logo

How It Works

Master AP Calculus BC

Step-by-step solutions for exam success and university prep

Try Our AP Calculus BC Practice Test

AP Calculus BC Help Logo
📈
AP exam scores improve by 1+ point
✹
Advanced calculus concept mastery
💡
University maths preparation
📚
Problem-solving confidence boost
Start Now
Exam-Focused Content

Cover every AP Calculus BC topic with precision

University-Level Prep

Build a strong foundation for advanced maths courses

Guaranteed Results

Most students improve one letter grade in 4-6 weeks

Course Topics
Test Your Skills
Why StudyPug
FAQ

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

...read more

AP Calculus BC Topics

​
​
video
Limits & Continuity
Finding limits from graphs
Limit laws
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Squeeze theorem
l'Hospital's rule
Infinite limits - vertical asymptotes
Continuity
Intermediate value theorem
video
Derivatives
Definition of derivative
Estimating derivatives from a table
Power rule
Chain rule
Derivative of trigonometric functions
Derivative of exponential functions
Derivative of logarithmic functions
Product rule
Quotient rule
Derivative of inverse trigonometric functions
Implicit differentiation
Higher order derivatives
video
Derivative Applications
Slope and equation of tangent line
Critical number & maximum and minimum values
Tangents and concavity of parametric equations
Tangents of polar curves
Curve sketching
Mean value theorem
Rectilinear motion: Derivative
Related rates
Optimization
video
Integrals
Antiderivatives
Riemann sum
Definite integral
Fundamental theorem of calculus
Improper integrals
video
Integration techniques
U-Substitution
Integration using trigonometric identities
Trigonometric substitution
Integration by parts
Integration of rational functions by partial fractions
video
Integral Applications
Average value of a function
Areas between curves
Area of polar curves
Volumes of solids with known cross-sections
Volumes of solids of revolution - Disc method
Volumes of solids of revolution - Shell method
Arc length and surface area of parametric equations
Arc length of polar curves
video
Differential Equations
Introduction to differential equations
Separable equations
Slope fields
Euler's method
video
Sequence and Series
Introduction to sequences
Introduction to infinite series
Convergence and divergence of normal infinite series
Convergence and divergence of geometric series
Divergence of harmonic series
P Series
Alternating series test
Divergence test
Comparison and limit comparison test
Integral test
Ratio test
Absolute and conditional convergence
Radius and interval of convergence with power series
Functions expressed as power series
Taylor and maclaurin series
Approximating functions with Taylor polynomials and error bounds

Our approach aligns with the evidence

+13-25%

Exam Scores

2x

Better Recall

25%

Less Anxiety
Start Practice

Explore

Geometry

Trigonometry

Algebra

Basic Maths

Statistics

Calculus

Differential Equations

Linear Algebra

Chemistry

Organic Chemistry

Physics

Microeconomics

Learning

For Students

For Parents

For Home Schoolers

For Teachers

About

About Us

How it works

Pricing

FAQ

Testimonials

Contact Us

Blog

Curriculum

Australia

Canada

Ireland

New Zealand

Singapore

United Kingdom

United States

youtube
facebook
instagram
x.com

© 2015 – 2025 StudyPug

Sitemap

Terms of Service

Privacy Policy