About this exam

This is a 2023 final exam paper for computational-methods at aau (freshman). This is a final examination for a Computational Methods course, focusing on numerical analysis techniques for solving systems of linear equations and data approximation. Key Topics Covered: Gaussian elimination with pivoting strategies, iterative methods for linear systems (Jacobi and Gauss-Seidel), Cholesky decomposition, data fitting using least squares (quadratic regression), and polynomial interpolation (linear and Newton's divided difference). Exam Structure & Format: The exam consists of theoretical conceptual questions followed by analytical workout problems requiring numerical calculations with a specified precision of 4 significant digits.