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General workspaceScientific calculatorFunctions, constants, trigonometry, memory, and calculation history.Math workspace · Export readyLaTeX formula editorBuild, preview, copy, and export mathematical notation as PNG or SVG.Mathematics · Equations & SystemsQuadratic & cubic equationsSolve second- and third-degree polynomial equations, classify real and complex roots, inspect the discriminant, and verify the equation structure.Mathematics · Equations & SystemsLinear systems 2×2 & 3×3Solve two- or three-variable linear systems with Gaussian elimination and classify each system as unique, inconsistent, or dependent.Mathematics · GeometryGeneral triangle solverSolve a triangle from SSS, SAS, ASA/AAS, or SSA data, including both valid solutions in the ambiguous SSA case.Mathematics · GeometryCircles, arcs & sectorsConnect radius, circumference, area, central angle, arc length, sector area, chord length, and sagitta in one explained circle model.Mathematics · GeometryGeometric solidsCalculate volume, lateral or curved area, and total surface area for prisms, cylinders, pyramids, cones, and spheres.Mathematics · TrigonometryExact trigonometric valuesFind sine, cosine, and tangent for angles from 0° to 360°, including exact radical forms for common unit-circle angles.Mathematics · Vectors & Matrices2D & 3D vectorsCalculate vector sums, differences, magnitudes, dot and cross products, angles, projections, and parallelism in two or three dimensions.Mathematics · Probability & StatisticsClassical & conditional probabilityCalculate classical probability, event unions, complements, conditional probability, and test independence from compatible event data.Mathematics · CalculusNumerical limitsInspect left- and right-hand numerical behavior for representative indeterminate limits using progressively smaller distances from the approach point.Mathematics · CalculusPolynomial function studyStudy quadratic and cubic polynomials through real zeros, derivatives, critical points, monotonic intervals, intercepts, and end behavior.Mathematics · CalculusTaylor polynomialBuild Maclaurin approximations for exponential, sine, cosine, and ln(1+x), then compare the polynomial value with the reference function.Mathematics · CalculusSeparable differential equationsSolve selected first-order separable initial-value problems and evaluate the analytical solution at a target x.Mathematics · Probability & StatisticsBinomial & normal distributionsCalculate binomial point and cumulative probabilities or normal interval probabilities with distribution parameters and standardized bounds.Mathematics · Probability & StatisticsLinear regression & correlationFit a least-squares line to paired observations, calculate Pearson correlation and R², inspect residual error, and make a prediction.Mathematics · Probability & StatisticsDescriptive statisticsSummarize a dataset with count, mean, median, mode, range, population or sample variance, and standard deviation using explained definitions.Mathematics · Probability & StatisticsPermutations & combinationsCount permutations, arrangements, and combinations with or without repetition while making the roles of order, selection size, and constraints explicit.Mathematics · Vectors & MatricesMatrix operationsCalculate determinants, inverses, and matrix products for 2×2 and 3×3 matrices with dimension checks and a concise explanation of each operation.Mathematics · CalculusPolynomial derivativeDifferentiate polynomials up to degree five symbolically and see how the power rule transforms every term and removes the constant term.Mathematics · CalculusDefinite numerical integrationApproximate a polynomial’s definite integral with composite trapezoidal or Simpson’s rule and compare it with the exact polynomial antiderivative.Mathematics · AlgebraArithmetic & geometric progressionsFind a selected term and the finite partial sum of an arithmetic or geometric progression, with the recurrence pattern and substitution explained.Mathematics · AlgebraPolynomial evaluation & HornerEvaluate a polynomial with Horner’s method, divide it synthetically by x − c, and verify the remainder theorem in one connected calculation.Mathematics · AlgebraNumber base converterConvert signed whole numbers between bases 2 and 36, validate every digit, and inspect the base-10 value used as the conversion bridge.Mathematics · AlgebraPowers, radicals & logarithmsEvaluate real powers, indexed radicals, and logarithms while checking domains and explaining their inverse relationships.Mathematics · Equations & SystemsAbsolute-value relationsSolve equations and inequalities of the form |ax+b| ◇ c by interpreting absolute value as distance on the real line.Mathematics · GeometryAnalytic geometry in the planeAnalyze three Cartesian points using vectors, distance, midpoint, slope, a standard-form line equation, triangle area, and a collinearity test.Chemistry · Chemical Quantities & StoichiometryEmpirical & molecular formulaDerive an empirical formula from elemental masses or percentages, then use measured molar mass to test the corresponding molecular formula.Chemistry · Solutions & Concentrationppm, ppb & molarityConvert between molarity, mmol/L, mg/L, µg/L, ppm, ppb, and mass percent using explicit solute molar mass and solution density.Chemistry · Gases & ThermochemistryReaction enthalpy & HessCalculate reaction enthalpy from standard formation enthalpies or combine reversed and scaled thermochemical equations with Hess’s law.Chemistry · Acids, Bases & EquilibriumAcid–base titrationSolve titration concentration and equivalence-volume problems with configurable stoichiometry, then estimate pH for strong acid–strong base titrations.Chemistry · Reaction KineticsReaction kineticsCalculate reaction rate or a rate constant from a two-reactant rate law, and solve zero-, first-, or second-order integrated kinetics problems.Chemistry · Acids, Bases & EquilibriumSolubility & KspConvert between molar solubility and Ksp for a binary ionic solid, including stoichiometric ion powers and optional common-ion concentrations.Chemistry · Acids, Bases & EquilibriumEquilibrium constants Kc & KpBuild a concentration equilibrium expression, calculate Kc, or convert between Kc and Kp using temperature and the change in gaseous moles.Chemistry · Chemical Quantities & StoichiometryOxidation numbersFind one element’s oxidation number from a formula, total charge, and known states of the other elements, then verify the charge balance.Chemistry · Solutions & ConcentrationConcentration converterConvert molarity, normality, mass percentage, and mass concentration using molar mass, solution density, and a defined equivalence factor.Chemistry · Chemical Quantities & StoichiometryReaction stoichiometryFind the limiting reagent, reactant leftovers, theoretical product yield, and optional percent yield from a balanced reaction.Physics · MechanicsMomentum & impulseCalculate signed one-dimensional momentum, impulse, momentum change, and average net force over a time interval.Physics · Electricity & MagnetismIdeal transformerUse the turns ratio to calculate secondary voltage and current, compare primary and secondary power, and classify an ideal transformer.Physics · MechanicsHydrostatic pressure & PascalCalculate gauge pressure at depth in a fluid or model force multiplication in an ideal hydraulic system.Physics · Waves, Optics & Quantum PhysicsDoppler effectCalculate the observed frequency when a sound source, observer, or both move along their line of sight through a stationary medium.Physics · Waves, Optics & Quantum PhysicsLenses & mirrorsSolve focal length, object distance, or image distance, then calculate magnification and classify the image.Physics · Electricity & MagnetismElectric field & potentialCalculate electric-field magnitude and electric potential around an isolated point charge, or solve for source charge and distance.Physics · Electricity & MagnetismCoulomb’s lawCalculate electrostatic force, either charge magnitude, or separation distance and identify whether two point charges attract or repel.Physics · Electricity & MagnetismFaraday inductionCalculate induced emf, magnetic-flux change, coil turns, or time interval and interpret the direction with Lenz’s law.Physics · MechanicsUniform circular motionConnect radius, tangential and angular speed, period, frequency, centripetal acceleration, and optional centripetal force for uniform circular motion.Physics · MechanicsSimple pendulumCalculate a simple pendulum’s period, frequency, length, or local gravitational acceleration using the small-angle approximation.Physics · MechanicsMechanical work & powerCalculate mechanical work from force, displacement, and their relative angle, then find average power over a selected time interval.Physics · MechanicsKinetic & potential energyCalculate kinetic energy, gravitational potential energy, and their mechanical total from mass, speed, height, and local gravitational acceleration.Physics · MechanicsForce, mass & accelerationSolve Newton’s second law for net force, mass, or acceleration with selectable SI units, signed directions, and the rearranged equation shown.Physics · Electricity & MagnetismEquivalent resistanceFind total resistance for series or parallel resistor networks, with the working shown and units kept explicit.Chemistry · Solutions & ConcentrationMolarity & dilutionCalculate solution molarity or the final volume required for a dilution using transparent, classroom-ready formulas.Physics · Measurements & UnitsUnit converterConvert common energy, mass, pressure, length, and temperature units with scientific precision.Physics · Waves, Optics & Quantum PhysicsWave & photon energyConnect vacuum wavelength, frequency, photon energy, and propagation in common optical media.Chemistry · Gases & ThermochemistryIdeal gas lawSolve pressure, volume, amount, or absolute temperature with selectable units that are converted internally to SI.Physics · Electricity & MagnetismOhm’s law & powerEnter any two electrical values to calculate voltage, current, resistance, and power with unit-aware working.Physics · MechanicsKinematicsSolve displacement, velocity, acceleration, or time from a compatible set of constant-acceleration measurements.Chemistry · Chemical Quantities & StoichiometryMolar massParse a chemical formula to calculate molar mass, atom counts, and each element’s mass percentage.Chemistry · Acids, Bases & EquilibriumpH & pOHConvert among pH, pOH, hydrogen-ion concentration, and hydroxide-ion concentration at 25 °C.Physics · ThermodynamicsHeat energy & calorimetrySolve heat transfer, mass, specific heat, or temperature change using Q = mcΔT.Chemistry · Chemical Quantities & StoichiometryMoles, mass & particlesConvert among sample mass, amount in moles, and number of particles using molar mass and Avogadro’s constant.Physics · MechanicsProjectile motionCalculate initial velocity components, flight time, horizontal range, maximum height, and the ideal trajectory from ground level.Physics · ThermodynamicsPhase change & latent heatSolve heat, mass, or specific latent heat for melting, freezing, boiling, and condensation.Physics · Waves, Optics & Quantum PhysicsSnell’s law & refractionFind the refracted angle from two refractive indices and detect total internal reflection.Physics · Measurements & UnitsDensity, mass & volumeSolve ρ = m/V with explicit, internally consistent mass and volume units.Chemistry · Solutions & ConcentrationSolution mass percentCalculate solute mass percentage from solute mass and total solution mass.Chemistry · Acids, Bases & EquilibriumBuffer pHApply the Henderson–Hasselbalch equation to a weak-acid/conjugate-base buffer.Chemistry · Gases & ThermochemistryCombined gas lawCalculate a final gas volume when pressure and absolute temperature change at constant amount of gas.Physics · Electricity & MagnetismAC circuit impedanceExplore series and parallel RL, RC, and RLC circuits using adjustable frequency, resistance, inductance, and capacitance.