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 builds your understanding of differential and integral calculus. You’ll work through limits, derivatives, integrals, and common applications of each. Lessons and practice are organized step by step so you can recognize the question types and reasoning you’ll use on the exam.
Eligibility
The AP Calculus AB exam is typically taken by high school students in grades 11 or 12, although it’s open to any student who meets their 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 AP Calculus exam is a hybrid digital exam. Students complete multiple-choice questions and view free-response questions in the College Board’s Bluebook. Free-response answers are handwritten in paper exam booklets and then turned in for scoring.
Scores are reported on a 1-5 scale. A 3 is typically considered passing, but many colleges award credit only for a score of 4 or 5.
Content outline
The AP Calculus AB curriculum is structured around 8 major units, each with a designated weighting for 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 understanding, not just memorization: Connect limits, derivatives, and integrals to graphs and real situations so you can explain what the math means.
- Take notes: Writing out definitions, key ideas, and worked examples helps you keep methods and reasoning straight.
- Recognize keywords: The AP exam often signals which concepts to use. Learning to spot key words and phrases helps you choose an efficient approach.
- Practice often: Use past FRQs and released questions to simulate real test scenarios.
- Know your calculator: Use it efficiently, and remember it’s only allowed in specific sections.
Check in regularly with the study guide, complete assigned reviews, and revisit challenging topics until they’re reliable.
Final thoughts
This course mirrors the 8-unit structure of the AP Calculus AB curriculum. At the end of the textbook, you’ll find additional information about scoring, registering for the exam, and testing accommodations.
With steady practice and a clear focus on concepts, you’ll build the skills you need for the exam and for future math courses.