Brilliant

The beginning of our introductory math journey is Logic. Through these challenging problem solving exercises, you'll construct the critical thinking skills that are the basis for mathematical reasoning. You'll use limited information to make predi...

Problem solving requires creativity, intuition, knowledge, and skill. It also requires practice. This course dives deep into four mathematical explorations, each of which quickly goes beyond 'rote' learning, challenging you to explore patterns an...

Continue your adventures in logic with puzzles involving Venn diagrams and syllogisms, propositional logic, and first-order logic. By the end of this course you'll have explored the deep foundations of truth as well as applied...

Can you put a number on how much you don't know? (Sure you can! ) When you learn something new, how should it change your beliefs about how the world works? (It depends! ) Is...

Use diagrams and words to explore the very start of algebra, with puzzles and intuition guiding the way. By the end of the course, you'll be able to simplify expressions and solve equations using methods...

Explore how algebra works and why it matters, and build a strong foundation of skills across many algebra topics including equations, rates, ratios, and sequences. By the end of this course, you’ll know both traditional...

Explore graphs of equations, exponents, counting problems, and more, emphasizing intuition and understanding over just finding an answer. This course will deepen your knowledge of basic algebra and introduce you to some surprisingly useful applicati...

Use interactive graphing apps to explore and transform functions of all varieties: polynomials, exponents, logarithms, absolute value, and more. Learn a method of factoring not commonly taught in school, practice modeling scenarios, and do problem...

This course is for those who want to fully master Algebra with complex numbers at an advanced level. The prize at the end will be combining your newfound Algebra skills in trigonometry and using complex...

Our math journey starts with fractions, percents, and ratios in everyday contexts. Interactive problems and intuitive visuals will help you see numeric quantities and their relationships in a new light. By revisiting topics ranging from...

In this course, we'll introduce the foundational ideas of algebra, number theory, and logic that come up in nearly every topic across STEM. This course is ideal for anyone who's either starting or re-starting their...

This course starts at the very beginning — covering all of the essential tools and concepts in number theory, and then applying them to computational art, cryptography (code-breaking), challenging logic puzzles, understanding infinity, and more!

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...

Reckoning with infinity is one of the major accomplishments of mathematics. Start with basic counting and work your way up to the many types of infinity, culminating in the profundity of Cantor's theorem. Explore the...

This course recounts both stories and specific, mathematical challenges from the lives and research of about a dozen famous—and infamous—mathematicians. All of them made huge mistakes. Many of them struggled to get recognition for some...

Discover how intuitive geometry can be when you keep your assumptions simple and use your own logic and reasoning to set up your calculations. This fundamentals course will introduce you to angle axioms, perimeter and...

Are you ready to start loving geometry? This course is here to guide you through some of the magic of geometry, revealing the thought processes that lead to clever solutions to beautiful geometry problems. By...

In this course, you'll solve delightful geometry puzzles and build a solid foundation of skills for problem-solving with angles, triangles, and polygons. You'll also improve your visual intuition and learn how to come up with...

This course covers a wide range of theorems in classical Euclidean geometry. You'll start by deriving the Central Angle Theorem and Thales' Theorem, then move on to the Power of a Point Theorem, and conclude...

Explore the fundamental concepts of three-dimensional geometry: What strangely-shaped 3D pieces can result from slicing up 3D polyhedra with planes? What flat polygons can fold up into 3D shapes? If you're running around on the...