Lectures in course MATH-250: Advanced numerical analysis I

Covers interpolation of functions, multilayer perceptron, hidden layers, and Lagrange polynomials.

Covers the topic of approximating functions using polynomials through interpolation, emphasizing the importance of optimal point selection.

Covers the analysis of analytic functions and the Runge phenomenon in function approximation.

Covers the optimization of error in polynomial interpolation, focusing on minimizing the error by strategically placing interpolation points.

Covers the Lagrange polynomial interpolation method and error analysis in function approximation.

Explores matrix inversion, pivoting, and iterative methods for solving linear systems of equations.