Differential equations show up in just about every branch of science, including classical mechanics, electromagnetism, circuit design, chemistry, biology, economics, and medicine. From analyzing the simple harmonic motion of a spring to looking at t...
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 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 is here to guide you through the "magic", revealing the thought processes that lead to clever solutions to beautiful problems. You’ll become a better mathematical problem-solver across several exciting topics, including algebra, geometry...
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...
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...
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...
Probability is full of counter-intuitive results and paradoxes. Challenge yourself by learning how to mathematically master some very surprising games and experiments including the Monty Hall game show, the Boy or Girl paradox, and the...
In this course, you’ll learn how to fit, interpret, and compare linear regression models in Python. This is useful for research questions such as: Can I predict how much a customer will spend at a...