About this exam

This is a 2016 final exam paper for computational-methods at aau (electrical-computer-engineering). This is a final examination for the Computational Methods course (ECEG-2112) at Addis Ababa Institute of Technology (AAiT), administered in June 2016. The exam evaluates students' understanding of numerical analysis techniques and their application in engineering problems. **Key Topics Covered:** Floating point arithmetic, round-off errors, Jacobi relaxation vs. Gauss-Seidel methods, vector and matrix norms, and fixed-point iteration methods for root finding. **Exam Structure & Format:** The exam is divided into two parts: Part I consists of short answer conceptual questions regarding numerical stability and iterative schemes. Part II consists of analytical workout problems requiring calculations of floating-point representations, reformulation of unstable expressions, matrix norm computations, and performing fixed-point iterations.