Calculus in which he explains the conceptual highlights of Calculus. Instructor: Gilbert Strang, Ph. D., Massachusetts Institute of Technology, Mathematics Use of the MIT OpenCourseWare site and materials is subject to their Creative Commons License and other terms of use. 

Elementary Differential Equations with Boundary Value Problems William F. Trench Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. This text includes 1695 numbered exercises, many with several parts ranging in difficulty from routine to very challenging. Written informally, this book is mathematically accurate and is illustrated by appropriate graphics. This text is accompanied by its solution manual. William F. Trench Author: William F. Trench, Ph. D., Trinity University, Mathematics This text is licensed under a Creative Commons AttributionNonCommercialShareAlike 3.0 License. 

StreetFighting Mathematics Sanjoy Mahajan StreetFighting Mathematics — the title refers to the fact that in a street fight, it’s better to have a quick and dirty answer than to stand there thinking about the right thing to do — is based on the premise that we can and should use rapid estimation techniques to get rough answers to difficult problems. There are good reasons for preferring estimation over rigorous methods: the answer is arrived at quickly, the full set of input data may not be needed, and messy calculusbased or numerical techniques can often be avoided. Perhaps more important, by avoiding a descent into difficult symbol pushing, a greater understanding of the problem’s essentials can sometimes be gained and a valuable independent check on rigorous — and often more error prone — methods is obtained. John Regehr, Associate Professor of Computer Science at the University of Utah Author: Sanjoy Mahajan, Applied Science and Engineering, MIT This text is licensed under a Creative Commons AttributionNonCommercialShareAlike 3.0 License. 

Calculus (in three semesters) University of Wisconsin At the link, there can be found all necessary course materials for three semesters of Calculus instruction. The material is separated in a traditional way. The textbooks available here can be downloaded with answers and without. Latex and figure files are available for download and modification if desired. Supplementary material is also included here including project files, tips on grading projects and condensed study material for students on topics including, basic Trig. properties, epsilondelta definition of a limit, and when not to use L'Hopital's rule. Authors:
Laurentiu Maxim, Mathematics, University of Wisconsin Evan Dummit, Mathematics, University of Wisconsin Joel Robbin, Mathematics, University of Wisconsin This material is licensed under the terms of the GNU Free Documentation License, Version 1.2.


This textbook takes a developmental approach to the standard topics of Linear Algebra, Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. This text can be downloaded in PDF form for viewing and TeX form for editing. Author: Jim Hefferon, Mathematics, Saint Michael's College This material is licensed under a Creative Commons AttributionShareAlike license. 

Historical Math Monographs  Cornell University The Cornell University Library Historical Mathematics Monographs is a collection of selected monographs with expired copyrights chosen from the mathematics field. These were monographs that were brittle and decaying and in need of rescue. Also check ou the University of Michigan Historical Mathematics Collection, a growing library of books selected from the University of Michigan mathematics collection that have been digitized to improve access and to preserve the content of these books. All of the books in this collection were published in the 19th or early 20th century. 

Abstract Algebra: Theory and Applications  Thomas Judson This text was originally published by PWS Publishing Company in 1994; however, since then the copyright has been transferred back to its author who actively develops the book. The book is formatted with MathBook XML whose full source is available for download and modification. Periodically, PDF versions of thet including the most recent revisions are made available. Author: Thomas Judson, Stephen F. Austin State University This textbook is licensed under a GNU Free Documentation License 

Abstract Algebra: The Basic Graduate Year This is a complete Abstract Algebra textbook that contains exercises and solutions. Each chapter is downloadable individually. Author: Robert B. Ash, University of Illinois This textbook may be copied both digitally or physically; however, all other rights are reserved by its author. 
Anyone who works with LaTeX knows how timeconsuming it can be to find a symbol that you cannot memorize the markup for. Detexify is an attempt to simplify the search. Users draw a symbol in a window on the page and Detexify matches it to its corresponding LaTeX markup.


GeoGebra is dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easytouse package. GeoGebra is a rapidly expanding community of millions of users located in just about every country. GeoGebra has become the leading provider of dynamic mathematics software, supporting science, technology, engineering and mathematics (STEM) education and innovations in teaching and learning worldwide. GeoGebra is licensed under the GeoGebra NonCommercial License Agreement.


Sage is a free opensource mathematics software system licensed under the GNU General Public License. It build on top of many existing opensource packages: NumPy, SciPy, matplotlib, Sympy, GAP, FLINT, R, and many more. Sage accesses the combined power of these through common, Pythonbased language or directly via interfaces or wrappers. Tutorials and Documentation are available. This software is licensed under the GNU General Public License. 

Online Interactive Graphing Application Desmos Desmos is a math engine that can graph any equation, including derivatives and Fourier series. Interactive sliders enable users to demonstrate function transformations. The graphing calculator operates on any computer or tablet without requiring any downloads. Desmos is completely free to use. A free account is required to save plots and to export plots as images. Desmos is subject to its terms of use. "Desmos does not claim ownership of any formulae, information, data, text or other materials you submit for display... However, you grant to Desmos an irrevocable license ... to use, distribute, ... , [and] publicly display User Submissions." 

Mathcentre provides support material for a variety of math classes. Math centre is divided in classes and each class is separated into key topics featuring videos and reference sheets on topic specific material. Material on mathcentre is licensed under a Creative Commons AttributionNonCommercialNoDerivatives License. 

MyOpenMath is a free and open version of MyMathLab or WebAssign. Instructors can create randomized algorithmically generated problems for their students or choose from problems already created by other instructors. These problems will be automatically graded and are viewable from an instructor's account. Because of its open nature, MyOpenMath allows students to create free accounts that allow them access to randomized practice problems and the possibility of unlimited practice. 
Khan Academy offers a number of video tutorials spanning, Algebra Trigonometry, Calculus, Differential Equations, Linear Algebra, and Statistics. Most videos are on the order of a few minutes long and are primarily example and intuitionbased rather than proofbased. This work is licensed under a Creative Commons AttributionNoncommercialShare Alike 3.0 United States License. 

Mathematics Courseware Massachusetts Institute of Technology MIT has provided many Math classes complete with video lectures, homework problems, and lecture notes. Use of the MIT OpenCourseWare site and materials is subject to their Creative Commons License and other terms of use. 

Unconventional from an instructional perspective, Vi Hart's videos are more inspiring and attentiongrabbing than they are formally educational. These videos put math concepts in terms of silly characters and put topics such as Fibonacci numbers, fractals and pi in a recreational light. Vi Hart videos are available for download at her website and can be viewed on YouTube. These videos are licensed under a Creative Commons AttributionNonCommercialShareAlike license. 

Calculus I New York University This course is a study of the foundations of Calculus, the study of functions and their rates of change. A goal of this course is for learners to be able to model situations in order to solve problems. For learners who have already taken a Calculus course these lectures will provide perspective that hopes to broaden your current understanding of Calculus. Instructor: Matthew Leingang, New YorkUniversity, Mathematics The content in this course is licensed under a Creative Commons AttributionNonCommercialShareAlike license. 