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If you’re an USAn or NRI student aiming for admission to top universities in the US the AP Calculus exam can be one of your strongest academic assets. It not only demonstrates advanced mathematical ability but can also earn you college credit and boost your application profile.
Yet, many students find AP Calculus — whether AB or BC — intimidating. The subject introduces new concepts like limits, derivatives, and integrals in ways that can feel overwhelming at first. With the right guidance and the right book, mastering AP Calculus becomes far more achievable.
One resource that consistently delivers results for both USAn and NRI students is Peterson’s Master AP Calculus AB & BC. This book is more than a test-prep guide — it’s a structured learning system designed to build deep understanding and exam confidence.
| Benefit | Details |
| 1-on-1 Expert Guidance | Our AP Calculus AP-certified tutors assess your strengths & weaknesses |
| Personalized Plan | Tailored strategy for content review and practice |
| NRI & USA-Specific Tips | Covers curriculum gaps and targeted resources |
Our experienced AP Biology AP-certified tutors offers a free one-on-one analysis session where we assess your strengths, weaknesses, and build a customized preparation strategy
| Part / Chapter | Topics Covered |
|---|---|
| Part I: AP Calculus AB & BC Basics | Overview of exam format, differences between AB and BC, scoring system, calculator guidelines, study plan creation. |
| Chapter 1 | All About the AP Calculus AB & BC Tests – structure, timing, scoring tips, and exam-day strategies. |
| Part II: AP Calculus Review | Comprehensive review of all AB & BC syllabus topics. |
| Chapter 2 | Calculus Prerequisites – Functions, trigonometry, vectors, parametric and polar equations. |
| Chapter 3 | Limits & Continuity – Core definitions, theorems, and evaluation methods. |
| Chapter 4 | Differentiation – Power, product, quotient, and chain rules; implicit differentiation; derivatives to memorize. |
| Chapter 5 | Advanced Differentiation – Inverse functions, L’Hôpital’s Rule, polar and parametric derivatives. |
| Chapter 6 | Applications of Derivatives – Related rates, optimization, curve sketching, concavity, motion problems. |
| Chapter 7 | Integration – Antiderivatives, Fundamental Theorem of Calculus, trapezoidal rule, u-substitution. |
| Chapter 8 | Advanced Integration – Integration by parts, partial fractions, improper integrals. |
| Chapter 9 | Applications of Integration – Area, volume (disk, washer, shell methods), arc length, polar area. |
| Chapter 10 | Differential Equations – Slope fields, separation of variables, exponential growth and decay, logistic models. |
| Chapter 11 (BC Only) | Sequences & Series – Convergence tests, power series, Taylor & Maclaurin series. |
| Part III: Four Practice Tests | Two AP Calculus AB and two AP Calculus BC full-length tests with complete solutions and explanations. |
| Appendix | College-by-college AP credit and placement guide for over 400 universities. |
If you’re serious about AP Calculus, stop wasting time piecing together random YouTube videos and PDF notes.
Peterson’s Master AP Calculus AB & BC + TestprepKart AP Ebook is a winning combo that gives you the knowledge, the strategy, and the confidence to walk into the exam knowing you’re ready.
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