AP Calculus BC

Course Overview

AP Calculus BC is the equivalent of both first- and second-semester college calculus. It includes everything in AP Calculus AB — limits, derivatives, and integrals — plus advanced BC-only topics: integration by parts, partial fractions, improper integrals, Euler's method and logistic models, arc length, parametric and polar functions, and infinite sequences and series. Aligned with the College Board's ten-unit course framework, this 1:1 course moves at a faster pace while building the mathematical practices the exam rewards.

What You'll Learn

• 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 (incl. BC-only techniques)
• Unit 7: Differential Equations (incl. Euler's Method & logistic models)
• Unit 8: Applications of Integration (incl. arc length)
• Unit 9 (BC only): Parametric Equations, Polar Coordinates & Vector-Valued Functions
• Unit 10 (BC only): Infinite Sequences and Series
• Multiple-choice strategy for both calculator and no-calculator sections
• Free-response practice with justification and correct notation

Who Is This For?

• →High school students taking or planning to take AP Calculus BC
• →Strong math students who want to earn credit for Calculus I & II
• →Students heading into engineering, math, physics, or CS majors
• →Anyone targeting a 4 or 5 on the AP Calculus BC exam

By The End You'll Be Able To

• Master every AB topic plus all ten units of the BC framework
• Work confidently with series, Taylor polynomials, and polar curves
• Justify reasoning using definitions, theorems, and correct notation
• Be fully prepared for the AP Calculus BC exam format and pacing