Conquering Calculus Clinic: AP Calc Exam Prep Session, Units 1-3

Conquering Calculus Clinic: AP Calc Exam Prep Session, Units 1-3

Join us for an online event designed to help you conquer the AP Calc Exam! Whether you're a calculus whiz or need a little extra help, our Part 1 Course will give you the edge you need. Our expert instructors will guide you through key concepts, problem-solving techniques, and exam strategies to ensure you're fully prepared. Don't let calculus stress you out - sign up now and take the first step towards acing the AP Calc Exam!

Here is what we will cover:

Unit 1 — Limits & Continuity

This unit introduces the fundamental building block of calculus — the limit. Students explore how functions behave as inputs approach specific values and how that leads to understanding instantaneous change. Key ideas include:

• Definition of limits and evaluating them graphically, numerically, and algebraically
• One- and two-sided limits
• Limits at infinity and vertical/horizontal asymptotes
• Continuity of functions and identifying discontinuities
• Key theoretical tools like the Squeeze Theorem and Intermediate Value Theorem
• Connecting limits to the concept of change and preparation for derivatives

This unit is about creating a deep conceptual understanding of behavior near and at points.

Unit 2 — Differentiation: Definition & Basic Rules

Here students begin learning derivatives — the cornerstone concept in calculus — with emphasis on both concept and technique. Topics include:

• Understanding average vs. instantaneous rate of change
• Formal definition of the derivative using limits
• Interpreting the derivative as slope of tangent lines
• Basic derivative rules: power, constant, exponential, trigonometric functions
• Differentiability vs. continuity — when derivatives do and don’t exist

Students build fluency in computing derivatives and interpreting what they mean

Unit 3 — Differentiation: Composite, Implicit & Inverse Functions

This unit expands students’ ability to differentiate more complex functions and introduces new techniques:

• Chain Rule for composite functions
• Implicit differentiation
• Derivatives of inverse functions, including inverse trig functions
• Higher-order derivatives
• Strategies for selecting the best technique for different function types

Students use these tools to tackle a wide variety of real and abstract function forms.