Key Information
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:
- L’Hospital’s Rule
- Parametric Equations
- Introduction to Series
- Series Convergence
- Series Manipulation
- Arclength
- Euler’s Method
- Improper Integrals
- Integration Techniques: Partial Fractions
- Integration Techniques: Integration by Parts
- 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)
Prerequisite
Foundational/prerequisite knowledge in Calculus AB and/or BC before attempting these units.
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
Instructors
Stephen Davis
Professor, Mathematics and Computer Science
Davidson College
Ben Klein
Professor
Davidson College
Jane Wortman
AP® Calculus BC Lead Instructor
Content Designer
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