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AP® Calculus BC

Learn AP® Calculus BC topics from highly respected AP Calculus instructors to prepare for the AP® Calculus BC exam.

This course is archived
Estimated 11 weeks
2–4 hours per week
Self-paced
Progress at your own speed
Free
Optional upgrade available

About this course

Skip About this course

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.

At a glance

  • Institution: DavidsonNext
  • Subject: Math
  • Level: Introductory
  • Prerequisites:

    Foundational/prerequisite knowledge in Calculus AB and/or BC before attempting these units.

  • Language: English
  • Video Transcript: English

What you'll learn

Skip What you'll learn
  • Mastery of concepts from the AP® Calculus BC curriculum
  • 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)
  • 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
  • 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
  • Arclength: Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA
  • Euler’s Method: Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA
  • Improper Integrals: Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA
  • Integration Techniques: Partial Fractions: Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA
  • Integration Techniques: Integration by Parts: Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA
  • The Calculus of Polar Functions: Jane Wortman, AP Calculus Instructor, Beverly Hills High School, Beverly Hills, CA

About the instructors

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