Student Guide — Chen Math Academy Calculator

Quick examples (click a 2D add-button, then type)

Want	Type
Parabola	x^2 - 2x + 1
Region shading	y < x^2 or y >= sin(x)+1
Polar rose	sin(3θ) (Polar mode)
Parametric circle	cos(t) , sin(t)
Vector field	-y , x
Slope field	x + y (means dy/dx = x + y)
3D paraboloid	x^2 + y^2
3D sphere (spherical)	2 (Spherical mode)
Cylinder (cylindrical)	2 (Cylindrical mode)
Space curve	cos(t), sin(t), t/4
Helix vector field	-y, x, 0

Syntax

Operators: + − * / ^ ! and implicit multiplication: 2x, 3(x+1), 2 pi

Constants: pi, tau, e, phi, inf (also π, θ, φ, ρ, τ symbols work)

Trig (radians): sin cos tan sec csc cot + asin acos atan, hyperbolic sinh cosh tanh

Math: ln log log2 log10 exp sqrt cbrt abs floor ceil round sign mod min max hypot

Combinatorics: fact(n) or n!, ncr(n,k), npr(n,k)

Piecewise: if(cond, then, else) — e.g. if(x<0, -x, x)

Logic: and or, comparisons < <= > >= == !=

Sums & products: sum(i^2, i, 1, 10), prod(1+1/k, k, 1, 20)

Variables: x, y, t, theta, phi, rho + sliders a b c d

Mouse / touch

2D: drag to pan, scroll to zoom, double-click to reset. Hover with Trace on to see values, derivative and the osculating (curvature) circle.

3D: drag to rotate, Shift-drag (or right-drag) to pan, scroll to zoom.

Analysis tools

Find Roots / Intersections mark exact points on the 2D graph. Calc Tools compute derivatives, curvature κ, definite integrals, arc length, roots and extrema numerically.