Have you ever wondered why the rules of calculus work the way they do? In this session, we’ll explore the foundational ideas of real analysis that give calculus its rigour and precision. We’ll introduce concepts like the epsilon delta definition of a limit, what it truly means for a function to be continuous, and how to begin thinking in proofs. This session is designed for students who have studied or are currently studying calculus and are curious about the "why" behind the formulas. No experience with proof-writing is required, just curiosity and a willingness to think more deeply about familiar ideas.

In this session, we’ll tackle integrals involving clever substitutions, symmetry, and surprising cancellations, covering trigonometric, rational, and improper integrals with elegant solutions. We’ll solve problems step-by-step, discuss alternative methods, and explore the intuition behind each technique. If time permits, we’ll also try some challenging problems from the MIT Integration Bee for extra fun and practice.

Are you about to begin Algebra 2 and want to make sure you're prepared? Or are you already in the course and finding that some earlier concepts are holding you back? This session is designed to review the key Algebra 1 skills that are essential for success in Algebra 2. We will go over topics like solving linear equations and inequalities, working with exponents, and factoring expressions. These foundational skills will help you feel more confident as you move into more advanced Algebra 2 material. This session is perfect for students who want a strong start, need a refresher, or simply want to brush up on important skills in a supportive, interactive environment. There will be plenty of time for questions, practice problems, and tips to help you avoid common mistakes.