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AP Course Content
Unit 1: Limits and Continuity
You’ll start to explore how limits will allow you to solve problems involving change and to
better understand mathematical reasoning about functions.
Topics may include:
How limits help us to handle change at an instant
Definition and properties of limits in various representations
Definitions of continuity of a function at a point and over a domain
Asymptotes and limits at infinity
Reasoning using the Squeeze theorem and the Intermediate Value Theorem
On The Exam
4%–7% of exam score
Unit 2: Differentiation: Definition and Fundamental Properties
You’ll apply limits to define the derivative, become skillful at determining derivatives, and
continue to develop mathematical reasoning skills.
Topics may include:
Defining the derivative of a function at a point and as a function
Connecting differentiability and continuity
Determining derivatives for elementary functions
Applying differentiation rules
On The Exam
4%–7% of exam score
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
You’ll master using the chain rule, develop new differentiation tech niques, and be
introduced to higher-order derivatives.
Topics may include:
The chain rule for differentiating composite functions
Implicit differentiation
Differentiation of general and particular inverse functions
Determining higher-order derivatives of functions
On The Exam
4%–7% of exam score
Unit 4: Contextual Applications of Differentiation
You’ll apply derivatives to set up and solve real-world problems involving instantaneous
rates of change and use mathematical reasoning to determine limits of certain
indeterminate forms.
Topics may include:
Identifying relevant mathematical information in verbal representations of real-world problems
involving rates of change
Applying understa
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