Mathematics toolkit
Mathematics calculators
Build understanding across algebra, geometry, calculus, linear algebra, probability, and statistics with transparent methods and explained results.
25 calculators · 7 domains
Choose a field of mathematics
Each calculator shows its formulas, assumptions, validation, worked examples, and reviewed sources—not only the final number.
4 calculators
Algebra
Polynomials, progressions, powers, radicals, logarithms, and number systems.
Arithmetic & geometric progressions
Find a selected term and the finite partial sum of an arithmetic or geometric progression, with the recurrence pattern and substitution explained.
Use calculator 01MathematicsPolynomial evaluation & Horner
Evaluate a polynomial with Horner’s method, divide it synthetically by x − c, and verify the remainder theorem in one connected calculation.
Use calculator 02MathematicsNumber base converter
Convert signed whole numbers between bases 2 and 36, validate every digit, and inspect the base-10 value used as the conversion bridge.
Use calculator 03MathematicsPowers, radicals & logarithms
Evaluate real powers, indexed radicals, and logarithms while checking domains and explaining their inverse relationships.
Use calculator 043 calculators
Equations & Systems
Solve equations and linear systems while following classification and verification steps.
Quadratic & cubic equations
Solve second- and third-degree polynomial equations, classify real and complex roots, inspect the discriminant, and verify the equation structure.
Use calculator 01MathematicsLinear systems 2×2 & 3×3
Solve two- or three-variable linear systems with Gaussian elimination and classify each system as unique, inconsistent, or dependent.
Use calculator 02MathematicsAbsolute-value relations
Solve equations and inequalities of the form |ax+b| ◇ c by interpreting absolute value as distance on the real line.
Use calculator 034 calculators
Geometry
Triangles, circles, coordinate geometry, areas, volumes, and geometric relationships.
General triangle solver
Solve a triangle from SSS, SAS, ASA/AAS, or SSA data, including both valid solutions in the ambiguous SSA case.
Use calculator 01MathematicsCircles, arcs & sectors
Connect radius, circumference, area, central angle, arc length, sector area, chord length, and sagitta in one explained circle model.
Use calculator 02MathematicsGeometric solids
Calculate volume, lateral or curved area, and total surface area for prisms, cylinders, pyramids, cones, and spheres.
Use calculator 03MathematicsAnalytic geometry in the plane
Analyze three Cartesian points using vectors, distance, midpoint, slope, a standard-form line equation, triangle area, and a collinearity test.
Use calculator 041 calculator
Trigonometry
Triangles, angle relationships, identities, exact values, degrees, and radians.
6 calculators
Calculus
Derivatives, definite integrals, limits, approximations, and function behavior.
Numerical limits
Inspect left- and right-hand numerical behavior for representative indeterminate limits using progressively smaller distances from the approach point.
Use calculator 01MathematicsPolynomial function study
Study quadratic and cubic polynomials through real zeros, derivatives, critical points, monotonic intervals, intercepts, and end behavior.
Use calculator 02MathematicsTaylor polynomial
Build Maclaurin approximations for exponential, sine, cosine, and ln(1+x), then compare the polynomial value with the reference function.
Use calculator 03MathematicsSeparable differential equations
Solve selected first-order separable initial-value problems and evaluate the analytical solution at a target x.
Use calculator 04MathematicsPolynomial derivative
Differentiate polynomials up to degree five symbolically and see how the power rule transforms every term and removes the constant term.
Use calculator 05MathematicsDefinite numerical integration
Approximate a polynomial’s definite integral with composite trapezoidal or Simpson’s rule and compare it with the exact polynomial antiderivative.
Use calculator 062 calculators
Vectors & Matrices
Vector operations, matrix arithmetic, determinants, inverses, and linear transformations.
2D & 3D vectors
Calculate vector sums, differences, magnitudes, dot and cross products, angles, projections, and parallelism in two or three dimensions.
Use calculator 01MathematicsMatrix operations
Calculate determinants, inverses, and matrix products for 2×2 and 3×3 matrices with dimension checks and a concise explanation of each operation.
Use calculator 025 calculators
Probability & Statistics
Counting methods, descriptive statistics, probability models, distributions, and regression.
Classical & conditional probability
Calculate classical probability, event unions, complements, conditional probability, and test independence from compatible event data.
Use calculator 01MathematicsBinomial & normal distributions
Calculate binomial point and cumulative probabilities or normal interval probabilities with distribution parameters and standardized bounds.
Use calculator 02MathematicsLinear regression & correlation
Fit a least-squares line to paired observations, calculate Pearson correlation and R², inspect residual error, and make a prediction.
Use calculator 03MathematicsDescriptive statistics
Summarize a dataset with count, mean, median, mode, range, population or sample variance, and standard deviation using explained definitions.
Use calculator 04MathematicsPermutations & combinations
Count permutations, arrangements, and combinations with or without repetition while making the roles of order, selection size, and constraints explicit.
Use calculator 05General workspaces
Calculate or create notation
Evaluate free-form expressions or build publication-ready mathematical notation alongside the focused calculators.