Practice to Mastery: AP® Calculus BC Workbook is built for students who learn calculus by doing it. It contains 1,407 original practice problems that cover all ten units of the AP Calculus BC course, from limits and continuity to infinite sequences and series, with a detailed explanation for every question.Each unit opens with a short list of the skills it develops and then moves through a full problem set: 120 to 150 multiple-choice questions and at least four free-response questions. The multiple-choice questions are split into a no-calculator block and a graphing-calculator block, just as the exam separates them, and each block climbs from easy to medium to hard. You can warm up on one-step questions, build to two-step setups, and finish with multi-step problems that ask you to model, synthesize, and justify.The free-response questions follow the 9-point structure used on the exam, with Parts A through D. Every one comes with a complete scoring guide: general scoring notes, a model solution for each part, point-by-point criteria (P1 to P9), and notes on what earns credit and what does not. Many free-response questions draw on two or more units and are set in realistic contexts, so you practice the kind of connected reasoning the exam rewards.What is inside:- All 10 units of AP Calculus BC: limits and continuity; differentiation rules; composite, implicit, and inverse functions; contextual applications; analytical applications; integration and accumulation; differential equations; applications of integration; parametric equations, polar coordinates, and vector-valued functions; and infinite sequences and series.- 1,347 multiple-choice questions and 60 free-response questions, each labeled Easy, Medium, or Hard.- Full BC-only coverage, including integration by parts, partial fractions, improper integrals, Euler's method, logistic models, arc length, polar area, vector motion, convergence tests, Taylor and Maclaurin series, Lagrange and alternating-series error bounds, and radius and interval of convergence.- Cross-unit questions that link ideas the way real problems do.- A full-length practice examination at the end of the book with the same section structure, timing, and calculator rules as the AP exam, plus answers, explanations, and scoring guides.- Original black-and-white graphs, slope fields, parametric and polar curves, and region sketches, drawn from the actual functions.- Explanations that show why the correct answer is correct, with the full reasoning, the key concept, and the most common pitfall.How to use this book:Work one unit at a time while you study it in class, or use the units to target weak areas before the exam. Start with the no-calculator block, check each answer against its explanation, and redo any question you missed a few days later. Use the free-response questions to practice writing complete, justified answers, then score yourself with the guide exactly as a reader would. When you have finished the units, take the practice examination under timed conditions to see where you stand.Every problem in this book is original. Mathematical accuracy was the first priority: every answer, distractor, and numerical value was checked by computation, and the questions were independently re-solved.Whether you are taking AP Calculus BC for the first time, reviewing over the summer, or preparing in the final weeks before the exam, this workbook gives you the volume and variety of practice you need to move from understanding to mastery.AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this product.
