Course Unit Page
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Teacher Maria Carla Tesi
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Learning modules Maria Carla Tesi (Modulo 1)
Simonetta Abenda (Modulo 2)
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Credits 6
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SSD MAT/05
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Teaching Mode Traditional lectures (Modulo 1)
Traditional lectures (Modulo 2)
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Language Italian
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Campus of Bologna
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Degree Programme First cycle degree programme (L) in Mathematics (cod. 8010)
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Course Timetable from Apr 04, 2022 to May 23, 2022
Course Timetable from Feb 21, 2022 to Mar 30, 2022
SDGs
This teaching activity contributes to the achievement of the Sustainable Development Goals of the UN 2030 Agenda.


Academic Year 2021/2022
Learning outcomes
At the end of the course the student is familiar with the fundamentals of the theory of ordinary differential equations.He/she can apply the knowledge acquired to solve various types of problems, inherent, in particular, periodic motions and their stability, the evolution of species, radioactive decays.
Course contents
Ordinary differential equations. Existence, uniqueness, extension of solutions. Dependence on initial data. Linear systems: periodic solutions. Stability of equilibrium points for linear and non-linear systems. Stability of periodic orbits.
Readings/Bibliography
Parenti Parmeggiani, Algebra lineare ed equazioni differenziali ordinarie, 2nd edition, Springer.
Shair Ahmad, Antonio Ambrosetti, A textbook for ordinary differential equations, Unitext series, vol. 73, Springer
Gerald Teschl, Ordinary Differential Equations and Dynamical Systems, Providence, American Mathematical Society, 2012
Hirsch, Smale, Devaney, Differential Equations, Dynamical Systems & An Introduction to Chaos, Elsevier, 2004
Teaching methods
Lectures given by the teachers, in class. In case of necessity (due to the persistence of the pandemic), it will be possible to follow the lectures also remotely.
Assessment methods
Oral discussion on the topics treated in the course.
Teaching tools
Some lectures will be made available online, via pdf files, on the platform Virtuale. Additional material will be made available during the course.
Office hours
See the website of Maria Carla Tesi
See the website of Simonetta Abenda