AP Calculus BC
Overview
Comparable to college and university calculus, this course will help prepare you for the Calculus BC Advanced Placement exam. Study limits, continuity, differentiation, and integrated algebraic, trigonometric, and transcendental functions, as well as explore applications of derivatives and integrals, infinite series, and parametric and polar equations.
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
Fee Structure
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Grade Level
Grade 11, 12
Duration
Annual
Requirements
Household items for lab experiments
Prerequisites
Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry.
