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Lecture
Weight of Quadrature Formula
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Numerical Differentiation and Integration
Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.
Numerical integration: continued
Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.
Interpolation: Overview
Covers polynomial interpolation, equidistant points, and Lagrange basis in interpolation techniques.
Numerical Analysis: Introduction to Interpolation Techniques
Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.
Finite Element Method: Interpolation and Integration
Covers the formulation of isoparametric elements and integration techniques in the finite element method, with a focus on Gauss integration.
Curve Fitting: Polynomial Interpolation
Explores curve fitting via polynomial interpolation, stability, errors, and node distribution impact.
Nonlinear Equations and Polynomial Interpolation
Introduces nonlinear equations and polynomial interpolation for curve fitting.
Systems of Non-linear Equations, Polynomial Interpolation
Explores systems of non-linear equations and polynomial interpolation, including the Newton method and Vandermonde matrix construction.