The Web has billions of pages containing trillions of words, yet when you type a query into the search box, the program works for just a fraction of a second, and usually picks out just the...

This course was written by Tessa van der Heiden, a researcher and developer of autonomous driving algorithms at BMW. In this course, you'll learn the mathematical underpinnings of reinforcement...

Learn to build quantum algorithms from the ground up with a quantum computer simulated in your browser in this course, created in collaboration with quantum researchers and practitioners from...

It's a traditional choice to use base ten by default. You see the numerical digits 0-9 every day and you probably find it most natural to use base 10, even if you already know about binary and...

Machine learning swoops in where humans fail — such as when there are hundreds (or hundreds of thousands) variables to keep track of and millions (or billions, or trillions) of pieces of data to...

Artificial neural networks learn by detecting patterns in huge amounts of information. Much like your own brain, artificial neural nets are flexible, data-processing machines that make predictions...

The way we store and manipulate data with computers is a core part of computer science. In Data Structures, you'll start with the basics, like arrays and sorting, and build up to more complex data...

Learn the key ideas of computer science with this interactive course – no coding required! This course is ideal for a high school or college student who wants to learn the fundamentals, or an...

This course was created in collaboration with Kenji Ejima and Kristian Takvam, senior members of Brilliant's software engineering team. How is the memory managed in the running program? How does the...

This course was written in collaboration with machine learning researchers and lecturers from MIT, Princeton, and Stanford. This interactive course dives into the fundamentals of artificial neural...

An algorithm is a step-by-step process to achieve some outcome. When algorithms involve a large amount of input data, complex manipulation, or both, we need to construct clever algorithms that a...

An algorithm is a step-by-step process to achieve some outcome. When algorithms involve a large amount of input data, complex manipulation, or both, we need to construct clever algorithms that a...

Cryptocurrencies represent a fundamentally new way for people to exchange goods and services. They're powered by blockchains — data structures that are enabled by cryptographically secure hash...

This course was written in collaboration with former quantitative traders from two leading firms. In this course, we'll dive into statistical modeling, matrices, and Markov chains, and guide you...

Python is one of the most widely used programming languages, and it is an excellent first language for new programmers. It can be used for everything from video games to data visualization to machine...

Probability is the business of decision making in the face of uncertainty, whether it's forecasting the future or inferring the past. The rules are simple enough, but applying them to realistic...

Linear algebra is pervasive in just about all modern scientific subjects, including physics, mathematics, computer science, electrical engineering, economics, and aeronautical engineering. You’ll...

Calculus has such a wide scope and depth of application that it's easy to lose sight of the forest for the trees. This course takes a bird's-eye view, using visual and physical intuition to present...

How can we accurately model the unpredictable world around us? How can we reason precisely about randomness? This course will guide you through the most important and enjoyable ideas in probability...

Statistics starts from data and then asks what was used to generate it. Learning the building blocks — median, mode, range, variance, and standard deviation — will help you analyze graphs,...