We may earn an affiliate commission when you visit our partners.
Course image
Course image
edX logo

AP® Calculus

Challenging Concepts from Calculus AB & Calculus BC

Ben Klein and Stephen Davis

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.

Read more

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:

  1. AB/BC: Limits
  2. AB/BC: Definition of Derivative
  3. AB/BC: Chain Rule
  4. AB/BC: Implicit Differentiation
  5. AB/BC: Mean Value Theorem
  6. AB/BC: L’Hospital’s Rule
  7. AB/BC: Riemann Sums
  8. AB/BC: Functions Defined by Definite Integrals
  9. AB/BC: Modeling & Solving Differential Equations (1)
  10. AB/BC: Modeling & Solving Differential Equations (2)
  11. AB/BC: Rectilinear Motion
  12. BC: Parametric Equations
  13. BC: Introduction to Series
  14. BC: Series Convergence
  15. 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)

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
Read more
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

Save this course

Save AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC to your list so you can find it easily later:
Save

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
Mathematicians develop new mathematical theories and solve mathematical problems. They are responsible for advancing our understanding of mathematics and its applications in other fields. [Course name] can be helpful for Mathematicians because it provides a strong foundation in calculus, which is a fundamental area of mathematics. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding mathematics and solving mathematical problems.
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.
Engineer
Engineers design, develop, and maintain machines, structures, and other products. They are responsible for the entire engineering process, from concept development to testing and deployment. [Course name] can be helpful for Engineers because it provides a strong foundation in calculus, which is used in many engineering models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding engineering principles and solving engineering problems.
Quantitative Analyst
Quantitative Analysts use mathematical and statistical techniques to analyze financial data and make investment decisions. They are responsible for developing and implementing quantitative models to predict the performance of stocks, bonds, and other financial instruments. [Course name] can be helpful for Quantitative Analysts because it provides a strong foundation in calculus, which is used in many quantitative 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.
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.
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.
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.
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.
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.
Actuary
Actuaries use mathematical and statistical techniques to assess risk and uncertainty. They are responsible for developing and implementing insurance policies, pension plans, and other financial products. [Course name] can be helpful for Actuaries because it provides a strong foundation in calculus, which is used in many actuarial models. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding risk and uncertainty.
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.
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.
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.
Data Analyst
Data Analysts use logical and mathematical techniques to analyze data. They are responsible for extracting meaningful insights from data, which can be used to make decisions, solve problems, and improve processes. [Course name] can be helpful for Data Analysts because it provides a strong foundation in calculus, which is a fundamental mathematical skill used in data analysis. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all essential for understanding data and making accurate predictions.
Software Engineer
Software Engineers 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 Software Engineers because it provides a strong foundation in mathematics, which is essential for understanding software design and development. Additionally, the course covers topics such as limits, derivatives, and integrals, which are all used in software development.

Reading list

We've selected 0 books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC.

Share

Help others find this course page by sharing it with your friends and followers:

Similar courses

Similar courses are unavailable at this time. Please try again later.
Our mission

OpenCourser helps millions of learners each year. People visit us to learn workspace skills, ace their exams, and nurture their curiosity.

Our extensive catalog contains over 50,000 courses and twice as many books. Browse by search, by topic, or even by career interests. We'll match you to the right resources quickly.

Find this site helpful? Tell a friend about us.

Affiliate disclosure

We're supported by our community of learners. When you purchase or subscribe to courses and programs or purchase books, we may earn a commission from our partners.

Your purchases help us maintain our catalog and keep our servers humming without ads.

Thank you for supporting OpenCourser.

© 2016 - 2024 OpenCourser