28 resources · 27 free
Math & Sciences
Build math and science foundations — algebra, calculus, physics, and beyond.
Khan Academy Math
A comprehensive free math curriculum from early arithmetic through multivariable calculus, statistics, and linear algebra. Video lessons pair with thousands of interactive practice exercises that adapt to your level and award mastery points as you progress. Covers grades K-12 and early college math. Ideal for students, self-learners, and adults rebuilding fundamentals, used by millions worldwide as a nonprofit resource.
Paul's Online Math Notes
Complete, freely accessible lecture notes for Algebra, Trigonometry, Calculus I-III, and Differential Equations written by Professor Paul Dawkins. Each section explains concepts in plain language, works through fully solved examples, and ends with practice problems that include answers and full solutions. A favorite companion for college math students and self-studiers preparing for calculus sequences.
3Blue1Brown
Grant Sanderson's celebrated YouTube channel that makes advanced mathematics visually intuitive through custom animation. Signature series like Essence of Linear Algebra, Essence of Calculus, and Neural Networks build deep conceptual understanding rather than rote memorization. Free on YouTube with millions of subscribers and widely regarded as the best math visualization on the internet. Great for pairing with any course or textbook.
OpenStax Mathematics Textbooks
Peer-reviewed, openly licensed college math textbooks from Rice University, including Algebra, Precalculus, Calculus volumes, Statistics, and more. Every book is free to read online or download as a PDF, with low-cost print options, and includes worked examples, exercises with answer keys, and instructor resources. The standard free-textbook choice for college math courses and self-study alike.
AoPS Alcumus
Alcumus is Art of Problem Solving's adaptive online learning system, entirely free for everyone. It serves thousands of problems across prealgebra, algebra, geometry, counting and probability, number theory, and precalculus, matched to your skill level, with hints, detailed solutions, and progress tracking. The best free practice surface for contest math and for strong students who find standard coursework too easy.
Project Euler
A collection of over 900 mathematical programming problems designed to be solved with code. Each problem requires mathematical insight plus programming skill, and the site verifies your answers and tracks progress on a global leaderboard. Ideal for developers and math enthusiasts who want rigorous, challenge-based practice that combines both disciplines. Free to join and used by learners worldwide since 2001.
Investopedia Financial Terms Dictionary
Investopedia's Financial Terms Dictionary is a free A-to-Z reference of finance and investing terminology, with thousands of clearly written definitions of concepts from accounting and markets to personal finance. Each term page explains the meaning, history and context, often with worked examples and related readings. It is useful studied material for beginners building finance vocabulary and for self-directed investors. The site is ad-supported and free to read.
Open Syllabus Project
Open Syllabus is a nonprofit archive of tens of millions of college syllabi collected from university websites, searchable by course, school, field and assigned texts. You can browse real course outlines and reading lists to see how subjects are taught across thousands of institutions, useful for self-study planning and curriculum exploration. Core exploration tools are free to use, with subscription tiers aimed at institutions and publishers.
AnkiDroid
Free, open-source Android app for the Anki spaced-repetition system: create flashcards, download shared decks from AnkiWeb, and let the scheduler surface cards right before you forget them. The app is the daily practice surface for memorizing languages, medicine, history, and any fact-based skill. https://ankidroid.org Pairs with Anki Desktop; supported by donations only, no paywalls.
PhET Interactive Simulations
University of Colorado Boulder's free library of 150+ interactive science and math simulations — run physics, chemistry, biology, and math experiments in your browser and manipulate variables live. Each simulation is a sandbox practice surface: build circuits, bounce waves, mix solutions, and observe cause and effect instantly. https://phet.colorado.edu Trusted by teachers worldwide; completely free for students and classrooms.
Exploratorium Science Snacks
Hundreds of hands-on science experiments from the Exploratorium museum, each built from cheap everyday materials: optics, electricity, magnetism, sound, and more. Every snack has step-by-step instructions, the science behind it, and safety notes, making it a guided experiment you actually build. Perfect for students and teachers learning physics and chemistry by doing.
PubMed Central
Free full-text archive of biomedical and life sciences journal literature from the US National Institutes of Health. Every article is a primary source readable in full without a paywall, letting you study research methods and findings directly and follow citation trails into deeper study of medicine and biology.
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Stanford Encyclopedia of Philosophy
Peer-reviewed scholarly encyclopedia of philosophy maintained by Stanford University, with free in-depth articles written by experts and kept current. Each entry is studied material that teaches a concept from first principles, with bibliographies guiding further study.
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Internet Archive
Free digital library preserving billions of web pages, books, texts, audio, and historical software. Study primary historical documents and out-of-print books directly, explore the Wayback Machine's record of web history, and practice research with original sources.
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MIT OCW Single Variable Calculus (18.01SC)
MIT OpenCourseWare's Single Variable Calculus (18.01SC) delivers complete free course materials: video lectures, lecture notes, problem sets with solutions, and exams covering limits, derivatives, integrals, and applications. The SC version adds interactive learning objectives and practice organized for self-study. University-level rigor ideal for advanced high schoolers, college students, and independent learners. Entirely free with downloadable materials.
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GeoGebra
GeoGebra is a free dynamic mathematics software suite for graphing, geometry, algebra, and calculus, with an interactive online classroom and millions of shared activities. Learners can explore constructions and visualize functions hands-on in their browser. It serves as both a study tool and a practice environment for mathematics.
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LibreTexts
LibreTexts is a free open textbook library covering mathematics, statistics, chemistry, and physics, built and reviewed by educators. Books include interactive elements, worked examples, and practice problems for self-study. It is a genuinely free alternative to commercial textbooks for science and math coursework.
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BetterExplained
BetterExplained is a blog by Kalid Azad that teaches math intuition through analogies, interactive visualizations, and plain-language explanations of calculus, linear algebra, and more. Articles reframe formulas so learners understand why concepts work rather than memorizing steps. It is free studied material for building lasting mathematical understanding.
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Brilliant
Brilliant is an interactive STEM learning platform where users build intuition by solving visual problems in math, computer science, and science rather than watching lectures. Thousands of guided lessons and daily challenges cover arithmetic through calculus, probability, and logic, with instant feedback and adaptive difficulty. A limited free tier offers daily problems and sample lessons, with a subscription unlocking the full curriculum.
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Mathigon
Mathigon is a free, interactive mathematics platform that reimagines textbooks as explorable courses, with storytelling, visual manipulatives, and instant feedback woven into every lesson. Its course library covers geometry, numbers, graphs, probability, and fractals, while Polypad provides a free virtual manipulative playground for hands-on practice. Award-winning and ad-free, it suits self-learners from middle school through advanced topics.
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The Feynman Lectures on Physics
The Feynman Lectures on Physics is the complete online edition of Richard Feynman's legendary Caltech undergraduate course, published free by Caltech. All three volumes cover mechanics, electromagnetism, quantum mechanics, and more, with zoomable equations and figures plus original lecture recordings. It remains canonical study material for anyone serious about understanding physics from first principles.
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Khan Academy Chemistry
A complete free chemistry course covering atoms, chemical bonding, stoichiometry, acids and bases, thermodynamics, kinetics, and electrochemistry. Each unit combines short video lessons, worked examples, and adaptive practice exercises with instant feedback. For high school and college students, self-learners, and AP/IB exam preparation. One of the best structured free paths through chemistry basics.
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OpenStax Astronomy 2e
A full college-level introductory astronomy textbook, free online in HTML and PDF. Covers the solar system, stars, galaxies, cosmology, and the history of astronomy, with rich figures, worked examples, and review questions in every chapter. For students, hobbyists, and anyone curious about the universe. Peer-reviewed and used by hundreds of universities worldwide.
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Statistics LibreTexts
A free, collaboratively maintained library of statistics textbooks, courses, and exercises for every level from introductory to advanced. Includes interactive examples, homework sets, and remixable course shells covering descriptive statistics, probability, inference, and regression. For students and instructors who want an open, endlessly adaptable statistics curriculum. No paywalls and no registration required.
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Jane Street Puzzles
A monthly series of challenging mathematical and logic puzzles from Jane Street, free for anyone to attempt. Each puzzle requires creative problem-solving, computation, and rigorous reasoning, with solutions and statistics published afterward. For puzzle lovers, math enthusiasts, and programmers who want to sharpen quantitative thinking. Famous, difficult, and genuinely rewarding.
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Mathematics for Machine Learning
A free complete textbook by Deisenroth, Faisal, and Ong covering the math foundations of machine learning: linear algebra, analytic geometry, matrix decompositions, vector calculus, probability, and optimization. Includes worked examples and exercises with solutions throughout. For aspiring ML practitioners who need a rigorous math background. Widely used as the standard reference in ML courses.
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Harvard Stat 110: Probability
Joe Blitzstein's acclaimed Harvard probability course, free online with full lecture videos, textbook chapters, handouts, and strategic practice problems with solutions. Covers probability basics, distributions, limit theorems, and Markov chains in an engaging, story-driven style. For students, self-learners, and anyone preparing for data science or statistics careers. A legendary free course.
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Active Calculus
A free, open-source calculus textbook designed for active learning, with roughly 200 in-text activities and 500 exercises, many of them interactive online. Covers single-variable differential and integral calculus in free HTML and PDF formats. For students who learn best by doing and instructors who need a free, modifiable course text. American Institute of Mathematics endorsed.
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17 more resources in Math & Sciences
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