Welcome to an exciting journey into the fascinating realm of calculus! In this thoughtfully designed series, tailored specifically for high school students, participants will embark on an exploration of the fundamental techniques of differentiation. Throughout our engaging sessions, we'll focus on unraveling the intricacies of composite functions, inverse functions, and implicit differentiation. What You'll Master: Unraveling Composite Functions: Gain proficiency in dissecting and differentiating functions nested within one another. Discover how to navigate through layers of complexity with ease using the powerful chain rule. Navigating Inverse Functions: Delve into the intricacies of inverse functions, learning how to differentiate and manipulate them effectively. Understand their role in solving equations and their significance in real-world applications. Mastery of Implicit Differentiation: Step into the realm of implicit functions, where equations aren't explicitly defined. Master the technique of implicitly differentiating these functions, crucial for tackling advanced calculus problems and scenarios.

The series will cover an introduction for those intending to take Calculus BC in the coming school year. There will be five sessions throughout the series: Session 1: Limits and continuity Session 2: Differentiation and the basic definition of a derivative Session 3: Differentiation extended--chain rule, implicit differentiation, and higher-order derivatives Session 4: Applications of derivatives--Rates of change, related rates, linearization, and L'Hopital's rule Session 5: Analysis of functions through derivatives--extrema and concavity In between sessions will be office hours where learners can come for extra questions.

Goal: Headstart during the summer For: Anyone who are taking AP Calculus AB/BC next year and want to headstart before the school Date: this series will start on July 22nd and will last for 4 weeks(2 classes per week). Class Time: 90 min per class In this series, we will go over the first 5 units of the AP Calculus AB/BC curriculum. 1. Unit 1: Limits and Continuity(1 days) 2. Unit 2: Differentiation: Definition and Basic Derivative Rules(3 days) 3. Unit 3: Differentiation: Composite, Implicit, and Inverse Functions(2 days) 4. Unit 4: Contextual Applications of Differentiation(2 days) 5. Last session: AP FRQ & MCQ review Class Overview: 1. 3-5 Warm-up questions (review for last session or Pre-calc/Algebra) 2. Lecture with slideshow (will provide pdf notes if you need) 3. AP MCQ at the end of the each class 4. Makeup session will be announced in each class Outside Session: 1. Khan Academy 2. Organic Chemistry Tutor

Content: This series will be covering AP Calc BC at a fast pace. We will cover all the content and do a final practice session while doing practice problems along the way. Expectations: Learners are required to actively engage and enjoy Calculus as well as ask plenty of questions. We may also have games and fun activities for review at the beginning of each class. Prerequisites: Learners must have completed Precalculus through self-study or as a course and be ready to learn a lot of topics in a short amount of time. Homework policy: Homework will contain the topic's practice so please make the time to finish the homework and the assessments. Materials needed: * Paper and pencil/pen to take notes * Calculator (optional for this Bootcamp but required for the AP exam) - we may cover some aspects of the calculator. I hope to see you there!