AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC from edX

Well-respected AP instructors from around the United States will lead you through video instruction, exam-style questions and interactive activities to help you master the most challenging concepts in the AP® Calculus AB & Calculus BC curriculum.

Each module will cover one of the most demanding concepts in this AP® Calculus AB & Calculus BC (based on College Board data from 2011–2013 Advanced Placement® exams).

These tricky topics are 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:

AB/BC: Limits
AB/BC: Definition of Derivative
AB/BC: Chain Rule
AB/BC: Implicit Differentiation
AB/BC: Mean Value Theorem
AB/BC: L’Hospital’s Rule
AB/BC: Riemann Sums
AB/BC: Functions Defined by Definite Integrals
AB/BC: Modeling & Solving Differential Equations (1)
AB/BC: Modeling & Solving Differential Equations (2)
AB/BC: Rectilinear Motion
BC: Parametric Equations
BC: Introduction to Series
BC: Series Convergence
BC: Series Manipulation

This course is specifically designed for blended learning in AP classrooms, but can also be used by AP students independently as supplementary help and exam review.

*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.

What you'll learn

Mastery of challenging concepts from the AP® Calculus AB & BC curricula
Build confidence in the material as you learn concepts from experienced AP® Calculus teachers
Build graphical intuition through interactive graphing
Practice for your exam with graded exam-style questions (with explanations)

What's inside

Learning objectives

Mastery of challenging concepts from the ap® calculus ab & bc curricula
Build confidence in the material as you learn concepts from experienced ap® calculus teachers

Build graphical intuition through interactive graphing
Practice for your exam with graded exam-style questions (with explanations)

Mastery of challenging concepts from the ap® calculus ab & bc curricula
Build confidence in the material as you learn concepts from experienced ap® calculus teachers
Build graphical intuition through interactive graphing
Practice for your exam with graded exam-style questions (with explanations)

Syllabus

Limits : Pario-Lee Law, AP Calculus Instructor, D'Evelyn Junior/Senior High School, Littleton, CO

Chain Rule : Monique Morton, Mathematics Director, AdvanceKentucky, Lexington, KY

Implicit Differentiation : Monique Morton, Mathematics Director, AdvanceKentucky, Lexington, KY

Rectilinear Motion , Vicki Carter, AP Calculus Instructor, West Florence High School, Florence, SC

Parametric Equations : Vicki Carter, AP Calculus Instructor, West Florence High School, Florence, SC

L’Hospital’s Rule : Mark Howell, AP Calculus Instructor, Gonzaga High School, Washington, DC

Riemann Sums : Peter Atlas, AP Calculus Instructor, Concord Carlisle Regional High School, Concord, MA

Functions Defined by Definite Integrals: Scott Pass, AP Calculus Instructor, McCallum High School, Austin, TX

Modeling with & Solving Differential Equations (1): Jennifer Wexler, AP Calculus Instructor, New Trier High School, Winnetka, IL

Modeling with & Solving Differential Equations (2): Jennifer Wexler, AP Calculus Instructor, New Trier High School, Winnetka, IL

Introduction to Series : Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA

Series Convergence : Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA

Series Manipulation : Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Covers a wide selection of AP® Calculus AB & BC concepts, making it suitable for both AB and BC students

Instructors are experienced AP® Calculus teachers, providing learners with expert guidance

Features bite-sized instructional videos, interactive graphs, and practice problems to enhance understanding

Provides support for exam preparation through graded exam-style questions with explanations

Specifically designed for blended learning in AP classrooms, ensuring alignment with classroom curriculum

Teaches challenging AP® Calculus AB & BC concepts in a clear and structured manner

Career center

Learners who complete AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC will develop knowledge and skills that may be useful to these careers:

Mathematician

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Physicist

Physicists study the fundamental laws of nature. They are responsible for developing and testing theories that explain the behavior of matter and energy. [Course name] can be helpful for Physicists because it provides a strong foundation in calculus, which is used in many physics equations. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding physics and solving physics problems.

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Engineer

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Quantitative Analyst

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Data Scientist

Data Scientists use mathematical and statistical techniques to analyze data and make predictions. They are responsible for developing and implementing data science models, which are used to solve problems and make decisions. [Course name] can be helpful for Data Scientists because it provides a strong foundation in calculus, which is used in many data science models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding data and making sound predictions.

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Operations Research Analyst

Operations Research Analysts use mathematical and analytical techniques to solve problems and improve processes in a variety of industries. They are responsible for developing and implementing solutions to complex problems, such as optimizing supply chains, scheduling production, and managing inventory. [Course name] can be helpful for Operations Research Analysts because it provides a strong foundation in calculus, which is used in many optimization models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding data and making sound decisions.

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Investment Analyst

Investment Analysts use mathematical and statistical techniques to analyze financial data and make investment recommendations. They are responsible for evaluating the financial health of companies, making recommendations on which stocks or bonds to buy or sell, and providing advice to clients on how to manage their investments. [Course name] can be helpful for Investment Analysts because it provides a strong foundation in calculus, which is used in many financial models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding financial data and making sound investment decisions.

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Risk Analyst

Risk Analysts use mathematical and statistical techniques to assess risk and uncertainty. They are responsible for developing and implementing risk management strategies, such as insurance policies and pension plans. [Course name] can be helpful for Risk Analysts because it provides a strong foundation in calculus, which is used in many risk models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding risk and uncertainty.

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Computer Scientist

Computer Scientists design, develop, and maintain software applications. They are responsible for the entire software development process, from gathering requirements to testing and deployment. [Course name] can be helpful for Computer Scientists because it provides a strong foundation in mathematics, which is essential for understanding computer science concepts. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all used in computer science.

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Actuary

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Economist

Economists use mathematical and statistical techniques to analyze economic data and make predictions about the economy. They are responsible for developing and implementing economic policies, such as monetary policy and fiscal policy. [Course name] can be helpful for Economists because it provides a strong foundation in calculus, which is used in many economic models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding economic data and making sound predictions.

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Statistician

Statisticians use mathematical and statistical techniques to collect, analyze, and interpret data. They are responsible for designing and conducting surveys, experiments, and other data collection methods. They also use statistical software to analyze data and draw conclusions. [Course name] can be helpful for Statisticians because it provides a strong foundation in calculus, which is used in many statistical models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding data and making sound conclusions.

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Financial Analyst

Financial Analysts use mathematical and statistical techniques to analyze financial data and make investment recommendations. They are responsible for evaluating the financial health of companies, making recommendations on which stocks or bonds to buy or sell, and providing advice to clients on how to manage their investments. [Course name] can be helpful for Financial Analysts because it provides a strong foundation in calculus, which is used in many financial models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding financial data and making sound investment decisions.

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Data Analyst

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Software Engineer

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AP® Calculus

Challenging Concepts from Calculus AB & Calculus BC

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