Online Math Learning Platforms
Specialized learning platforms for higher mathematics and standardized test preparation.
Khan Academy
A non-profit organisation (founded by Salman Khan) dedicated to the cause of free education for all. It provides interactive and video-based modules on a diverse range of topics in applied mathematics.
COVERED TOPICS
- Geometry
- Recreational Math
- Calculus
- Linear Algebra
- Trigonometry
- Statistics & Probability
- Differential Equations
Magoosh
Standardized test preparation platform at an affordable cost. Equipped with timed practice questions, video lessons, performance statistics and remote assistance. Available in both desktop and mobile.
COVERED STANDARDIZED TESTS
- ACT
- SAT
- GMAT
- GRE
OpenStax
A non-profit, ed-tech initiative founded at Rice University, OpenStax provides free, peer-reviewed math textbooks in digital forms written by experts in the field. Printed versions of the textbooks are also available for purchase at a low cost as well.
COVERED TOPICS
- Pre-Algebra
- Algebra
- Trigonometry
- Pre-Calculus
- Calculus
- Statistics
Paul's Online Math Notes
Founded by a math professor of Lamar University, Paul's Online Math Notes provides a complete set of free math notes and tutorials on specific math topics, with review questions and solutions integrated in between and other handy features such as cheat sheets and tables.
COVERED TOPICS
- Algebra
- Calculus I
- Calculus II
- Calculus III
- DIfferential equations
Brilliant
A social learning platform dedicated to gifted students in math and science, where users learn by solving interesting problems of increasing difficulties.
FEATURED TOPICS
- Logic
- Geometry
- Calculus
- Linear Algebra
- Number Theory
- Complex Algebra
- Differential Equations
- Group Theory
ProofWiki
A specialized, community-based wiki for mathematical proofs, housing a giant repertoire of definitions, axioms and theorems from all branches of mathematics. Also proved to be interesting is the random proof page on the site.
FEATURED TOPICS
- Abstract Algebra
- Analysis
- Calculus
- Discrete Mathematics
- Logic
- Linear Algebra
- Number Theory
- Much more...
Online Math Course Platforms
Online platforms with educational materials in higher mathematics, in the form of integrated modules, eTextbooks and video courses.
Coursera
An online platform for university courses, where one can get higher math education directly from top universities for free or for a minimal fee.
In fact, with ~30 math courses from statistics, discrete math, calculus, differential equation to probability theory, Galois theory, game theory and complex analysis offered by universities such as Stanford and Yale, it's hard to get any better than that!
FEATURED COURSES
The Great Courses
A pioneering educational company which partners with world-renowned math experts to offer 40+ online math courses, with materials presented in textual, audio and visual formats.
COVERED TOPICS
- Elementary Algebra
- Mental Arithmetic
- Financial Mathematics
- Calculus
- Formal Logic
- Discrete Mathematics
- Geometry
- Statistics
MIT OpenCourseWare
A comprehensive platform with most of the undergraduate / graduate-level math courses offered by MIT, featuring video instructions, eTextbooks, presentation slides and other helpful materials.
FEATURED TOPICS
- Calculus
- Differential equations
- Complex variables
- Probability & Statistics
- Linear algebra
- Discrete Mathematics
- Analysis
- Geometry
Online Math Tools
Graphing calculators, data analyzers, symbolic calculators, LaTeX editors — among other stuffs that computer does the best.
WolframAlpha
A powerful answer engine / knowledge database based on dynamic computations. A favorite among technical scientists.
INCLUDED FEATURES
- Decimal approximation
- Optimizing functions
- Recurrence-relation solver
- Computation of derivatives and integrals
- Computation of truth tables
- Creation of Venn diagrams
- Differential equation solver
- Factorisation of large numbers
Desmos
A powerful HTML5 online graphing calculator with minimalist interface and stunning graphic / animation capabilities. Check out our Desmos guide to learn more.
FEATURES
- Graphing equations and inequalities
- Creation of tables
- Regression models
- Descriptive Statistics
- Parameter-based animation
- Evaluation of a series sum
- Graphing of derivatives / integral functions
- Creation / manipulation of lists
GeoGebra
Online graphical calculator on steroids with calculus and statistics tools, plus other web applications for 3D graphing and the creation of geometrical figures. The favorite part? Graphs and figures created in GeoGebra can be exported to TikZ, thereby making drawing less time-consuming in LaTeX.
FEATURES
- Graphing equations and inequalities
- Construction of points and vectors
- Creation of 2D/3D geometrical figures
- Dynamic alteration of graphs and figures
- Computation of derivatives and integrals
- Root finding and best-fitting line
- Robust exporting features
- Community-based platform with user-created applets
Overleaf
A cloud-based LaTeX editor with real-time collaboration and rich text capabilities. It also provides an extensive database of LaTeX templates that one can choose from.
NOTABLE FEATURES
- Real-time collaboration features
- Document sharing
- Rich Text mode
- Real-time compiling/preview
Online Math Communities
Specialized platforms such as forums and question-and-answer platforms — where people gather and geek out about higher mathematics.
Quora
One of the most popular question-and-answer site on the Web. Since its LaTeX integration in May 2015, Quora has become a hub where higher mathematics enthusiasts around the world ask and answer ultra-specific questions related to their fields of interest.
Art of Problem Solving
An educational powerhouse providing mathematical training to high-performing grade-school students all around the world.
FEATURES
- Accredited online school
- Textbook series
- Community forum
- YouTube channel
- Online games
- Math competition materials
Mathematics Stack Exchange
A specialized question-and-answer website for math students and professionals alike. A favorite place among the technically inclined.
FEATURED QUESTION TOPICS
- Analysis
- Abstract Algebra
- Linear Algebra
- Probability Theory
- Combinatorics
- Topology
- Group Theory
- Logic
- Geometry
- Number Theory
- Measure Theory
- Many more....