Last modified: 25 May 2018 11:16
This course covers the fundamental mathematical concepts required for the description of dynamical systems, i.e., systems that change in time. It discusses nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems in physics, engineering, biology etc. Emphasis will be on the study of phase spaces.
Next to the theory of relativity and quantum mechanics, chaos and dynamical systems theory is been considered as one of three major advances in the natural sciences. This course offers the mathematics behind this paradigm changing theory.
Study Type  Undergraduate  Level  4 

Session  First Sub Session  Credit Points  15 credits (7.5 ECTS credits) 
Campus  None.  Sustained Study  No 
Coordinators 

This course covers the fundamental mathematical concepts required for the description of dynamical systems, ie., systems that change in time. It discusses ordinary differential equations and nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems in physics, engineering, biology etc. Some emphasis will be on the study of chaotic systems and strange, ie., fractal attractors.
Next to the theory of relativity and quantum mechanics, chaos and dynamical systems theory is considered as one of three major advances in the natural sciences. This course covers the mathematics behind this paradigm changing theory.
Syllabus
This course covers the fundamental mathematical concepts required for the description of dynamical systems, i.e., systems that change in time. It discusses nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems in physics, engineering, biology etc. Emphasis will be on the study of phase spaces.
Next to the theory of relativity and quantum mechanics, chaos and dynamical systems theory is been considered as one of three major advances in the natural sciences. This course offers the mathematics behind this paradigm changing theory.
This is the total time spent in lectures, tutorials and other class teaching.
1st Attempt: 1 2hour written examination (70%); 1hour midterm exam (30%).
Written Exam (100%). Only the marks obtained at the first attempt can count towards Honours classification.
By weekly tutorials and dialogue with lecturer.
Within two weeks of a midterm exam.
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