Course Overview

AP Calculus AB is designed to be the equivalent of a first semester college calculus course devoted to topics in differential and integral calculus. AP Calculus AB focuses on students’ understanding of calculus concepts and provides experience with methods and applications. Through the use of big ideas of calculus (e.g., modeling change, approximation and limits, and analysis of functions), each course becomes a cohesive whole, rather than a collection of unrelated topics. The course features a multi-representational approach to calculus, with concepts, results, and problems expressed graphically, numerically, analytically, and verbally. Exploring connections among these representations builds an understanding of how calculus applies limits to develop important ideas, definitions, formulas, and theorems. 

Units:

■ Unit 1: Limits and Continuity

■ Unit 2: Differentiation: Definition and Fundamental Properties

■ Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

■ Unit 4: Contextual Applications of Differentiation

■ Unit 5: Analytical Applications of Differentiation

■ Unit 6: Integration and Accumulation of Change

■ Unit 7: Differential Equations

■ Unit 8: Applications of Integration 

Suggested Materials:

Graphing Calculator (Typically TI-84, Most Recommended: TI-84 Plus CE Color), 3 inch 3 ringed Binder

Websites We'll Use:

Deltamath, Desmos, & Google Classroom