Open Textbook Collections

LibreTextsExplore courses, textbooks, homework exercises and ancillary materials. Topics include: Algebra, Abstract Algebra, Number Theory, Calculus, and many other mathematical topics.

Lumen LearningLumen Learning provides textbooks for Algebra, Calculus, and Statistics. Click the Mathematics tab on the left to link you directly to these three textbook options.

MERLOTMERLOT is a curated collection of free and open online teaching, learning, and faculty development services contributed and used by an international education community.

The National Academies Press (NAP)This is a great resource that provides textbooks on math and statistics.

Open Intro – StatisticsA collegelevel textbook covering data basics, probability (optional), distributions, inference for means and proportions, and regression, including multiple and the basics of logistic regression.

Open Stax CollegeOpen Stax provides textbooks on prealgebra, algebra, trigonometry, precalculus, calculus, and statistics.

Open SUNY Textbooks – Natural Resources BiometricsThree textbooks offered such as, “A Spiral Workbook for Discrete Mathematics”, “Introduction to the Modeling and Analysis of Complex Systems”, and “How We Got from There to Here: A Story of Real Analysis.”

Open Textbook LibraryBrowse a wide selection of textbooks on mathematical topics.
 Open Textbook Store
OpenTextBookStore was created by educators frustrated with the time involved in finding adoptable open textbooks, with the hope to make open textbook adoption easier for other faculty.  BC Campus Collection
Over 100 textbooks on different subjects available in different formats.  American Institute of Mathematics – Approved Open Textbooks
The website contains open textbooks by course title.  https://textbooks.math.gatech.edu/ila/
Interactive Linear Algebra
Courses and Videos

Academic EarthAcademic Earth provides resources to open courses, journals/trade magazines, grants and scholarships, internships, and student and professional memberships.

CourseraEvery course on Coursera is taught by top instructors from the world’s best universities and educational institutions. Courses include recorded video lectures, autograded and peerreviewed assignments, and community discussion forums.

Future Learn – MathematicsFuture learn provides courses such as, “Precalculus: the Mathematics of Numbers, Functions and Equations”, “Maths for Humans: Linear and Quadratic Relations”, “Big Data: Mathematical Modelling”, and “Advanced Precalculus: Geometry, Trigonometry and Exponentials.”

Khan AcademyInstructional mathematics videos on advanced topics from Algebra & Geometry to Differential Equations and Multivariable Calculus.

Mathematics – edXTake free online math courses from MIT, Caltech, Tsinghua and other leading math and science institutions. Get introductions to algebra, geometry, trigonometry, precalculus and calculus or get help with current math coursework and AP exam preparation.

MIT Open CoursewareMIT Open Courseware offers an extensive series of online courses. Courses generally include lecture videos, assignments, exams, and more.

YouTube EDU – MathematicsA collection of educational videos posted on YouTube.
 Open Course Library Resources
Refer to Section on OCL Phase 1/2 Courses Collection.  Saylor Courses
Explore the realworld applications of mathematics through algebra, calculus, statistics, and geometry. You can earn a free certificate of completion for any of these online Mathematics courses, or use many of them to earn credit in leading college programs.  Harvard Online – Mathematics
Online Mathematics Courses offered by Harvard University.  https://phet.colorado.edu/en/simulations/category/math
Free science and math simulations for teaching STEM topics, including physics, chemistry, biology, and math, from University of Colorado Boulder.
Additional Resources
 https://mathworld.wolfram.com/
The web’s most extensive mathematics resource.  https://arxiv.org/archive/math
arXiv is a free distribution service and an openaccess archive for 1,678,885 scholarly articles in the fields of physics, mathematics, computer science, quantitative biology, quantitative finance, statistics, electrical engineering and systems science, and economics.  http://www.texample.net/
TeXample.net is a web site dedicated to the wonderful world of TeX and friends.  https://math.stackexchange.com/
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.  https://betterexplained.com/
Finally understand math, don’t memorize it. The guiding philosophy is this Einstein quote: “If you can’t explain it simply, you don’t understand it well enough.” 
Need help with math? Start browsing Purplemath’s free resources.
 http://mathscheats.weebly.com/
The Mathematics Cheat Sheet  HathiTrust
HathiTrust is a partnership of academic & research institutions, offering a collection of millions of titles digitized from libraries around the world.

Virtual Math LabCreated by West Texas A&M University, the Virtual Math Lab provides tutorials for College Algebra, Intermediate Algebra, Beginning Algebra, and Math for the Sciences.
Graphing Tools and Calculators
 https://www.desmos.com/calculator
 https://www.metacalculator.com/
 https://www.geogebra.org/graphing?lang=en
 https://www.graphcalc.com/onlinegraphingcalculator/
 https://www.numworks.com/simulator/
 https://www.numberempire.com/
A website with Math tools and calculators
Video Lectures
 https://www.youtube.com/channel/UCHnj59g7jezwTy5GeL8EA_g
 https://www.youtube.com/user/blackpenredpen/videos
 https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw
 https://www.youtube.com/user/njwildberger
 https://www.minutemathtutor.com/
We are an educational math website focused on helping students and teachers primarily through videos on our YouTube Channel.  http://patrickjmt.com/
PatrickJMT: making FREE and hopefully useful math videos for the world!  http://www.mathispower4u.com/
Mathispower4u Tutorials by James Sousa