Polynomials: Legendre and Gauss

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Explores the composite quadrature formula, digital integration, and numerical integration techniques using interpolating polynomials.

Numerical Integration

Explores numerical methods for approximating integrals and discusses various integration formulas' accuracy and order of approximation.

Finite Element Method: Key Concepts

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

Lagrange Interpolation: Polynomial Construction and Definite Integral Introduction

Explores Lagrange interpolation for polynomial construction and introduces the definite integral.

Lagrange Interpolation: Numerical Integration Techniques

Covers Lagrange interpolation and its application in numerical integration techniques, focusing on both non-composite and composite methods of quadrature.

Numerical Integration: Lagrange Interpolation Methods

Covers numerical integration techniques, focusing on Lagrange interpolation and various quadrature methods for approximating integrals.

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Linear Algebra: Abstract Concepts

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Numerical Differentiation and Integration

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.