## 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....