What is the value of $$1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + \dots$$? Mathematicians were stumped for nearly a hundred years until Leonhard Euler surprised everyone by showing the answer is $$\frac{\pi^2}{6}$$. In this class, I will present Euler's original argument for this result and several others, including the famous formula $$e^{i\pi} = -1$$ and the power series expansion for $$\sin x$$. While there are plenty of modern, rigorous proofs of these results, it's fun to watch how Euler breaks all the rules but comes out on top because of his amazing ingenuity and intuition.