## 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