AP Calculus BC
Build a connected understanding of limits, derivatives, integrals, differential equations, and series—with practice designed to show you what to work on next.
Available now
Begin with limits and continuity
Unit 1 establishes the language and reasoning used throughout calculus.
Limits Lab
A self-check for the summer packet and Unit 1. Answer questions, get instant feedback and hints, and use Focus Practice to revisit whatever you are missing.
Core ideas
- Estimating limits from graphs and tables
- Applying limit laws and algebraic techniques
- Understanding continuity
- Connecting representations and reasoning
Course roadmap
AP Calculus BC units
Use this page as the course hub. New lessons and practice will appear inside each unit as they are added.
Limits and Continuity
Limits, continuity, and the foundations of calculus.
Differentiation: Definition and Fundamental Properties
Derivative definitions, rules, and interpretations.
Composite, Implicit, and Inverse Functions
Advanced differentiation techniques.
Contextual Applications of Differentiation
Rates of change, motion, and modeling.
Analytical Applications of Differentiation
Behavior of functions and optimization.
Integration and Accumulation of Change
Antiderivatives, definite integrals, and accumulation.
Differential Equations
Modeling change and solving differential equations.
Applications of Integration
Area, volume, average value, and motion.
Parametric, Polar, and Vector-Valued Functions
Calculus beyond rectangular coordinates.
Infinite Sequences and Series
Convergence, power series, and Taylor polynomials.
A simple routine
Learn. Check. Focus.
- Review the lesson or course notes.
- Use a self-check to find gaps.
- Practice the exact ideas that need attention.