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eigenvalues and eigenvectors of a matrix

Eigenvalues and Eigenvectors of a Matrix: The Characteristic Determinant Method

19/05/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

In numerical methods, eigenvalues and eigenvectors of a matrix help us understand how a square matrix acts on vectors. This

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power rule derivative

Power Rule: The Basic Formula for Differentiation

18/05/2026 Rostyslav Vereshchak Derivative and Differential

The power rule is one of the main rules of differential calculus. It is used when we need to find

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quotient rule derivative

Quotient Rule: Derivative of a Fractional Function Step by Step

12/05/2026 Rostyslav Vereshchak Derivative and Differential

The quotient rule is one of the basic rules of differential calculus. It is used when a function is written

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gradient descent method

Gradient Descent Method: How to Reduce a Function Value Step by Step

11/05/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

The gradient descent method is one of the basic numerical methods used to find the minimum of a function of

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product rule derivative

Product Rule: Formula, Proof, and Examples

05/05/2026 Rostyslav Vereshchak Derivative and Differential

The product rule is one of the basic rules of differential calculus. It is used when a function is given

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coordinate descent method

Coordinate Descent Method: From Theory to a Practical Example

04/05/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

The coordinate descent method is one of those numerical methods that are convenient to study gradually, step by step. Why

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isosceles triangle

Isosceles Triangle: Types and Useful Properties

03/05/2026 Rostyslav Vereshchak Triangles

An isosceles triangle often appears in geometry problems, drawings, and practical calculations. At first glance, this figure may seem very

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chain rule

Chain Rule: From the Main Formula to Practical Examples

28/04/2026 Rostyslav Vereshchak Derivative and Differential

The chain rule is one of the most important topics in differential calculus because it allows us to find the

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damped newton's method

Damped Newton’s Method: What Is Worth Knowing About This Approach

27/04/2026 Rostyslav Vereshchak Finding Maximum and Minimum Values of a Function

Newton’s method in multidimensional optimization is one of the important second-order methods. However, in practical computations, it is not always

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area of an equilateral triangle

Area of an Equilateral Triangle: Formula and Examples

26/04/2026 Rostyslav Vereshchak Area and Perimeter

An equilateral triangle is a triangle in which all sides are equal and all angles are \( 60^\circ \). The

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Posts pagination

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Numerical Methods

  • Eigenvalues and Eigenvectors
  • Finding Maximum and Minimum Values of a Function
  • Fundamentals of Matrix Algebra
  • Numerical Integration and Differentiation
  • Numerical Methods for Solving Single-Variable Equations
  • Solving Ordinary Differential Equations
  • Solving Systems of Linear Equations

Geometry

  • Area and Perimeter
  • Circle
  • Polygons
  • Solid Geometric Shapes
  • Surface Area and Volume of Geometric Shapes
  • Triangles

Mathematics

  • Derivative and Differential
  • Fractions
  • Function Research
  • Integral Calculus
  • Logarithmic equations
  • Quadratic equations

Python Programming Language

  • Basic Syntax
  • Conditional Statements
  • Introduction to Python
  • Loops

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