Interactive STEM visualization for AP curriculum.
Interactively approximate definite integrals using left, right, and midpoint Riemann sums. Adjust the number of rectangles to watch the approximation converge to the true area under the curve.
Drag a point along any differentiable function to see the tangent line update in real time. Visualize how the slope of the tangent equals the derivative value, and explore where derivatives are zero or undefined.
Generate slope fields for any first-order ODE and trace solution curves through arbitrary initial conditions. Visualize how solutions behave near equilibria, and develop intuition for qualitative analysis.
Explore five classic function types — removable holes, jump discontinuities, vertical asymptotes, continuous functions, and oscillating functions. Drag the approach point a and adjust the delta neighborhood to see left/right limits update in real time. Automatically identifies continuity.