Mathematics
How to use?
Mathematical analysis tools: explore functions, series, matrices, and more with integrated symbolic and numerical computation.
Who is it for?
Students of mathematics, engineering, and sciences who need to analyze, verify, or visualize results with more depth than a conventional calculator.
How to use them?
Enter the expression or problem data and the tool solves, plots, and explains. Each one includes a Fundamentals section with the theory and method applied.
Scope
Covers function analysis, linear algebra, series, and sequences. Continuously expanding with new tools.
12 calculators · 7 widgets
Function AnalyzerSolve equations and analyze single-variable functions: roots, derivative, integral, critical points and interactive plot
Taylor SeriesApproximate f(x) with the order-N Taylor polynomial, compute radius of convergence, Lagrange error bound, and visualize the approximation error
Sequences and RecurrencesExplore linear recurrences, modular Fibonacci, and the logistic map with stability, periodicity, and chaos visualizations
Symbolic Matrix AnalyzerCompute characteristic polynomials, spectra, and exact diagonalization for matrices up to 4×4
Complex Arithmetic & PhasorsCalculate complex number operations (addition, subtraction, multiplication, division), convert between rectangular, polar and exponential forms, and compute nth roots via De Moivre's Theorem
Analytical TrigonometrySolve oblique triangles (SSS, SAS, ASA, AAS, SSA) and right triangles with the law of sines, cosines, derived metrics (area, inradius, circumradius, altitudes, medians) and interactive SVG visualization
Unit Circle & Trigonometric FunctionsEvaluate the 6 trigonometric ratios on the unit circle with interactive geometric segments, exact values at notable angles, quadrant, reference and coterminal angles; graph the general sinusoid A·sin(B(x−C))+D with period, frequency, phase shift, zeros and asymptotes
Linear Regression (2D)Fit your (x, y) dataset by least squares with 4 linearisable models (linear, exponential, logarithmic, power). Reports R², RMSE and the LaTeX equation alongside a scatter + fitted curve plot
Probability DistributionsComputes probabilities, percentiles and moments for Normal, Binomial, Poisson, Exponential, Gamma, Beta, Student's t, Chi-square and F distributions. Features interactive density and cumulative plots, and critical-value lookup
Descriptive StatisticsSummarizes a column of data: mean, median, mode, standard deviation (sample and population), variance, CV, SEM, MAD, quartiles, IQR, skewness and kurtosis. Visualizes with a box-plot and histogram (Sturges/Freedman-Diaconis/Scott) and flags outliers via 1.5·IQR
Statistical InferenceHypothesis tests and confidence intervals: one- and two-sample t (Welch and pooled), paired t, z, proportions (1 and 2 samples), one-way ANOVA, χ² goodness of fit and independence (r×c table), variances (χ² and F) and p-value from a statistic. Returns the test statistic, degrees of freedom, p-value, critical value, CI, effect size and a decision vs α, with the rejection region charted
Extended Euclidean Algorithm: GCD, Bézout & CongruencesComputes GCD and LCM with the Euclidean division table, reconstructs the Bézout identity via back-substitution and solves linear Diophantine equations ax + by = c, congruences ax ≡ b (mod n) and modular inverses, with every solution class and exact verification over integers of up to 40 digits