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Computational Methods Worksheet 1

Subject: computational-methods
Year: 2024
University: aau
Price: Free
Downloads: 0
Exam type: practice_set

This is a practice worksheet for the Computational Methods course (ECEG-2112), designed to prepare students for the first midterm examination. It covers fundamental concepts in numerical analysis and computer arithmetic. Key Topics Covered: Floating-point representation, relative and absolute error analysis, round-off error, Taylor series expansions, numerical stability, root-finding algorithms (Bisection, Newton's method, Secant method), and fixed-point iteration. Exam Structure & Format: The worksheet consists of 15 analytical and computational problems, including theoretical derivations, error estimation, and a practical programming task requiring the implementation of root-finding algorithms in MATLAB.

About this exam

This is a 2024 practice_set exam paper for computational-methods at aau (electrical-computer-engineering), year 2, semester 1. This is a practice worksheet for the Computational Methods course (ECEG-2112), designed to prepare students for the first midterm examination. It covers fundamental concepts in numerical analysis and computer arithmetic. **Key Topics Covered:** Floating-point representation, relative and absolute error analysis, round-off error, Taylor series expansions, numerical stability, root-finding algorithms (Bisection, Newton's method, Secant method), and fixed-point iteration. **Exam Structure & Format:** The worksheet consists of 15 analytical and computational problems, including theoretical derivations, error estimation, and a practical programming task requiring the implementation of root-finding algorithms in MATLAB.