list 11 sequences
assignment Level : Introductive
chat_bubble_outline Language : English
card_giftcard 176 point
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Key Information

credit_card Free access
verified_user Fee-based Certificate
timer 22 hours in total

About the content

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.

  • 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)

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Prerequisite

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

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Syllabus

  • 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
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Instructors

Stephen Davis
Professor, Mathematics and Computer Science
Davidson College

Ben Klein
Professor
Davidson College

Jane Wortman
AP® Calculus BC Lead Instructor

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Davidson Next
Davidson Next
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