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

Offered By: Davidson College via edX

Course Description

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:

AB/BC: Limits
AB/BC: Definition of Derivative
AB/BC: Chain Rule
AB/BC: Implicit Differentiation
AB/BC: Mean Value Theorem
AB/BC: L’Hospital’s Rule
AB/BC: Riemann Sums
AB/BC: Functions Defined by Definite Integrals
AB/BC: Modeling & Solving Differential Equations (1)
AB/BC: Modeling & Solving Differential Equations (2)
AB/BC: Rectilinear Motion
BC: Parametric Equations
BC: Introduction to Series
BC: Series Convergence
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