AP Calculus AB/BC Course Breakdown
SAT Score Range
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4 sessions
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About
As someone has who has gotten a 5 on AP Calc, I can guarantee it is not a Calculus is not something to be messed around with. But in this series you're going to have me. Each week we are are going to have two sessions that cover a bulk of a unit, with me going over all the content in 2 weeks per unit. This way we'll be able to finish the content for AB and most of BC by the end of the semester, hopefully 🤞. (Right now I only have the sessions for Unit 1 up but as we go along I will add more)
✋ ATTENDANCE POLICY
You will be withdrawn from the series if you have more than 2 unexcused absences in a row. Please message the tutor in advance for any absences! I'm not a strict attendance policy guy for most of my series, but all of the later sessions are directly building off the content explored in the previous ones so missing any sessions without notice would be less than optimal.
SESSION 1
6
Sep
SESSION 1
Limits and continuity
Limits and continuity
Sat 4:00 PM - 5:30 PM UTCSep 6, 4:00 PM - 5:30 PM UTC
This session is designed to review the essential mathematical skills and concepts needed before starting calculus. We will cover key topics from algebra, geometry, and trigonometry that serve as the building blocks of higher-level math. Topics include functions and their graphs (polynomial, rational, exponential, and logarithmic), transformations, inverse functions, and trigonometric identities. We will also reinforce algebraic manipulation skills such as factoring, simplifying expressions, and solving equations and inequalities. By the end of the session, students will have a strong foundation in the critical pre-calculus concepts that make the transition into calculus smoother and more successful.
SESSION 2
7
Sep
SESSION 2
Limits and continuity
Limits and continuity
Sun 4:00 PM - 5:30 PM UTCSep 7, 4:00 PM - 5:30 PM UTC
In this session, we will explore the foundational concept of limits in calculus and learn how to analyze them both graphically and algebraically. Students will gain practice interpreting limits from graphs, identifying one-sided and two-sided limits, and recognizing when limits do not exist. We will also work through step-by-step strategies for solving limit problems, including substitution, simplification, and approaching indeterminate forms. By the end of the session, students will be equipped with the tools to confidently evaluate limits and understand their role as the building blocks of calculus.
SESSION 3
13
Sep
SESSION 3
Limits and continuity
Limits and continuity
Sat 4:00 PM - 5:00 PM UTCSep 13, 4:00 PM - 5:00 PM UTC
In this session, we will build on our knowledge of limits to explore the concept of continuity in functions. Students will learn how to determine whether a function is continuous at a point and across an interval, and how to apply the formal definition of continuity. We will identify and classify different types of discontinuities, including removable, jump, and infinite discontinuities, with both graphical and algebraic examples. By the end of the session, students will be able to recognize continuous functions, explain why continuity matters in calculus, and confidently analyze when and where functions are not continuous.
SESSION 4
14
Sep
SESSION 4
Limits and continuity
Limits and continuity
Sun 4:00 PM - 5:00 PM UTCSep 14, 4:00 PM - 5:00 PM UTC
This session will focus on the essential theorems from Unit 1 of AP Calculus that connect limits and continuity to deeper problem-solving. Students will learn how to apply the Intermediate Value Theorem (IVT) to prove the existence of solutions within an interval, and how the Squeeze Theorem can be used to evaluate challenging limits. We will also explore related ideas such as the Extreme Value Theorem (EVT) and the definition of continuity on closed intervals. Through guided examples and practice problems, students will gain confidence in recognizing when and how to apply these theorems, a critical skill for both AP Calculus exams and real problem-solving in calculus.