AP Calculus AB
Overview
Comparable to college and university calculus, this course helps prepare you for the Calculus AB Advanced Placement exam. Study limits, continuity, differentiation, integrated algebraic, trigonometric, and transcendental functions, and the applications of derivatives and integrals.
Major Concepts:
- Review of Function Terminology and More
- Graphing Calculators
- Compositions and Transformations of Functions
- Some Common Functions
- Introduction to Limits
- Properties of Limits
- Limits Involving Infinity
- Continuity
- Applications of Limits
- The Derivative
- Rules of Differentiation
- Trigonometric Derivatives and the Chain Rule
- Inverse Functions
- Exponential and Logarithmic Functions
- Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
- Implicit Differentiation
- Analyzing Functions Part I: Curve Sketching
- Analyzing Functions Part II: Maximums and Minimums
- Applied Maximum and Minimum Problems
- Distance, Velocity, Acceleration, and Rectilinear Motion
- Related Rates
- The Mean-Value Theorem and L’Hôpital’s Rule
- Linearization
- Area Approximation and Riemann Sums
- Introduction to the Definite Integral
- The Fundamental Theorem of Calculus
- Integrals and Antiderivatives
- Integration by Substitution
- The Definite Integral
- Volume by Discs (Slicing)
- Finding the Area Under and Between Curves
- Average Value of a Function and Rectilinear Motion Revisited
- Differential Equations – An Introduction
- Initial Value Problems and Slope Fields
- Numerical Approximation Methods with Integrals
- Exploring the Graphs of f, f Prime, and f Double Prime
- Using Calculus with Data in a Table
- Functions Defined By Integrals
- AP Exam Review and Test Taking Tips and Practice
Fee Structure
Click Here for Fee Structure
Grade Level
Grade 11, 12
Duration
Annual
Requirements
Calculator approved for use on the AP exam
Prerequisites
Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry
