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

Davidson College via edX

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Overview

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.

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

Taught by

Ben Klein and Stephen Davis

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