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

Master the most difficult topics in your AP® Calculus AB & Calculus BC courses.

14 weeks
2–4 hours per week
Self-paced
This course is archived

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.

### At a glance

• Institution:

DavidsonNext

• Subject: Math
• Level: Introductory
• Prerequisites:

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

• Language: English
• Video Transcript: English
• Associated skills:Differential Equations, Calculus, Blended Learning

# What you'll learn

Skip What you'll learn
• Mastery of challenging concepts from the AP® Calculus AB & BC curricula
• Build confidence in the material as you learn concepts from experienced AP® Calculus teachers
• Build graphical intuition through interactive graphing

# Syllabus

Skip 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