AP Calculus AB and BC Course Exam Description

AP Calculus AB and BC Course Exam Description

The AP Calculus AB and BC Course and Exam Description outlines the curriculum and exam structure for high school students preparing for the AP Calculus exams. It covers essential topics such as limits, differentiation, integration, and applications of calculus. The document provides detailed information about the skills and knowledge students need to succeed, including mathematical practices and learning objectives. This resource is crucial for educators and students aiming to understand the expectations and content of the AP Calculus courses.

Key Points

  • Covers key calculus concepts including limits, derivatives, and integrals.
  • Details the structure and format of the AP Calculus AB and BC exams.
  • Includes instructional strategies and resources for effective teaching.
  • Outlines mathematical practices essential for student success.
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Course framework
Instructional
section
Sample exam
questions
AP
®
Calculus
AB and BC
COURSE AND EXAM DESCRIPTION
Effective
Fall 2020
AP COURSE AND EXAM DESCRIPTIONS ARE UPDATED PERIODICALLY
Please visit AP Central (apcentral.collegeboard.org) to determine whether
a more recent course and exam description is available.
AP
®
Calculus
AB and BC
COURSE AND EXAM DESCRIPTION
Effective
Fall 2020
What AP
®
Stands For
Thousands of Advanced Placement teachers have contributed to the principles
articulated here. These principles are not new; they are, rather, a reminder of how AP
already works in classrooms nationwide. The following principles are designed to ensure
that teachers’ expertise is respected, required course content is understood, and that
students are academically challenged and free to make up their own minds.
1. AP stands for clarity and transparency. Teachers and students deserve clear
expectations. The Advanced Placement Program makes public its course
frameworks and sample assessments. Confusion about what is permitted in the
classroom disrupts teachers and students as they navigate demanding work.
 fl
develop as independent thinkers and to draw their own conclusions. Evidence and
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3. AP opposes censorship. AP is animated by a deep respect for the intellectual
freedom of teachers and students alike. If a school bans required topics from their
AP courses, the AP Program removes the AP designation from that course and
its inclusion in the AP Course Ledger provided to colleges and universities. For
example, the concepts of evolution are at the heart of college biology, and a course
that neglects such concepts does not pass muster as AP Biology.
 ff
perspectives from their own, and no points on an AP Exam are awarded for
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certain ways about themselves or the course content. AP courses instead develop
students’ abilities to assess the credibility of sources, draw conclusions, and make
up their own minds.
As the AP English Literature course description states: “AP students are not
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literary work as a whole.”
5. AP courses foster an open-minded approach to the histories and cultures of
ffff
ethnicities is essential within a variety of academic disciplines. AP courses ground
such studies in primary sources so that students can evaluate experiences and
evidence for themselves.
6. Every AP student who engages with evidence is listened to and respected. Students
are encouraged to evaluate arguments but not one another. AP classrooms respect
diversity in backgrounds, experiences, and viewpoints. The perspectives and
contributions of the full range of AP students are sought and considered. Respectful
debate of ideas is cultivated and protected; personal attacks have no place in AP.
7. AP is a choice for parents and students. Parents and students freely choose to enroll
in AP courses. Course descriptions are available online for parents and students to
fi
within AP courses; AP course and exam materials are crafted by committees of
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the use of AP scores for college credits by thousands of colleges and universities
nationwide.
The AP Program encourages educators to review these principles with parents and
students so they know what to expect in an AP course. Advanced Placement is always
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and clarity that once parents have enrolled their child in an AP course, they have agreed
to a classroom experience that embodies these principles.
© 2025 The Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks
of the College Board. All other products and services may be trademarks of their respective owners. Visit
College Board on the web: collegeboard.org.
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FAQs of AP Calculus AB and BC Course Exam Description

What are the main topics covered in the AP Calculus AB and BC curriculum?
The AP Calculus AB and BC curriculum includes key topics such as limits, derivatives, integrals, and their applications. Students learn to analyze functions, understand the Fundamental Theorem of Calculus, and apply differentiation and integration techniques to solve real-world problems. The curriculum is designed to prepare students for the AP exams by emphasizing critical thinking and problem-solving skills.
How is the AP Calculus exam structured?
The AP Calculus exam consists of two sections: multiple-choice and free-response. The multiple-choice section includes questions that assess students' understanding of calculus concepts and their ability to apply mathematical procedures. The free-response section requires students to solve problems and explain their reasoning, demonstrating their grasp of calculus principles. Each section is weighted differently, contributing to the overall score.
What skills are emphasized in the AP Calculus AB and BC courses?
The AP Calculus AB and BC courses emphasize several key skills, including implementing mathematical processes, connecting representations of functions, and justifying reasoning and solutions. Students are encouraged to develop a deep understanding of calculus concepts and apply them in various contexts. This skill set is essential for success on the AP exams and in future mathematics courses.
What resources are available for teachers using the AP Calculus curriculum?
Teachers using the AP Calculus curriculum have access to a variety of resources, including instructional strategies, sample exam questions, and professional development opportunities. The College Board provides guidelines and support materials to help educators effectively teach calculus concepts and prepare students for the AP exams. These resources are designed to enhance teaching practices and improve student outcomes.
How can students prepare for the AP Calculus exams?
Students can prepare for the AP Calculus exams by reviewing the course content outlined in the Course and Exam Description, practicing with past exam questions, and utilizing study guides. Engaging in collaborative learning, seeking help from teachers, and using graphing calculators for visualization can also enhance understanding. Consistent practice and familiarity with the exam format are crucial for success.

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