🧮 AP Calculus AB — AristoMind Academy

Master AP Calculus AB with clarity — limits, derivatives, integrals, and differential equations — explained visually and through problem-based learning.

AP Calculus AB is often the first rigorous math course students face — and it can determine confidence going into STEM degrees. This book helps you understand, not memorize: every topic is taught visually, reinforced with examples, and followed by exam-focused summaries.

Whether you're self-studying, complementing school lessons, or aiming to boost your AP score — this is your structured path to success.

📘 What You’ll Learn

📈 Functions & Graphs — Domain, range, piecewise functions, transformations, compositions, inverse functions, trig basics.

♾️ Limits & Continuity — Limit laws, one-sided limits, continuity, IVT & EVT, removable vs. non-removable discontinuities.

✏️ Derivatives — Direct computation, product & quotient rule, exponential/log derivatives.

🔗 Chain Rule & Beyond — Chain rule, repeated composition, implicit differentiation, trig & inverse-trig derivatives.

🧭 Graph Analysis with Derivatives — Extrema, asymptotic behavior, graph-sketching, L’Hospital’s Rule.

🧮 Integrals — The integral, FTC, substitution, integration by parts.

🧪 Applications — Area between curves, motion in one dimension (kinematics), volumes of revolution.

🎯 Differential Equations — Modeling, separable DEs, slope fields, qualitative behavior.

📝 Exam Prep — End-of-chapter problems, worked solutions, and review summaries.

📚 What's Included

✅ 260+ beautifully formatted pages
✅ 150+ fully solved problems
✅ 240+ original illustrations and diagrams
✅ Exam-focused summaries for each chapter
✅ Clickable boxed equations for instant reference

💡 Why AristoMind?

Created by Daniel Siretanu — Oxford BA + MPhys, now PhD researcher in theoretical physics (Queen Mary University of London), and former Physics Olympiad competitor.

“Real understanding comes from solving problems — not memorizing formulas. This book is designed to build clarity, confidence, and exam-ready skill.”

You can learn more on the About Us page and the FAQ page.

📦 Format

• Digital PDF (instant access)
• Works on phones, tablets & PCs

🚀 Get Ready for Success

Strong performance in AP Calculus opens doors — engineering, physics, math, computer science, and scholarships.

👉 Click Open Sample to preview
👉 Add to Cart to start learning today