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Dynamics and Computation - Period 4+5
OVERVIEW
CEA CAPA Partner Institution: Vrije Universiteit Amsterdam
Location: Amsterdam, Netherlands
Primary Subject Area: Mathematics
Instruction in: English
Course Code: X_400647
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 3
Contact Hours: 84
DESCRIPTION
In this course you will be given an overview of the theory of discrete and continuous dynamical systems (first period), as well as a foundation in the most commonly applied numerical algorithms used to solve algebraic and dynamic problems (second period) found in concrete applications.
Dynamical Systems part:
1. Discrete-time dynamical systems: graphical methods to draw orbits, calculating fixed points, stability analysis, period doubling.
2. Ordinary Differential Equations in 1 and 2 dimensions: graphical methods, linearisation, phase plane analysis, classification of steady states.
3. General theory of linear ODEs, solving initial value problems.
Numerical part
1. Introduction in Matlab programming
2. Finding roots of systems of nonlinear equations
3. Interpolation, Least Squares
4. Fast Fourier Transforms, analysing signals
5. Computing eigenvalues and eigenvectors, Pagerank
6. Numerical derivatives and integrals of functions.
7. Numerical methods for ODEs
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
Dynamical Systems part:
1. Discrete-time dynamical systems: graphical methods to draw orbits, calculating fixed points, stability analysis, period doubling.
2. Ordinary Differential Equations in 1 and 2 dimensions: graphical methods, linearisation, phase plane analysis, classification of steady states.
3. General theory of linear ODEs, solving initial value problems.
Numerical part
1. Introduction in Matlab programming
2. Finding roots of systems of nonlinear equations
3. Interpolation, Least Squares
4. Fast Fourier Transforms, analysing signals
5. Computing eigenvalues and eigenvectors, Pagerank
6. Numerical derivatives and integrals of functions.
7. Numerical methods for ODEs
Contact hours listed under a course description may vary due to the combination of lecture-based and independent work required for each course therefore, CEA's recommended credits are based on the ECTS credits assigned by VU Amsterdam. 1 ECTS equals 28 contact hours assigned by VU Amsterdam.
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