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This book highlights the practical aspects of computer modelling
and simulation of complex dynamical systems for students.
Mechanical systems are considered in the book as representative
examples of dynamical systems. Wolfram SystemModeler, in
combination with Learning Management System Sakai, is used as an
instrument for studying features of various physical and technical
phenomena and processes. Each of the presented virtual labs may be
considered a stand-alone mini project to enable students to go
through all the steps of mathematical modelling and computer
simulation-from the problem statement to mathematical and physical
analysis of the obtained result. The book is useful for teachers to
organize the educational process, allowing gradual monitoring of
the learning process and assessment of students' competencies. It
also allows tutors to design individual educational trajectories
for students to achieve educational properties. The subject of the
book is an extension of activity started by the international team
of authors within the InMotion project of the European programme
ERASMUS+.
This book provides ideas for implementing Wolfram Mathematica to
solve linear integral equations. The book introduces necessary
theoretical information about exact and numerical methods of
solving integral equations. Every method is supplied with a large
number of detailed solutions in Wolfram Mathematica. In addition,
the book includes tasks for individual study. This book is a
supplement for students studying "Integral Equations". In addition,
the structure of the book with individual assignments allows to use
it as a base for various courses.
This book briefly discusses the main provisions of the theory of
modeling. It also describes in detail the methodology for
constructing computer models of dynamic systems using the Wolfram
visual modeling environment, SystemModeler, and provides
illustrative examples of solving problems of mechanics and
hydraulics. Intended for students and professionals in the field,
the book also serves as a supplement to university courses in
modeling and simulation of dynamic systems.
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