| Code |
13318
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| Year |
1
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| Semester |
S1
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| ECTS Credits |
10
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| Workload |
TP(30H)
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| Scientific area |
Física e Matemática
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|
Entry requirements |
None
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Learning outcomes |
To aquire advanced knowledge in dynamical systems and differential equations.
To prepare students for research in theoretical physics and modern mathematical physics.
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Syllabus |
1. General theory
2. Linear equations
3. Stability and hyperbolicity
4. structural stability
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|
Main Bibliography |
Carmen Chicone, Ordinary Differential Equations with Applications, Springer-Verlag,1999.
Luís Barreira e Cláudia Valls, Equações Diferenciais: Teoria Qualitativa, IST Press, 2010.
Claus I. Doering e Artur O. Lopes, Equações Diferenciais Ordinárias, Colecção Matemática Universitária, IMPA, 2005
Lawrence Perko, Differential Equations and Dynamical Systems, Springer-Verlag, 2006
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Teaching Methodologies and Assessment Criteria |
The classes will be theoretical, practical and tutorial. The teacher presents the concepts, sets out the results, proving many of them. It further illustrates theory with examples and applications. The teacher points out texts from the bibliography for the student deepen their knowledge. The student is encouraged to participate in classes, interacting with the teacher and sometimes solving exercises and problems. Autonomous work is also encouraged, consisting mainly of exercises, problems and mathematical demonstrations. The evaluation carried out during the teaching-learning period will consist of two moments: Work (T) and presentation of a seminar (S). The final classification will be CF=(0.5*T+0.5*S). The student may also take a final exam.
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Language |
Portuguese. Tutorial support is available in English.
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