Taylor Polynomial
This interactive simulator explores Taylor Polynomial in Math Visualization. sin, cos, or exp vs Taylor sum about center a up to order n. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Math Visualization.
Key terms
- taylor
- polynomial
- taylor series
- math
- visualization
How it works
Compare sin, cos, or exp to the Taylor polynomial of degree n about x = a (pink dot). Same local approximation idea as linearizing U(x) near equilibrium.
More from Math Visualization
Other simulators in this category — or see all 26.
Complex Phasor
exp(iωt) on the unit circle; Re, Im, and phase φ.
Least Squares Fit
Noisy linear data; fitted slope and intercept with residuals.
Convolution (pulses)
Two rectangular pulses; overlap length at τ = 0.
Euler vs RK4 (Pendulum)
Same nonlinear pendulum ODE and step h; Euler vs RK4 side by side.
Lotka–Volterra
N′ = αN−βNP, P′ = δNP−γP; phase plane RK4; equilibrium dot.
Logistic Growth
dN/dt = rN(1−N/K); exact S-curve vs carrying capacity K.