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If you’re an USAn or NRI AP Calculus AB student and want a single book that can truly help you understand every concept, step-by-step, Stewart’s Calculus: Early Transcendentals has been the go-to choice for countless students around the world.
We know how it feels when you first open your AP Calculus syllabus — the words “limits,” “derivatives,” and “integrals” sound intimidating. For students in USA and NRIs studying abroad, there’s an added pressure: balancing schoolwork, coaching, and the dream of getting into top universities. It’s completely normal to feel overwhelmed. But the right book can make all the difference.
Stewart’s Calculus isn’t just another textbook. It’s a mentor in book form — guiding you through the “why” behind every formula, and not just the “how.” And with a smart study approach, this book can transform your fear of calculus into genuine confidence.
Here’s the breakdown of the major sections inside the book:
| Section | Topics Covered |
| Part I: Functions and Models | Review of functions, graphs, mathematical models, exponential growth and decay |
| Part II: Limits and Derivatives | Tangent problems, velocity, limit laws, continuity, derivative rules, implicit differentiation |
| Part III: Differentiation Applications | Maxima and minima, related rates, curve sketching, optimization problems, motion analysis |
| Part IV: Integrals | Antiderivatives, Riemann sums, definite integrals, Fundamental Theorem of Calculus |
| Part V: Applications of Integration | Area between curves, volumes, slope fields, differential equations |
| Part VI: Techniques of Integration (Optional for AB) | Substitution, integration by parts, partial fractions (mostly BC topics, but some parts help for AB) |
| Practice Problems | Hundreds of exercises for each topic, ranging from basic to challenging proofs |
| Appendix | Formula sheet, review summaries, and additional problem sets |
Along with the main book, I’m 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.
Stewart’s isn’t a “shortcut” book. It’s the kind of resource that teaches you to think like a mathematician. And that’s exactly what the AP exam rewards.
For USAn and NRI students, this means:
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