Interactive Tools
Small tools for seeing the core ideas of calculus and algebra by playing with them. I use them in my lessons too.
Riemann Sums
Increase the number of rectangles and watch the sum approach the integral.
Open the toolFrom Secant to Tangent: The Derivative
Let h approach zero and watch the secant slope become the derivative.
Open the toolTaylor Polynomials
Add terms and watch the polynomial approach the function, and see where convergence stops.
Open the toolEpsilon-Delta: The Definition of a Limit
Pick an ε and try to find a δ that works for it; test the definition of a limit by hand.
Open the toolFinite Groups: Cayley Tables and Subgroups
Explore the Cayley table, centre and subgroups of every group up to order 8, and of A₄.
Open the tool