Calculo

A growing collection of hands-on calculus simulations. Drag a point, slide a value, and watch the idea happen. Pick a topic below — or, if you'd rather test yourself, try the practice quiz. Everything is free, and nothing needs to be installed.

Limits & Continuity

• Limits & Continuity — approaching a point from both sides
• Epsilon & Delta — the rigorous limit, made a game

The Derivative

• The Derivative & Tangent Line — slope, caught in motion
• The Chain Rule — rates multiplied down a pipeline
• Implicit Differentiation — slopes without y = f(x)
• The Mean Value Theorem — a tangent parallel to the chord
• L’Hôpital’s Rule — resolving 0/0 with slopes

Applications of the Derivative

• Maxima & Minima — finding every peak and valley
• Related Rates — the sliding ladder
• Newton’s Method — chasing a root downhill
• Taylor Approximation — a polynomial learning the curve
• Slope Fields — a field of tangents to follow

The Integral

• Area Under the Curve — Riemann sums squeezed to exactness
• The Accumulation Function — the Fundamental Theorem, seen
• Area Between Curves — top minus bottom
• Average Value — the rectangle of equal area
• Improper Integrals — a finite area out to infinity

Volumes, Curves & Series

• Volume by Disks — a curve spun into a solid
• The Shell Method — nested cylindrical shells
• Arc Length — a curve straightened out
• Parametric & Polar Curves — loops a function can’t draw
• Polar Area — wedges swept from the origin
• Infinite Series — an endless sum that settles

Practice

• Calculus Quiz — a fresh set of questions every time

Select a simulation above, or take the quiz. Each page is a small laboratory — the sliders are there to be pushed to their limits.