**PROBLEMs**

**Fundamental mathematics**

Problems on Mathematica system

Test 6

Test 21

Test 31

Test 35

**Calculus**

Example and Problems in Differentiation

Example and Problems in Integration

**Difference and differential equations**

prob

**Geometry**

Polar coordinates from Cartesian coordinates

Cartesian coordinates from polar coordinates

Cylindrical coordinates from Cartesian coordinates

Cartesian coordinates from cylindrical coordinates

Spherical coordinates from Cartesian coordinates

Cartesian coordinates from spherical coordinates

Homegeneous coordinates from Cartesian coordinates

Cartesian coordinates from homogeneous coordinates

**Multivariable calculus**

Problems in multivariable functions 1

Problems in multivariable functions 2

Problems in Differentiation

Problems in Multiple Integrals 1

Problems in Multiple Integrals 2

Problems in Multiple Integrals 3

Extrema problems 1

Extrema problems 2

Extrema problems, applications

Problems in Vector Fields

Problems in Multivariable Analysis

Problems in Integral on Surfaces

Problems in Limit and Continuity

**Numerical analysis**

Problems on numerical solving of tri-diagonal matrices

Problems on spline interpolation

Problems on least squares method

Problems on numerical methods for eigenvalues and eigenvectors of matrices

Problems for exercise - Gauss's method for systems of linear equations

Problems for exercise - Gauss-Jordan method for systems of linear algebraic equations

Problems on iterative methods for solving systems of linear algebraic equations

Problems for exercise - numerical methods for matrix inversion

Problems on solving equations with one unknown variable

Problems on numerical integration

Problems on interpolation

Problems on numerical differentiation

Problems on the square root method for systems of linear algebraic equations

Tasks for individual work on the subject of Variational methods for solving boundary problems for ordinary differential equations (ODE) of the second order

**Optimisation**

Models and examples in linear optimization - example 1

Models and examples in linear optimization - example 2

Models and examples in mathematical optimization Transportation model - example 3

Models and examples in mathematical optimization Transportation model - example 4

Problems on dynamic optimisation

**Probability and statistics**

prob

**History of mathematics**

Deep geometrical results
from unpublished masnuscripts of Bolyai