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The study of Dynamical Systems explores how systems
evolve over time, focusing on the long-term behavior of these systems
under different conditions. It provides the mathematical framework to
analyze how a system's state changes as a function of time, which can
model a wide range of real-world phenomena, from physical and biological
processes to economics and engineering applications. The course is
delivered mainly through lectures backed up by tutorial sessions. The
lecture includes interactive elements whereby students in groups apply
principles to simple problems to ensure their involvement and so gain
understanding. Handouts are used so that students can concentrate on
the material of the lecture, but with gaps where students either have to
fill in or make separate notes. Problem sheets will be given out to
students and after time, the problems will be discussed in class. The
assignment will require the students to undertake some investigation on
their own and to develop ideas and apply them. They will also produce a
report for each.