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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.

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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)

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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
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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

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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
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Engineer
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Data Scientist
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Investment Analyst
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Risk Analyst
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Computer Scientist
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Actuary
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Economist
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Statistician
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Financial Analyst
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Data Analyst
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Software Engineer
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