About this exam

This is a 2025 final exam paper for computational-methods at aau (electrical-computer-engineering). This is the final examination for the Computational Methods course (ECEG-2112) at Addis Ababa University, College of Technology and Built Environment. The exam evaluates students' proficiency in numerical analysis techniques applied to engineering problems. **Key Topics Covered:** Interpolation, approximation, and extrapolation; direct vs. iterative methods for linear systems; matrix operations including eigenvalue calculation and norm computation (2-norm, infinity-norm, 1-norm); Gaussian elimination with partial pivoting; linear regression modeling; and Newton's divided difference method for interpolation. **Exam Structure & Format:** The exam consists of 6 multi-part analytical problems requiring both theoretical explanations and computational derivations, including the application of Cholesky decomposition for solving linear systems.