A (growing) collection of educational math visualizations in desmos and geogebra graphing calculators.
Please, rather bookmark this site than the desmos URLs since the latter will change on updates!
- Trigonometric functions
- Hyperbolic functions
- Natural logarithm, Euler number, exponential function, Lambert W-function
- Vector addition
- Scalar multiplication
- Inner product
- Homogeneous coordinates
- Line equations
- Rotation
- Refraction
- Curvature
- Bezier curve
- Hermite curve
- Cardinal curve
- Catmull-Rom curve
- Rational Bezier curve
Real valued trigonometric functions, geometric reasoning with help of the unit circle, identities, derivatives and antiderivatives: sin, arcsin, cos, arccos, tan, arctan, cot, arccot, sec, arcsec, csc, arccsc
https://www.desmos.com/calculator/5dms91pmgz
Angle sum identities:
https://www.desmos.com/calculator/qs0vt2ojbh
Angle difference identities:
https://www.desmos.com/calculator/plyunzieof
Hyperbolic sine, cosine, tangent and the unit hyperbola.
https://www.desmos.com/calculator/bgqxibub4u
Natural logarithm, Euler number, exponential function and LambertW-function of real values.
https://www.desmos.com/calculator/fknzali1gx
Adding and subtracting vectors.
https://www.desmos.com/calculator/blx95ejvti
Scaling vectors.
https://www.desmos.com/calculator/dnyvphayhr
Dot product
https://www.desmos.com/calculator/7kxoinpssq
Transformation to and from homogeneous coordinates, normalization and far points.
https://www.desmos.com/calculator/padkgx5uhb
Line equation in standard form and derivation of parametric, slope-intercept, Hesse, polar and homogeneous coordinate forms.
https://www.desmos.com/calculator/si4r5rrtkl
Rotation of canonical base vectors, coordinates, and line equations.
https://www.desmos.com/calculator/9mxcidhljn
Refraction and inner reflection of a ray of light at a plane surface between two homogeneous media.
https://www.desmos.com/calculator/gasu2wvno7
Curvature and osculating circle of a continuously differentiable function.
https://www.desmos.com/calculator/91xdbwxaxv
De Castelau algorithm, Bernstein form, polynomial form, matrix form, derivatives and curvature of Bezier curves.
https://www.desmos.com/calculator/5mxwdei16h
Polynomial and matrix form, derivatives, curvature, osculating circle, quarter circle approximation.
https://www.desmos.com/calculator/ln1exvl9il
Polynomial and matrix form, derivatives, curvature, osculating circle, quarter circle approximation.
https://www.desmos.com/calculator/06mclwqqur
Polynomial and matrix form, derivatives, curvature, osculating circle, quarter circle approximation. (Cardinal curve with tension 0.5)
https://www.desmos.com/calculator/z9slwnkvle
Circle, ellipse, parabola and hyperbola as rational Bezier curves in homogeneous coordinate matrix form.
https://www.desmos.com/calculator/j3bnviwjqv
Sinoidal wave in temporal, spatial and spatiotemporal representation
https://www.desmos.com/calculator/lowmmrrnk2
https://www.geogebra.org/classic/mwypcp4a
Sinoidal oscillating membrane in canonical cross section views
https://www.desmos.com/calculator/piocwdyyo4
Sinoidal flat wave in canonical cross section views
https://www.desmos.com/calculator/f1faftq0mt
Elliptical, circular and linear polarization of a sinoidal wave in cross section view
https://www.desmos.com/calculator/tcirqdnyt5
https://www.desmos.com/calculator/7iak1wn5zg
Trigonometric functions of complex values in the complex number plane: Sine, cosine, tangent, cotangent, secant, cosecant. Application to parametric line (grid), circle, and square.
https://www.desmos.com/calculator/nztgf6wjzu
