Key words
Applied mathematics
Objectives
Show how computers do arithmetic and how this computer arithmetic affects the design and choice of algorithms.
Prerequisites
Have a basic knowledge of calculus and linear algebra.
Topics
- Introduction
What is numerical analysis and what are numerical methods
About errors and there propagation - Linear systems
Method of Gauss and Doolittle
Calculating determinants and inverse matrices
The Jacobi and Gauss-Seidel iterative method
Error analysis - Non-linear equation
Iterative methods for one equation: bisection method, the method of false position (regalia falls), Newton's method, function iteration method
Some methods for systemsof non-linear equations - Interpolation
The LaGrange interpolation polynomial
Finite differences
The Newtoninterpolation polynomials
Cubic spleen interpolation - Quadrate
Rectangular formula
The method of indeterminate coefficients
Newton-Côtes formulas
Trapezoidal formula and Simpson formula
Romberg's formula - Curve-fitting
Least squares approximation: linear fit, polynomialfit, fit of exponential and power functions
Teaching Methods
Lectures, exercises.
Materials used
Study guidance
Assessment
Written examination (exercises).
Study costs
Lecturer(s)
Language
Dutch
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