Course 07 · AP

AP Calculus BC

All of AB plus series, parametric, and advanced integration.

Overview

What this course covers.

AP Calculus BC is the full calculus sequence — everything in AB plus infinite series, parametric and polar curves, and more advanced integration techniques. This is the highest-level math course available at most high schools.

PrerequisitesAP Calculus AB (or concurrent with strong AB foundation).

Curriculum

Topics & units.

Unit 1

All AB Topics

›Full review and mastery of AB content
›Derivative & integral techniques
›Applications of calculus
›FTC parts 1 & 2

Unit 2

Advanced Integration

›Integration by parts
›Partial fractions
›Improper integrals
›Logistic growth models

Unit 3

Parametric & Polar

›Derivatives of parametric equations
›Arc length (parametric)
›Polar coordinates & curves
›Area in polar form

Unit 4

Infinite Series

›Sequences & convergence
›Series tests (geometric, p-series, ratio, comparison)
›Taylor & Maclaurin series
›Radius & interval of convergence

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