Brilliant

Drum vibrations, heat flow, the quantum nature of matter, and the dynamics of competing species are just a few real-world examples involving advanced differential equations. These models and many others from across the sciences, engineering,...

This course was written in collaboration with Jason Horowitz, who received his mathematics PhD at UC Berkeley and was a founding teacher at the mathematics academy Proof School. This course explores group theory at the...

This course was written in collaboration with Andrea Marino, a two-time math olympiad gold medalist and mathematics PhD at Tor Vergata University. In this course, you'll learn one of the most fundamental techniques in number...

Explaining the world means thinking with scientific principles — but usually they're cloaked in technical manipulations. In this course we'll dispense with number-crunching and mathematics in search of something more useful: physical insight. Ther...

In this course, we are going to explore science “essentials” — core content and concepts necessary for a strong foundation in science, which will help prepare you to take on challenging science problems. Whether you’re...

Everything we hear and see is based on information our bodies take in from waves. In this course you’ll learn what waves are, how they travel, and how they interact. Along the way, you’ll apply...

Discover physics in unexpected places: from refrigerators and toilets, to traffic jams and water towers. By the end of this course, you'll use powerful ideas like forces, energy, and estimation to catch criminals, design bridges,...

Here we'll establish the bedrock principles of physics and use them to reveal matter in motion; from drones and rockets to skyscrapers and blinking fireflies. By the end, you'll develop a rigorous approach to describing...

Here we lay out Newton's law of gravity and crack open the universe of consequences that spring from it. On the journey we'll come to understand planetary phenomena like tides and atmospheres, the rich geometry...

This course was written in collaboration with Aaron Miller, a PhD in physics from Penn State University, and was integrated into a YouTube video series on MinutePhysics. Beginning with famous thought experiments and a few...

Each day, you interact with tens, if not hundreds, of electrical devices, from the light in your kitchen to the computer, tablet or phone you are using right now. In this course, you will discover...

The principles of quantum mechanics came from investigating microscopic phenomena; the bizarre behavior of quantum objects like atoms and elementary particles that often appear to contradict classical mechanics and probability. In this course you'l...

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 Microsoft, X, and Caltech's IQIM. Quantum...

Chemistry is the science of how matter transforms from starting materials into other substances. Driven by physics and the fundamental properties of the elements, chemistry frees us from depending on the materials we find in...

This course was written in collaboration with quantitative biologists and biophysicists from leading research groups at Caltech and Duke. Computational biology merges the algorithmic thinking of the computer scientist with the problem solving approa...

This course was written in collaboration with Lee Weinstein. Lee earned his Ph. D. in Mechanical Engineering at MIT, where he conducted research in solar thermal energy generation In this course we'll examine the principal...

The universe consists of over 100 billion galaxies like ours, each containing tens or hundreds of billions of stars. This course will highlight what we know (and what is still unknown) about this vast and...

This course was written by MinuteEarth, creators of YouTube videos that combine world-class explanations and visuals to help viewers understand complicated science. The definition of a molecule is pretty simple: it's any group of atoms...

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 early...

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 computer can work through...