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Author: Rostyslav Vereshchak

newton's forward interpolation formula

Newton’s Forward Interpolation Formula: Polynomial Construction and Examples

10/08/2026 Rostyslav Vereshchak Function Approximation Methods

Newton’s forward interpolation formula makes it possible to approximate function values from tabulated data at equally spaced points. In this

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integration by parts formula

Integration by Parts: Formula and Step-by-Step Examples

04/08/2026 Rostyslav Vereshchak Integral Calculus

Integration by parts is one of the main methods used to evaluate indefinite integrals. It is used when the integrand

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eigenvalues of a matrix using the deflation method

Eigenvalues of a Matrix: Sequential Computation Using the Deflation Method

03/08/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

When studying eigenvalues of a matrix, we often compute them one by one, starting with the eigenvalue that has the

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integration by substitution

Integration by Substitution: How the Method Works

28/07/2026 Rostyslav Vereshchak Integral Calculus

Sometimes an integrand seems too complicated to integrate directly. However, after introducing a new variable, its structure can become much

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eigenvalues of a symmetric tridiagonal matrix

Eigenvalues of a Symmetric Tridiagonal Matrix: Bisection Method

27/07/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

The eigenvalues of a symmetric tridiagonal matrix can be found without expanding the characteristic determinant or directly solving a high-degree

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table of integrals

Table of Integrals: Basic Integration Formulas

21/07/2026 Rostyslav Vereshchak Integral Calculus

A table of integrals is a convenient collection of ready-to-use formulas that helps you quickly find antiderivatives of common functions.

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dominant eigenvalue of a matrix

Dominant Eigenvalue of a Matrix: Power Method

20/07/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

The power method is one of the simplest iterative methods for approximating the dominant eigenvalue of a matrix and its

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indefinite integral

Indefinite Integral: Formula, Properties, and Examples

14/07/2026 Rostyslav Vereshchak Integral Calculus

The indefinite integral is one of the fundamental topics in calculus. It is closely related to the derivative, but it

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eigenvalues of a symmetric matrix

Eigenvalues of a Symmetric Matrix: How to Find Them Using the Rotation Method

13/07/2026 Rostyslav Vereshchak Eigenvalues and Eigenvectors

When studying the eigenvalues of a symmetric matrix, the rotation method is useful because it allows us to find them

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equation of a tangent line and equation of a normal line to a curve

Equation of a Tangent Line and Equation of a Normal Line to a Curve: Formulas and Examples

07/07/2026 Rostyslav Vereshchak Derivative and Differential

The equation of a tangent line and the equation of a normal line to a curve help us understand how

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Posts pagination

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Numerical Methods

  • Eigenvalues and Eigenvectors
  • Finding Maximum and Minimum Values of a Function
  • Function Approximation Methods
  • 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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