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AP Calculus AB is one of the more challenging math courses offered by the College Board. It’s not just about memorizing formulas—it’s about understanding how things change, how to measure rates, and how to apply calculus concepts to real-world situations. For many students, especially those with science or engineering aspirations, doing well in this course is a big deal.
At TestprepKart, we’ve designed our AP Calculus AB coaching program to help students learn the subject in a clear, structured, and result-oriented way. Our approach focuses on building strong concepts, covering high-weight topics thoroughly, and practicing with the kind of questions you’ll actually see on the exam.
Let’s take a closer look at how our program works and what you’ll be learning.
| Unit No. | Unit Title | Estimated Hours | Exam Weighting | Topics Covered |
| 1 | Limits and Continuity | 10 hours | 10–12% | What limits are, how to calculate them, continuity, and the Intermediate Value Theorem |
| 2 | Differentiation: Definition and Basic Rules | 12 hours | 10–12% | Finding derivatives, using power, product, and quotient rules, and higher-order derivatives |
| 3 | Differentiation: Composite, Implicit, Inverse Functions | 12 hours | 9–13% | Chain rule, implicit differentiation, and inverse trig derivatives |
| 4 | Contextual Applications of Derivatives | 15 hours | 10–15% | Motion, optimization, linear approximations, and using the Mean Value Theorem |
| 5 | Analytical Applications of Derivatives | 15 hours | 15–18% | Graph analysis, critical points, increasing/decreasing, concavity, extrema |
| 6 | Integration and Accumulation of Change | 15 hours | 17–20% | Riemann sums, definite/indefinite integrals, accumulation functions, FTC Part 1 |
| 7 | Differential Equations | 8 hours | 6–12% | Solving differential equations, slope fields, logistic and exponential models |
| 8 | Applications of Integration | 13 hours | 10–15% | Area between curves, volumes (disks/washers), average value of a function |
Both exams follow this consistent structure:
| Unit | Approx. Weightage | Focus Area |
|---|---|---|
| Limits & Continuity | 10–12% | Understanding limits, asymptotes, continuity, graphical behavior |
| Differentiation: Basic Rules | 15–18% | Derivative rules, tangent lines, rates of change |
| Differentiation: Applications | 15–18% | Optimization, related rates, motion problems |
| Integration & Accumulation | 20–22% | Definite/indefinite integrals, Fundamental Theorem of Calculus |
| Applications of Integration | 15–18% | Areas, volumes, average values |
| Differential Equations | 6–8% | Slope fields, separation of variables |
| Miscellaneous / Functions Analysis | 10–12% | Graphs of functions & derivatives, curve sketching |
Along with the syllabus, we are also giving you a bonus TestprepKart eBook. This is not an academic textbook. It’s more of a helpful guide that answers many common questions students have about AP exams.
If you’re an NRI student, or if you’re not sure how AP scores work, or you’re confused between AP, IB, and A-Levels, this eBook will really help you.
What’s inside this guide:
We’ve designed the program at TestprepKart to make AP Calculus AB easier to follow and more score-focused:
We know which units matter more in the exam, so we spend more time on them. For example, Applications of Derivatives and Integration get more attention than others.
We don’t jump straight into formulas. First, we explain the ideas behind the math—why it works, not just how to do it. This helps you remember and apply things better.
You’ll take short quizzes, topic tests, and mock exams regularly. These help you stay on track and show you where you need to improve.
Our question sets are designed to reflect what the AP exam asks—especially data-based problems, word problems, and application-type questions.
After each test or quiz, we review it with you, explain mistakes, and give suggestions to improve. You’re never left guessing what went wrong.
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