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Get Ahead in AP Calculus® (2025-26)

SAT Score Range

8 sessions

+2

About

In this series we will be going over the AP Calculus AB/BC curriculum in a lecture-style format. This series is perfect for anyone taking AP Calculus in the upcoming school year as we'll work to completely understand and master the major topics (some fun/exciting ones too!). The goal of this series is to help you feel confident and spend time understanding the fundamentals that are needed to get that 5 on the AP Exam.

SYLLABUS: https://www.dropbox.com/scl/fi/ynn2yuvi1o22umxpwia2i/Syllabus-AP-Calc-Summer-2025-Bootcamp.pdf?rlkey=e67vyyeexbhdx2auvw5dngoos&st=mr3ut659&dl=0

I taught a similar series last summer and honestly it was such a fun time as all of us as a group got to understand and solidify the concepts. You can view last year's material here- http://ap-calc-sbc.netlify.app. There will be new lecture notes and problem sets this summer, so feel free to go ahead and look through the site ahead of time.

Course structure: Instead of using existing lecture notes or following the order of the AP Calc curriculum, I have optimized the structure of our sessions so that we maximize the time learning important concepts and for understanding them. At the end, you will end up learning majority of the course. And by doing the practice problem sets (discussed later), you could master the entire curriculum.

Lecture Notes: These will be posted in advance of about 2-3 sessions. You do not have to worry about printing them as they would be very minimal and I promote the idea of writing as I go so we all can stay at a good pace. Please write along as I do so that you can take the complete benefit of our sessions.

Practice Problem Set and Homework: While each session will be done with the assumption that you haven't done the practice problems, they are still there for your benefit. However, in my many semesters of being in calculus classes, those who grind practice problems are the most successful. There is almost a direct correlation.

Questions/Talk to me: I will dedicate my time to entirely ensuring that every student in my session is able to understand the concepts completely. I will always be available to ensure that you understand the concepts and practice problems. And if you have any other questions about high school, college admissions, etc, feel free to let me know!

Tutored by

Ammar R 🇺🇸

Certified in 2 topics

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Hi, I'm Ammar, a Sophomore at Emory University! I am currently pursuing a double major in Mathematics and Chemistry. While probably the hardest mix I could do, but its all about taking a challenge. Challenges are a key to our success, and that is what my goal at Schoolhouse. I want you to feel good after accomplishing your challenges. What was hard yesterday, is your strength today. So whether it be academics, college, high school or what not, feel free to reach out! I will do everything i can to make sure we succeed together. Your question is our mission.

✋ ATTENDANCE POLICY

Please try your ultimate best to attend every session, and let me know if you would have to miss a session so that we can work out how to cover the content for what you would've missed.

SESSION 1

15

Jul

SESSION 1

AP Calculus

AP Calculus

Tue 6:15 PM - 7:15 PM UTCJul 15, 6:15 PM - 7:15 PM UTC

Session 1: Understanding Limits and Their Notation

Covering Module 1 – We begin by exploring the fundamental concept of a limit. You’ll learn to interpret limits in both analytical and graphical forms and represent them using proper notation. This session sets the tone for the rest of the course.
SESSION 2

16

Jul

SESSION 2

AP Calculus

AP Calculus

Wed 6:15 PM - 7:15 PM UTCJul 16, 6:15 PM - 7:15 PM UTC

Session 2: Graphical and Tabular Limits

Covering Module 1 & 2 – In this session, we deepen our understanding of limits by estimating them from graphs and tables, including one-sided and infinite limits. You’ll also examine asymptotic behavior and limits at infinity.
SESSION 3

17

Jul

SESSION 3

AP Calculus

AP Calculus

Thu 6:15 PM - 7:15 PM UTCJul 17, 6:15 PM - 7:15 PM UTC

Session 3: Algebraic Limits & Transition to Derivatives

Covering Module 2 (and previewing Module 4) – We wrap up our limits unit by using algebraic tools to solve more complex limit problems and determine when limits don’t exist. Then, we’ll start exploring how these ideas transition naturally into the concept of a derivative.
SESSION 4

21

Jul

SESSION 4

AP Calculus

AP Calculus

Mon 6:15 PM - 7:15 PM UTCJul 21, 6:15 PM - 7:15 PM UTC

Session 4: Average Rate of Change and the Definition of the Derivative

Covering Module 4 – We formally define the derivative using limits and difference quotients. You’ll begin to see how the derivative captures instantaneous rate of change and practice computing derivatives from first principles.
SESSION 5

22

Jul

SESSION 5

AP Calculus

AP Calculus

Tue 6:15 PM - 7:15 PM UTCJul 22, 6:15 PM - 7:15 PM UTC

Session 5: Derivative Rules and Power Rule

Covering Module 5 – This session focuses on computing derivatives efficiently using rules for powers, constants, sums, and differences. You’ll build fluency with these foundational skills and apply them to familiar functions.
SESSION 6

23

Jul

SESSION 6

AP Calculus

AP Calculus

Wed 6:15 PM - 7:15 PM UTCJul 23, 6:15 PM - 7:15 PM UTC

Session 6: Product, Quotient, and Chain Rules

Covering Module 5 & 6 – We’ll expand your derivative toolbox with product, quotient, and chain rules. These rules are essential for tackling more complex functions and preparing for real-world applications.
SESSION 7

24

Jul

SESSION 7

AP Calculus

AP Calculus

Thu 6:15 PM - 7:15 PM UTCJul 24, 6:15 PM - 7:15 PM UTC

Session 7: Connecting Derivatives with Continuity

Covering Module 6 – This session explores the deep connection between derivatives and continuity. You’ll learn how to determine where functions are differentiable and understand that differentiability implies continuity.
SESSION 8

28

Jul

SESSION 8

AP Calculus

AP Calculus

Mon 6:15 PM - 7:15 PM UTCJul 28, 6:15 PM - 7:15 PM UTC

Session 8: Analyzing Functions with Derivatives

Covering Module 7 – We’ll begin applying derivatives to analyze functions—identifying intervals of increase/decrease, finding local extrema, and interpreting the first and second derivative tests. These tools are powerful for sketching graphs and solving optimization problems.

Public Discussion

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Jul 15 - Jul 28

2 weeks

60 mins

/ session

Next session on July 15, 2025

SCHEDULE

Tuesdays

6:15PM

Wednesdays

6:15PM

Thursdays

6:15PM

Mondays

6:15PM