Math & Calculators

Calculate percentages, percentage change, and what percent one number is of another with step-by-step breakdowns.

Calculate tips and split bills between multiple people with customizable tip percentages and rounding options.

Calculate monthly payments, total interest, and generate amortization schedules for loans and mortgages.

Calculate Body Mass Index from height and weight with category classification and healthy range guidance.

Calculate sale prices, savings amounts, and final costs after single or stacked percentage discounts.

Compute mean, median, mode, standard deviation, variance, and other descriptive statistics from a data set.

Convert between fractions, decimals, and percentages instantly with simplification and step-by-step work.

Convert numbers to and from scientific notation with precision control and engineering notation support.

Perform matrix operations including addition, multiplication, determinant, inverse, transpose, and eigenvalues.

Calculate exact age in years, months, days, and upcoming birthday countdowns from any date of birth.

Calculate the exact difference between two dates in years, months, weeks, days, and business days.

Calculate compound interest growth over time with customizable principal, rate, frequency, and contributions.

Calculate weighted and unweighted GPA from course grades and credit hours with 4.0 and 5.0 scale support.

Solve quadratic equations using the quadratic formula with step-by-step solutions, discriminant analysis, and graphing.

Estimate image file sizes based on dimensions, color depth, format, and compression level before export.

Calculate dots per inch and pixels per inch from screen or print dimensions for optimal image resolution.

Calculate area, perimeter, and volume for common 2D and 3D shapes with interactive visual diagrams.

Calculate weighted averages with customizable weights for grades, investment returns, inventory costs, or any data set.

Calculate percentage increase or decrease between two values with step-by-step formula breakdown and reverse calculation.

Calculate and convert image aspect ratios with dimension suggestions.

Calculate maximum print size at various DPI from image pixel dimensions.

Perform quantity takeoffs from construction PDF drawings with area and length measurements.

Generate random numbers within a custom range with options for no repeats, multiple draws, and history.

Enter a list of names and randomly select one or more with animation and elimination-round modes.

Customizable spinning wheel with editable segments, colors, and animated spin with a winner reveal.

Flip a virtual coin with 3D animation, sound effects, and a running tally of heads vs tails.

Roll virtual dice with support for multiple dice, custom sides (d4-d100), modifiers, and roll history.

Paste a list of items and shuffle them into a random order with animation and exportable results.

Split a list of names into balanced random teams with customizable group sizes and re-shuffle.

Get a random yes or no answer with animated reveal and optional probability weighting.

Generate random lottery numbers for popular games like Powerball, Mega Millions, and EuroMillions.

Random bingo number caller with visual board tracking, call history, and auto-call mode with adjustable speed.

Solve linear and polynomial equations with step-by-step solutions and graphical visualization.

Add, subtract, multiply, and divide fractions with step-by-step simplification and mixed number support.

Full-featured scientific calculator with trigonometric, logarithmic, exponential, and memory functions.

Plot mathematical functions on a 2D coordinate plane with zoom, pan, and multiple function overlay support.

Estimate daily calorie needs based on age, weight, height, gender, and activity level using Mifflin-St Jeor.

Estimate body fat percentage using Navy method from waist, neck, hip, and height measurements.

Calculate running pace, finish time, or distance from any two of the three values with split tables.

Estimate due date from last menstrual period or conception date with trimester timeline and milestones.

Log daily weight entries with trend line chart, goal tracking, and BMI calculation over time.

Calculate daily protein, carb, and fat macronutrient targets based on TDEE and fitness goal (cut, maintain, bulk).

Estimate BAC from drinks consumed, body weight, gender, and time elapsed using the Widmark formula.

Enter a number sequence and identify the pattern with next-value prediction and formula display.

Check if a number is prime and generate prime numbers up to any limit with factorization display.

Calculate the greatest common divisor and least common multiple of two or more numbers with steps.

Solve ratio problems including scaling, simplifying, and finding missing values in proportions.

Calculate the missing side of a right triangle from two known sides with visual diagram.

Calculate area and perimeter for rectangles, circles, triangles, and other shapes with visual diagrams.

Calculate volume for cubes, spheres, cylinders, cones, and other 3D shapes with formula display.

Calculate probabilities for coin flips, dice rolls, card draws, and custom events with combination support.

Calculate permutations and combinations (nPr, nCr) with step-by-step factorial breakdown.

Enter data points and see standard deviation, mean, and normal distribution curve with interactive visualization.

Perform addition, subtraction, multiplication, and division on binary numbers with step-by-step visualization.

Perform arithmetic operations on hexadecimal numbers with real-time decimal and binary conversion.

Calculate the Least Common Multiple and Greatest Common Divisor of two or more numbers with step-by-step factorization.

Generate Fibonacci sequences to any length with golden ratio visualization and spiral drawing on canvas.

Plot mathematical functions with zoom, pan, and trace. Supports polynomial, trigonometric, exponential, and logarithmic functions with derivative overlay.

Plot parametric equations x(t) and y(t) with animated trace, adjustable parameter ranges, and multiple curve overlay.

Graph polar equations r(theta) with animated sweep, fill regions, and common curve presets like roses, cardioids, and lemniscates.

Visualize implicit equations f(x,y)=0 using marching squares. Supports circles, conics, and arbitrary implicit relations.

Render 3D surface plots z=f(x,y) with WebGL. Rotate, zoom, and toggle wireframe, color maps, and contour projections.

Visualize 2D vector fields with arrow plots, streamlines, and magnitude coloring. Enter component functions F(x,y) and G(x,y).

Draw slope fields for first-order ODEs dy/dx=f(x,y). Click to trace solution curves and compare with exact solutions.

Generate contour (level curve) maps for z=f(x,y) with adjustable levels, color fills, and gradient vectors.

Graph systems of linear and nonlinear inequalities with shaded feasible regions. Identify vertices and bounded regions.

Define and plot piecewise functions with domain intervals. Shows open/closed endpoints, continuity checks, and limits.

Construct geometric figures with points, lines, circles, and polygons. Measure angles, distances, and areas dynamically.

Solve triangles from any combination of sides and angles. Shows the triangle to scale with all computed values and area.

Interactive demonstrations of inscribed angles, tangent theorems, chord properties, and cyclic quadrilaterals with draggable points.

Explore ellipses, parabolas, hyperbolas, and circles by adjusting parameters. Shows foci, directrix, eccentricity, and equations.

Apply translations, rotations, reflections, and dilations to shapes. Compose transformations and see matrix representations.

Create regular, semi-regular, and custom tessellations. Explore symmetry groups and Escher-style tiling with drag-to-deform.

Drag a right triangle and watch area squares animate on each side. Includes algebraic and geometric proofs.

Calculate midpoints, distances, slopes, line equations, and intersections on an interactive coordinate plane.

Explore Platonic and Archimedean solids in 3D. Rotate, unfold to nets, and verify Euler formula V-E+F=2.

Visualize the golden ratio in rectangles, spirals, pentagons, and Fibonacci sequences with interactive constructions.

Measure and construct angles with a virtual protractor. Convert between degrees, radians, and gradians with visual arcs.

Calculate area and perimeter for 20+ shapes with visual diagrams. Includes circles, polygons, ellipses, and sectors.

Calculate volume and surface area for 15+ 3D shapes with interactive 3D previews. Spheres, cones, prisms, and more.

Explore rotational and reflective symmetry groups. Draw a motif and see it replicated under dihedral and cyclic group operations.

Trace loci of points under geometric constraints. Explore ellipse, parabola, and cardioid generation through linkage mechanisms.

Explore sin, cos, tan and their inverses with amplitude, period, phase shift, and vertical shift sliders. Shows transformations live.

Enter two trigonometric expressions and verify identity by graphical comparison and numerical sampling across domains.

Interactive triangle demonstrating the law of sines and cosines. Drag vertices and watch ratios and formulas update.

Build periodic waveforms from sine and cosine harmonics. Visualize square, sawtooth, and triangle wave approximations term by term.

Generate Lissajous figures by adjusting frequency ratios, phase differences, and damping. Animate the drawing process.

Visualize sinh, cosh, tanh and their inverses. Compare with circular trig functions and explore catenary curve applications.

Simulate constructive and destructive interference of two waves. Adjust amplitude, frequency, and phase to see superposition.

See the derivative as a tangent line slope. Animate the tangent point and plot f(x) alongside f\

Visualize definite integrals as area under curves. Compare Riemann sums (left, right, midpoint, trapezoidal) with n subdivisions.

Investigate limits visually by zooming into function behavior near a point. Shows left/right limits, holes, and asymptotes.

Approximate functions with Taylor/Maclaurin polynomials. Add terms incrementally and see convergence radius visually.

Rotate curves around axes to generate 3D solids. Calculate volume using disk, washer, and shell methods with animations.

Solve and visualize first and second-order ODEs numerically. Supports Euler, RK4 methods with phase portraits.

Practice epsilon-delta limit proofs interactively. Given epsilon, find delta that satisfies the definition with visual feedback.

Calculate and visualize arc length of curves with the integral formula. Supports Cartesian, parametric, and polar curves.

Test infinite series for convergence using ratio, root, comparison, integral, and alternating series tests with partial sum plots.

Visualize partial derivatives, gradient vectors, and double integrals on 3D surfaces with interactive cross-sections.

Compute Laplace transforms and inverses for common functions. Visualize time-domain and s-domain representations side by side.

Find and visualize local/global maxima and minima of functions. Shows critical points, second derivative test, and constraint optimization.

Animate classic related rates problems: expanding balloon, sliding ladder, filling cone. See rates change in real time.

Add, subtract, scale, and compute dot/cross products of 2D vectors visually. Shows projections and angle between vectors.

Manipulate 3D vectors in a rotatable WebGL scene. Compute cross products, projections, and visualize planes and normal vectors.

See how 2x2 matrices transform the plane. Drag basis vectors and watch the grid deform. Shows determinant, eigenvalues, and SVD.

Compute eigenvalues and eigenvectors of 2x2 and 3x3 matrices. Visualize eigenvectors as invariant directions under transformation.

Solve systems of linear equations with animated row operations. Shows augmented matrix, pivot selection, and back substitution.

Compute LU, QR, SVD, and Cholesky decompositions with step-by-step explanations and factor matrix visualization.

Graph systems of 2 or 3 linear equations and find intersection points visually. Shows parallel, coincident, and inconsistent cases.

Visualize the span of vectors in 2D and 3D. Explore linear independence, basis, dimension, and column/null spaces.

Fit lines and polynomials to data points using least squares. Visualize residuals, R-squared, and the normal equation.

Watch the Gram-Schmidt orthogonalization process step by step in 2D and 3D with animated projections.

Define transition matrices and simulate Markov chains. Visualize state diagrams, steady-state distributions, and absorption probabilities.

Perform tensor products, contractions, and index manipulations on rank-2 and rank-3 tensors with visual component grids.

Build a web graph and simulate the PageRank algorithm. Visualize iterations, damping factor effects, and rank convergence.

Visualize normal, binomial, Poisson, exponential, chi-squared, and 15+ distributions. Adjust parameters and see PDF/CDF update.

Calculate probabilities, z-scores, and percentiles for normal distributions. Visualize shaded areas under the bell curve.

Sample from any distribution and watch sample means converge to normal. Adjust sample size and see the magic of CLT unfold.

Roll customizable dice sets and visualize outcome distributions. Compare theoretical vs empirical probabilities with bar charts.

Estimate pi, integrals, and probabilities using Monte Carlo simulation. Watch random points accumulate and convergence improve.

Calculate posterior probabilities with Bayes theorem. Visualize prior, likelihood, and posterior with tree diagrams and area plots.

Perform z-tests, t-tests, and chi-squared tests with visual rejection regions, p-values, and power curves.

Construct confidence intervals for means and proportions. Visualize how sample size and confidence level affect interval width.

Simulate 1D and 2D random walks with step visualization. Explore diffusion, return probability, and Brownian motion concepts.

Calculate permutations, combinations, factorials, and multinomial coefficients with visual counting diagrams and Pascal triangle.

Perform one-way and two-way ANOVA with F-test visualization. Shows group means, within/between variance, and post-hoc tests.

Simulate the birthday problem for groups of various sizes. Compare theoretical probability with empirical results across trials.

Play the Monty Hall game and run thousands of simulations. Visualize why switching doors wins 2/3 of the time.

Draw samples from populations and build sampling distributions for means, proportions, and variances with live animation.

Watch the Sieve of Eratosthenes eliminate composites in real time. Explore prime gaps, twin primes, and prime density.

Build animated factor trees for any integer. Shows unique prime factorization, GCD, LCM, and divisor count.

Compute modular addition, multiplication, exponentiation, and inverses. Visualize on clock-face number circles.

Generate Fibonacci numbers with spiral visualization. Explore Lucas numbers, golden ratio convergence, and Zeckendorf representations.

Build graphs with nodes and edges. Run BFS, DFS, Dijkstra, and detect Eulerian/Hamiltonian paths with step-by-step animation.

Build digital circuits with AND, OR, NOT, NAND, NOR, XOR gates. Wire inputs to outputs and generate truth tables automatically.

Simplify Boolean expressions using laws and Karnaugh maps. Visualize with circuit diagrams and generate minimized forms.

Insert, delete, and search in BST, AVL, and red-black trees with animated rotations and traversal order highlighting.

Watch bubble, merge, quick, heap, and radix sort animate step by step. Compare speed and swap counts side by side.

Solve linear recurrence relations with characteristic equations. Visualize sequences and compare closed-form solutions.

Find GCD using the Euclidean algorithm with visual rectangle decomposition. Shows extended GCD and Bezout coefficients.

Interactive Pascal triangle with pattern highlighting: Fibonacci diagonals, powers of 2, Sierpinski coloring, and binomial coefficients.

Plot complex numbers on the Argand plane. Perform arithmetic, convert between rectangular and polar, and visualize operations geometrically.

Visualize complex functions using domain coloring. Explore poles, zeros, branch cuts, and conformal mappings interactively.

Explore the Mandelbrot fractal with unlimited zoom using WebGL. Adjust iterations, color maps, and compute Julia sets for any point.

Generate Koch snowflake, Sierpinski triangle, dragon curve, and custom IFS fractals with adjustable iteration depth and coloring.

Plot nth roots of unity on the unit circle. Explore cyclic group structure, primitive roots, and discrete Fourier transform connections.

Generate and explore Cayley tables for common groups (Z_n, S_n, D_n). Verify group axioms and find subgroups visually.

Play the chaos game with polygons and ratio rules. Watch Sierpinski triangle, fern, and custom attractors emerge from random iterations.

Simulate the Lorenz system in 3D. Adjust sigma, rho, beta parameters and watch butterfly-shaped trajectories evolve.

Run 1D elementary automata (all 256 rules) and 2D Conway Game of Life. Draw patterns, step through, or run continuously.

Render Rossler, Henon, Duffing, and other strange attractors. Adjust parameters and watch phase portraits morph in real time.

Define L-system grammars and generate fractal plants, trees, and curves. Edit axiom, rules, and angle with live rendering.

Launch projectiles with adjustable angle, velocity, and gravity. Trace trajectories, show max height, range, and air resistance effects.

Simulate simple and double pendulums with adjustable length, mass, and damping. Shows phase space plots and chaotic motion.

Simulate spring-mass systems with damping and driving forces. Visualize displacement, velocity, and energy over time. Explore resonance.

Simulate planetary orbits with adjustable mass, velocity, and eccentricity. Visualize Kepler laws, transfer orbits, and escape velocity.

Place point charges and visualize electric field lines, equipotential curves, and field strength with interactive charge dragging.

Build circuits with resistors, batteries, and switches. Calculate current, voltage, and power using Kirchhoff laws with animated electron flow.

Simulate light rays through lenses, mirrors, and prisms. Trace reflections, refractions, and show image formation with thin lens equation.

Simulate 1D and 2D wave equations with pluck, strike, and boundary condition controls. Visualize standing waves and resonant modes.

Draw isothermal, adiabatic, isobaric, and isochoric processes on PV diagrams. Calculate work, heat, and efficiency for cycles.

Draw objects and add force vectors (gravity, normal, tension, friction). Resolve components and check equilibrium conditions.

Simulate elastic and inelastic 1D and 2D collisions. Adjust masses and velocities, track momentum and kinetic energy conservation.

Visualize E and B fields of an EM wave in 3D. Adjust frequency, wavelength, and polarization. Explore the EM spectrum.

Simulate 2D fluid flow around obstacles using lattice Boltzmann. Visualize streamlines, vortices, and Reynolds number effects.

Simulate gravitational interactions between N bodies. Create solar systems, binary stars, and galaxy-scale simulations with trail rendering.

Visualize time dilation, length contraction, and Lorentz transformations. Explore spacetime diagrams and the twin paradox interactively.

Simulate objects on inclined planes with friction. Decompose forces, calculate acceleration, and animate motion up and down slopes.

Explore standing wave harmonics on strings and in pipes. Adjust tension, density, and boundary conditions. Hear frequency audio output.

Visualize wavefronts from moving sources. Adjust source speed and see frequency shift, Mach cones, and sonic booms.

Simulate heat conduction through 1D rods and 2D plates. Set boundary temperatures and watch temperature distribution evolve in real time.

Visualize magnetic fields from wires, loops, and solenoids. Plot field lines and magnitude using Biot-Savart law computations.

Enter a chemical formula and calculate molecular weight, elemental composition percentages, and molar mass with visual pie chart.

Balance chemical equations automatically with step-by-step matrix method. Supports redox half-reactions and combustion.

Calculate reactant and product masses from balanced equations. Identify limiting reagents and theoretical yields with visual ratios.

Calculate pH, pOH, and hydrogen ion concentration. Visualize the pH scale with color indicators and buffer capacity curves.

Simulate PV=nRT with animated gas particles. Adjust pressure, volume, temperature, and moles to see real-time changes.

Build electron configurations by filling orbitals interactively. Shows aufbau principle, orbital diagrams, and quantum numbers.

Calculate molarity, dilution volumes (M1V1=M2V2), and solution preparation. Visual beaker animations show dilution steps.

Draw Lewis dot structures for molecules. Automatically count valence electrons, assign formal charges, and show resonance structures.

Simulate acid-base titrations with real-time pH curve plotting. Identify equivalence points, buffers, and indicator color changes.

Determine oxidation states for atoms in compounds and ions. Identify redox changes and balance half-reactions visually.

Simulate DNA to mRNA transcription and mRNA to protein translation. Visualize codons, amino acids, and the central dogma step by step.

Create mono- and dihybrid Punnett squares. Calculate genotype and phenotype ratios with interactive allele selection.

Model exponential and logistic population growth. Adjust birth rate, death rate, and carrying capacity with animated population curves.

Calculate allele and genotype frequencies under Hardy-Weinberg equilibrium. Test populations for evolutionary forces.

Simulate Michaelis-Menten kinetics with Lineweaver-Burk plots. Explore competitive, uncompetitive, and noncompetitive inhibition.

Simulate Lotka-Volterra predator-prey dynamics. Visualize population cycles, phase portraits, and equilibrium stability.

View constellations and stars for any location and date. Identify stars by magnitude, filter by constellation, and learn mythology.

Animated scale model of the solar system with accurate orbital periods. Show planet positions for any date and track conjunctions.

Calculate and visualize moon phases for any date. Shows illumination percentage, rise/set times, and lunar calendar.

Plot stars on an H-R diagram by luminosity and temperature. Explore stellar classification, main sequence, giants, and white dwarfs.

Calculate true and apparent field of view for telescope-eyepiece combinations. Shows magnification, exit pupil, and limiting magnitude.

Calculate cosmological distances from redshift using Hubble law. Explore lookback time and the expanding universe.

Decode 4, 5, and 6-band resistor color codes. Click color bands to calculate resistance value and tolerance with visual preview.

Calculate voltage, current, resistance, and power from any two known values. Visual circuit diagram updates with computed values.

Simulate charging and discharging of RC and RL circuits. Visualize voltage and current waveforms with time constant analysis.

Build RLC circuits and visualize phasors for voltage and current. Shows impedance, phase angle, and resonance frequency.

Generate Bode magnitude and phase plots from transfer functions. Identify gain margin, phase margin, and stability.

Generate sine, square, triangle, and sawtooth waveforms. Mix signals, apply AM/FM modulation, and view time/frequency domains.

Compute Fast Fourier Transforms of signals. Visualize frequency spectrum, apply windowing functions, and identify dominant frequencies.

Design FIR and IIR filters interactively. Adjust cutoff frequency, order, and type. View magnitude response and pole-zero plots.

Calculate and visualize shear force and bending moment diagrams for loaded beams. Supports point, distributed, and moment loads.

Explore stress-strain curves for different materials. Identify yield point, ultimate strength, and fracture with interactive annotations.

Build 2D trusses with joints and members. Solve for member forces using method of joints with color-coded tension/compression.

Calculate gear ratios for gear trains and planetary systems. Visualize meshing gears with animated rotation at correct speed ratios.

Compute and visualize principal stresses, maximum shear, and stress transformations using interactive Mohr circle construction.

Design cam profiles with follower displacement diagrams. Choose dwell-rise-dwell sequences and generate displacement, velocity, acceleration curves.

Simulate four-bar linkage mechanisms with adjustable link lengths. Trace coupler curves and classify Grashof type.

Define 2-player games with payoff matrices. Find Nash equilibria, dominant strategies, and mixed strategy solutions visually.

Play iterated prisoner dilemma against strategies (tit-for-tat, always defect, random). Tournament mode compares all strategies.

Compare plurality, ranked-choice, Borda count, Condorcet, and approval voting. See how different methods produce different winners.

Solve 2-variable LP problems graphically. Define constraints, plot feasible region, and find optimal vertex with objective function slider.

Simulate English, Dutch, sealed-bid, and Vickrey auctions with multiple bidders. Explore revenue equivalence and winner curse.

Solve fair division problems using cut-and-choose, adjusted winner, and Knaster methods. Visualize allocations and envy-freeness.

Visualize utility functions and indifference curves. Explore marginal utility, budget constraints, and optimal bundles in 2D.

Calculate present value, future value, annuities, and perpetuities with visual timeline diagrams of cash flows.

Calculate bond prices, yield to maturity, duration, and convexity. Visualize price-yield curves and coupon cash flows.

Price European options using Black-Scholes model. Visualize Greeks (delta, gamma, theta, vega) and payoff diagrams.

Generate loan amortization schedules with stacked area charts showing principal vs interest breakdown over the loan lifetime.

Calculate straight-line, declining balance, sum-of-years, and MACRS depreciation. Chart book value over asset life.

Build actuarial life tables from mortality data. Calculate life expectancy, survival probabilities, and force of mortality curves.

Calculate net present value and internal rate of return for investment cash flows. Compare projects on timeline diagrams.

Model retirement savings with Monte Carlo simulations of market returns. Visualize probability of achieving target nest egg.

Encrypt and decrypt with Caesar cipher. Animated rotating alphabet wheels and frequency analysis for cryptanalysis.

Step through RSA key generation, encryption, and decryption with small primes. Shows modular exponentiation and Euler totient.

Simulate the Diffie-Hellman protocol with color-mixing analogy. Shows how shared secrets emerge from public exchanges.

Decode substitution ciphers using frequency analysis. Interactive letter mapping with bigram/trigram hints and English pattern matching.

Visualize how hash functions map inputs to fixed-length outputs. Explore avalanche effect, collision resistance, and birthday attack probability.

Build feedforward neural networks layer by layer. Train on simple datasets and watch weights, activations, and loss converge in real time.

Visualize gradient descent on 2D loss surfaces. Compare SGD, momentum, Adam optimizers. Watch convergence paths and learning rate effects.

Watch K-means clustering step through centroid assignment and update. Adjust K, compare with random initialization, and visualize Voronoi cells.

Train a single perceptron on 2D data. Watch the decision boundary move as weights update with each training sample.

Compare ReLU, sigmoid, tanh, softmax, and other activation functions. See graphs, derivatives, and output ranges side by side.

Build confusion matrices and compute precision, recall, F1-score, accuracy, and ROC curves with interactive threshold adjustment.

Perform Principal Component Analysis on 2D/3D data. Visualize eigenvectors, variance explained, and projected data.

Tune PID controller gains interactively. Visualize step response, overshoot, settling time, and steady-state error in real time.

Generate Nyquist plots from transfer functions. Analyze encirclements of the critical point for stability assessment.

Plot root locus for control systems. Adjust gain and see pole migration. Identify breakaway points and stability boundaries.

Visualize continuous and discrete convolution step by step. Slide the flipped kernel across the signal and see the output build.

Compute Z-transforms and inverses for discrete-time sequences. Plot pole-zero diagrams and regions of convergence.

Interactive number line for integers, fractions, decimals, and irrationals. Plot intervals, inequalities, and absolute values.

Calculate the angle between clock hands at any time. Animated clock face shows acute and reflex angles with degree/radian values.

Color graphs with minimum colors (chromatic number). Build graphs and try to color them or let the algorithm find optimal coloring.

Place cities and watch nearest-neighbor, greedy, and simulated annealing algorithms find short tours. Compare path lengths.

Watch A*, Dijkstra, and BFS find shortest paths on grids. Draw walls, add weights, and compare algorithm exploration patterns.

Shift supply and demand curves and see equilibrium price and quantity adjust. Explore elasticity, surplus, and price controls.

Chain unit conversion factors to solve dimensional analysis problems. Visual factor-label method with cancelation highlighting.

Count significant figures and perform arithmetic with proper sig-fig rules. Color-codes significant vs non-significant digits.

Calculate uncertainty propagation through mathematical operations. Supports addition, multiplication, and arbitrary function formulas.

Plot phase portraits for 2D autonomous systems. Classify equilibria as nodes, spirals, saddles, and centers with trajectory animation.