Visual Math Lab
Interactive visualizations to build mathematical intuition. Drag, explore, and discover.
Unit Circle Explorer
Drag a point around the circle. See sin, cos, and tan come alive with synchronized wave graphs.
Riemann Sum Explorer
Watch rectangles approximate the area under a curve. Adjust the count and see convergence in real-time.
Matrix Transformer
Apply 2x2 matrices to shapes. See rotation, shear, scaling, and reflection happen live.
Taylor Series Builder
Add terms one by one. Watch the polynomial approximate sin, cos, and e^x.
Function Plotter
Type any function, see it graphed live. Plot up to 3 functions with hover crosshair.
Central Limit Theorem
Roll dice, draw from any distribution. Watch the sample mean become normal.
Normal Distribution
Calculate z-scores, shade areas, and find probabilities under the bell curve with adjustable mean and standard deviation.
Derivative Visualizer
Move a point along any curve. See the tangent line, slope value, and optional f'(x) curve update live.
Quadratic Explorer
Adjust a, b, c and watch the parabola reshape. See vertex, roots, discriminant, and vertex form live.
Pythagorean Theorem
Drag triangle vertices to explore a²+b²=c². Watch squares on each side prove the theorem visually.
Circle Theorems
Explore inscribed angles, central angles, tangents, and cyclic quadrilaterals. Drag points to see theorems in action.
Trig Graphs
Visualize sin, cos, tan with adjustable amplitude, frequency, phase shift. See transformations in real-time.
Triangle Solver
Solve any triangle using law of sines and cosines. Enter 3 values (SSS, SAS, ASA, AAS) and calculate all sides and angles.
Statistics Dashboard
Create box plots and histograms. Calculate quartiles, median, mean, IQR, and identify outliers from your data.
3D Shape Calculator
Calculate volume and surface area of 11 shapes including cube, sphere, torus, tetrahedron. Interactive 3D with rotation.
Linear Equation Explorer
Adjust slope m and y-intercept b. See the slope triangle, intercepts, parallel and perpendicular lines update live.
Systems of Equations
Graph two lines and find their intersection. Explore one solution, no solution (parallel), and infinite solutions.
Polynomial Roots Explorer
Drag roots on the x-axis and watch the polynomial reshape. See factored form, end behavior, and degree 2-5.
Exponential & Log Explorer
Visualize y=a^x and y=log_a(x) side by side. Adjust the base, see growth vs decay and the reflection across y=x.
Conic Sections Explorer
Explore ellipses, hyperbolas, parabolas, and circles. See foci, vertices, eccentricity, asymptotes, and directrices.
Geometric Transformations
Apply translations, rotations, reflections, and dilations to shapes. See original and transformed figures with mapping rules.
2D Vector Explorer
Drag vector tips to explore addition, dot product, magnitude, angle, and projection. Parallelogram rule visualized.
Sequences & Series
Compare arithmetic and geometric sequences. See terms as bars, partial sums, convergence behavior, and nth term formulas.
Complex Number Explorer
Drag complex numbers on the Argand plane. See addition, multiplication, polar form, modulus, and argument live.
Polar Coordinates
Graph rose curves, cardioids, spirals, lemniscates. Watch the curve traced with animated θ sweep.
Parametric Curves
Trace Lissajous figures, epicycloids, astroids, and butterfly curves. Watch x(t), y(t) sweep out beautiful shapes.
Probability Distributions
Compare Binomial, Poisson, Geometric, and Uniform distributions. See PMF bars, mean, variance, and standard deviation.
Limits & Continuity
Explore removable, jump, infinite, and oscillating discontinuities. Visualize the epsilon-delta definition of a limit.
Slope Fields & ODEs
See direction fields for differential equations. Click to place initial conditions and trace solution curves via Euler's method.
Regression & Scatter Plot
Drag data points and watch the least-squares line update live. See R², residuals, and correlation coefficient.
Fractal Explorer
Explore Koch snowflakes, Sierpinski triangles, fractal trees, Barnsley ferns, and the Mandelbrot set with adjustable iterations.
Venn Diagram Maker
Drag circles to explore set operations: union, intersection, difference, symmetric difference, and complement with element display.
Matrix Calculator
Compute determinant, inverse, eigenvalues, and eigenvectors of a 2×2 matrix. See the unit square transform with basis vectors.
Integration Explorer
Visualize definite integrals with shaded area, Fundamental Theorem of Calculus, and area between curves for 6 functions.
Permutations & Combinations
Explore Pascal’s triangle, nPr and nCr calculations. See selection and arrangement visualizations with counting principles.
Steiner Funnel
Watch A(x,n) and B(x,n) circuits trace 3-D helices forming a tapering funnel. A spirals CCW, B spirals CW. Drag to rotate.
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