Interpolation: Lagrange polynomial and error analysis

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Numerical Integration: Lagrange Interpolation Methods

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

Vandermonde Matrix: Polynomial Interpolation

Explains how to find the polynomial of interpolation using the Vandermonde matrix.

Polynomial Interpolation: Error and Definition

Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.

Piecewise Linear Interpolation

Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.

Taylor Polynomials: Approximating Functions in Multiple Variables

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Numerical Analysis: Jupyter Notebook Tutorial

Covers course organization, Jupyter Notebook for Python experimentation, algorithms, interpolation, solving equations, linear systems, and practical applications.

Signal Reconstruction: Sampling Theorem 2

Explores signal reconstruction techniques, including polynomial interpolation challenges and the importance of interpolation functions.

Fundamental Solutions

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Systems of Non-linear Equations, Polynomial Interpolation

Explores systems of non-linear equations and polynomial interpolation, including the Newton method and Vandermonde matrix construction.