Calculus Core Mission

Limits & Continuity Explorer

Compute left-hand, right-hand, and two-sided limits numerically. SVG graph, approach table, and discontinuity classification.

Start with limits — the foundation of all calculus.

Derivative Rules Step-by-Step

Select from 23 preset examples across 8 rule categories. See the problem, rule applied, and full worked solution with KaTeX-rendered steps.

Derivative & Integral Visualizer

Plot f(x), f'(x), and F(x) together. Drag a point to see the tangent line slope and accumulated area with step-by-step differentiation.

Related Rates Visual Solver

12 classic related-rates problems with live SVG diagrams. Enter the known rate and current measurement, then see the computed unknown rate with solution steps.

Riemann Sum Explorer

Approximate definite integrals with left, right, midpoint, and trapezoidal methods. Slider for number of rectangles shows convergence.

Integral Substitution Visualizer

Work through u-substitution with 20 examples in 5 categories. Step-by-step reveal shows substitution, du setup, integration, and back-substitution.

Limits & Continuity Lab

Explore the formal epsilon-delta definition of limits, apply the squeeze theorem, and classify removable, jump, and infinite discontinuities by testing continuity conditions

Derivatives & Tangent Lines Lab

Visualize derivatives as slopes of tangent lines, animate secant lines approaching tangents as h approaches 0, explore derivative rules step by step, and compute slopes on implicit curves

FTC & Net Change Lab

Explore the Fundamental Theorem of Calculus by building accumulation functions, evaluating definite integrals with antiderivatives, and computing displacement versus total distance from velocity functions

Accumulation, Area & Volume Lab

Visualize Riemann sums converging to definite integrals. Compute area between curves and volumes of revolution using disk, washer, and shell methods with interactive cross-section views

Capstone — area, volume, and net change.