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AP® Calculus BC

Jane Wortman, Stephen Davis, Ben Klein, and Stephen Davis

In this calculus course, you will learn all the Calculus BC topics that are not part of the AP® Calculus AB curriculum by engaging with video instruction, exam-style questions and interactive activities.

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In this calculus course, you will learn all the Calculus BC topics that are not part of the AP® Calculus AB curriculum by engaging with video instruction, exam-style questions and interactive activities.

Each topic is broken up into bite-sized pieces—with short instructional videos, interactive graphs, and practice problems written by many of the same people who write and grade your AP® Calculus exams.

Topics include:

  1. L’Hospital’s Rule
  2. Parametric Equations
  3. Introduction to Series
  4. Series Convergence
  5. Series Manipulation
  6. Arclength
  7. Euler’s Method
  8. Improper Integrals
  9. Integration Techniques: Partial Fractions
  10. Integration Techniques: Integration by Parts
  11. The Calculus of Polar Functions

This course is specifically designed for students who have already taken (or are currently enrolled in) Calculus AB. This course combined with a traditional Calculus AB course will prepare students to take the Calculus BC exam.

*Advanced Placement® and AP® are trademarks registered and/or owned by the College Board, which was not involved in the production of, and does not endorse, these offerings.

Good to know

Know what's good
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Offers BC material not covered by AB, preparing students for BC exam
Specifically designed for students who have already taken AB
Instructors are renowned AP® Calculus writers and graders
Covers essential topics for BC exam, including series, improper integrals, and polar functions
Engages learners with bite-sized videos, graphs, and interactive problems
Part of a sequence of courses that may require prerequisites

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Learners who complete AP® Calculus BC will develop knowledge and skills that may be useful to these careers:
Quantitative Analyst
Quantitative Analysts use mathematical and statistical models to analyze and forecast financial data. They work in investment banks, hedge funds, and other financial institutions. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in quantitative analysis.
Financial Analyst
Financial Analysts analyze financial data and make recommendations to investors. They use mathematical and statistical models to evaluate the performance of stocks, bonds, and other investments. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in financial analysis.
Statistician
Statisticians collect, analyze, and interpret data. They work in a variety of industries, including healthcare, education, and government. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in statistics.
Actuary
Actuaries use mathematical and statistical skills to assess and manage risk. They work in insurance, finance, and other industries to develop and implement solutions to financial problems. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in actuarial work.
Biostatistician
Biostatisticians use statistical methods to analyze data in the field of healthcare. They work with doctors, nurses, and other healthcare professionals to design and conduct studies, and to interpret and communicate the results of those studies. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in biostatistics.
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to improve the efficiency and effectiveness of organizations. They work in a variety of industries, including manufacturing, transportation, and healthcare. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in operations research.
Project Manager
Project Managers plan, organize, and execute projects. They work in a variety of industries, including construction, software development, and manufacturing. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in project management.
Data Analyst
Data Analysts interpret and communicate data to help organizations make informed decisions. They use statistical methods and software to analyze data, identify trends, and develop insights. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in data analysis.
Operations Manager
Operations Managers plan, organize, and oversee the day-to-day operations of an organization. They work in a variety of industries, including manufacturing, retail, and healthcare. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in operations management.
Risk Manager
Risk Managers identify, assess, and mitigate risks. They work in a variety of industries, including finance, insurance, and healthcare. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in risk management.
Economist
Economists use economic theory and data to analyze and forecast the economy. They work in a variety of settings, including government, academia, and the private sector. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in economics.
Market Research Analyst
Market Research Analysts conduct research to understand consumer behavior and preferences. They use this information to help businesses develop and market their products and services. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in market research.
Software Engineer
Software Engineers design, develop, and test software applications. They work in a variety of industries, including tech, finance, and healthcare. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in software engineering.
Teacher
Teachers help students learn and grow. They work in a variety of settings, including schools, colleges, and universities. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in teaching mathematics.
Technical Writer
Technical Writers create and maintain documentation for technical products and services. They work in a variety of industries, including software, engineering, and manufacturing. The AP® Calculus BC course provides a strong foundation in mathematical concepts and analytical techniques that are essential for success in this role. The course covers topics such as L'Hospital's Rule, parametric equations, and integration techniques, which are commonly used in technical writing.

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