Introduction

Welcome to the Achievable AP Calculus AB course!

The AP Calculus AB exam, administered by the College Board, is an Advanced Placement test that can help you earn college credit and/or placement in advanced college math courses, depending on your score and your college’s policies.

This course is designed as an efficient guide to the actual AP exam. Lessons and practice problems are organized to reflect the types of problems and reasoning patterns you’ll encounter.

Eligibility

The AP Calculus AB exam is typically taken by high school students in grades 11 or 12, though eligibility is determined by your school’s prerequisites.

A solid foundation in algebra, geometry, trigonometry, and precalculus is strongly recommended.

Exam format

The AP Calculus AB exam is administered once per year in May and is available through high schools that offer the AP program. The exam is 3 hours and 15 minutes long and has two sections, each with two parts:

Section I: Multiple Choice

45 questions $|$ 1 hour 45 minutes $|$ 50% of exam score

• Part A (no calculator): 30 questions; 60 minutes
• Part B (calculator permitted): 15 questions; 45 minutes

Section II: Free Response

6 questions $|$ 1 hour 30 minutes $|$ 50% of exam score

• Part A (calculator permitted): 2 questions; 30 minutes
• Part B (no calculator): 4 questions; 60 minutes

The exam is delivered in a hybrid digital format. Multiple-choice questions are accessed and answered digitally in the College Board’s Bluebook app, while free-response answers are handwritten in paper exam booklets and turned in for scoring.

Scores are reported on a 1-5 scale. A 3 is considered passing, but many colleges require a 4 or 5 to award credit or placement.

Content outline

The AP Calculus AB curriculum is organized into 8 major units, each with a specific weighting in the multiple-choice section:

Units	Exam weighting
1. Limits and continuity	10 - 12%
2. Differentiation: Definition and fundamental properties	10 - 12%
3. Differentiation: Composite, implicit, and inverse functions	9 - 10%
4. Contextual applications of differentiation	10 - 15%
5. Analytical applications of differentiation	15 - 18%
6. Integration and accumulation of change	17 - 20%
7. Differential equations	6 - 12%
8. Applications of integration	10 - 15%

Together, these units cover the full scope of AP Calculus AB. The heaviest emphasis is placed on Unit 6, which focuses on the core ideas of integral calculus.

Tips for success

To succeed in AP Calculus AB:

• Start early: Build a consistent study habit, reviewing one unit at a time.

• Focus on the “Why”: The AP exam often asks you to interpret your answers. You must connect limits, derivatives, and integrals to graphs, tables, and real-world scenarios.

• Learn to spot keywords: The exam uses very specific phrasing to signal which calculus concept to apply. Pay close attention to how questions are worded in our problems.

• Practice often: Use past FRQs and released questions to simulate real test scenarios.

• Master your calculator: You are required to use a graphing calculator on specific parts of the test. Some problems cannot be solved by hand, so you must master the four required calculator capabilities: plotting functions, finding zeros, calculating numerical derivatives, and evaluating definite integrals.

Final thoughts

The material is organized to align with the 8-unit AP framework. At the end of the textbook, you’ll find additional information about scoring, registering for the exam, and testing accommodations.

With consistent practice and familiarity with exam-style reasoning, the course develops the skills required for success on the AP Calculus AB Exam and in subsequent calculus coursework.