Solving equations
- Solving linear and non-linear equations
- Solving inequalities
- Solving systems of equations
- Solving differential equations
- Solving systems of differential equations
- Solutions of linear recurrent sequences
- Solving modular equations
Univariate statistical characteristics
- Central tendency
- Dispersion
- Shapes
Bivariate statistical characteristics
- Chi-square of contingency
- Covariance
- Stchuprow's T and Cramer's Phi square
- Linear correlation coefficient
- Regression line
Computation and simulation of probability laws
- Discrete probability distributions
- Continuous probability distributions
- Probability distributions approximations
Graphs of functions
- One variable functions
- Two variables functions
- Parametric functions
- Implicit functions
Statistical diagrams
- Bar charts
- Pie charts
- Histograms
- Graph of functions
- Box plots
- Distplot and violinplot
Operations on numbers and functions
- Operations on integers, rationals and real numbers
- Operations on complex numbers
- Operations on trigonometric functions
- Operations on functions: limits, derivative, critical points, Taylor expansion, etc.
- Operations on sequences
Operations on vectors and matrices
- Matrices
- Methods for factoring matrices
- Computation of eigenvalues, eigenvectors, characteristic polynomial, etc.
- Reduction of matrices: diagonalization and Jordan reduction
Operations on codes
- Operations on linear codes
- Operations on Hamming codes
- Operations on cyclic codes
Operations on elliptic curves
- Operations on short and long Weierstrass form
- Operations on Montgomery form
- Simulation of the group law
