Fact: Resources are scarce. How will humans behave given this fact? How can society maximize their well-being? Economics tries to answer these two questions by modeling human preferences with math and then optimizing their preferences. This class will quickly cover the important concepts in consumer-side microeconomics to illustrate how economic theory works, its successes, and its shortcomings. Note that this will not be your typical high school economics class with supply and demand graphs.

Would you sacrifice one person to save five? How do you decide? The person to be sacrificed has as much right to live as the five. Yet sacrificing the one lets more people live happy lives. In this class, we'll talk about different theories of justice to help us answer tough questions like this. After thinking about moral philosophy, we'll see how (or if!) it helps us construct a just society. We will cover utilitarianism, Kant, Rawls, and hopefully Sen.

Math in high school may seem very hierarchical, with one field building off the last. But really, fields of math are arranged more like a network, and solving problems in one may require material from another. We'll get to see and solve some cool examples of this as connections between linear algebra and other fields. After going over the theoretical foundation of linear algebra, we'll use the theorems we've developed to solve puzzle problems in seemingly unrelated topics. Flex your brain and have some fun in this half-lecture, half-problem solving class!

Physics teachers will tell you that gravity is a conservative force and work done against gravity doesn't depend on the path you take. But what makes a force conservative, and what does path-independence have to do with it? The answer lies in vector calculus! This class will cover all the multivariable and vector calculus needed to understand conservative fields (including partial derivatives, gradients, and line integrals). Once we develop a solid understanding of the mathematical definition of conservative fields, we will see how it applies to and deeply explains conservative forces in physics, particularly gravitational and electric potential. As an added bonus, you'll get to learn and use cool symbols like $$\frac{\partial f}{\partial x}$$, $$\nabla f$$, and $$\oint \vec F \cdot d\vec r$$. Note that this class will be more mathy than physicsy. (Disclaimer: This class has nothing to do with force fields in the science fiction sense.)

Ever watch the show The Amazing Race? Want to travel across the Pokemon world like you never have? Think you know more Pokemon trivia than anyone else? Welcome to The Amazing Race: Pokemon Regions, a competition pitting you and others in a race, guided by collected clues as you pass stop after stop throughout the world of Pokemon! In a style similar to that of the show, you will be asked to perform various tasks within your game that test your Pokemon knowledge as you race around the Kanto and Johto regions!

Differential equations can be a real pain in the asymptote, chaining you into countless uses of the product rule or ugly integration by parts. But with the wonderfully straightforward tool known as Laplace Transforms, few linear differential equations can stand in your way! In addition to teaching you this powerful tool, we'll also explain how it can be applied to unusual functions like piecewise, step, and impulse functions, and we'll teach you useful tricks for partial fractions (a technique that was invented specifically for Laplace Transforms).