Calculus: The Mathematics of Change

Master limits, derivatives, integrals, and series through interactive visualizations, real-world applications, and step-by-step problem solving.

Core Calculus Topics

Limits

Visualize function behavior near points, explore one-sided limits, and epsilon-delta definitions with interactive graphs.

Start Limits →

Derivatives

Discover rates of change through tangent lines, optimization problems, and related rates with animated visual proofs.

Practice Derivatives →

Integrals

Explore accumulation, area under curves, and the fundamental theorem with interactive integration examples.

Start Integrals →

Series

Analyze convergence, divergent series, and Taylor expansions with animated sequence visualizations.

Explore Series →

Hands-On Learning Tools

Graphing Explorer

Visualize functions and their derivatives/integrals in real-time with interactive sliders for parameters.

Launch Tool

Step-by-Step Solver

Get structured solutions with interactive hints for derivative calculations and integral transformations.

Try Solver

Applications Lab

Apply calculus to physics problems, economics models, and engineering challenges through simulations.

Explore Applications

How We Teach Calculus

Concept First

Develop deep conceptual understanding through visual analogies and physical intuition before formal definitions.

Pattern Recognition

Discover mathematical patterns through interactive challenges that connect calculus concepts to real-world behavior.

Adaptive Practice

Personalized problem sets that adjust difficulty based on your understanding of limits, derivatives, and integrals.

Your Calculus Progress

Overall Mastery 68% Complete

Limits

85%

Integrals

52%
View Full Progress

Start Mastering Calculus

40+ interactive lessons, 1,000+ practice problems, and dynamic visualization tools to build proficiency from foundational concepts to advanced applications.

Begin Limits Lesson