| 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 instructor presents the concepts, states the results, demonstrating many of them. Additionally, he illustrates the theory with examples and applications. The instructor indicates texts from the bibliography for the student to deepen their knowledge. Students are encouraged to participate in classes, interacting with the teacher and sometimes solving exercises and problems. Autonomous work is also encouraged, consisting mainly of solving exercises, problems, and mathematical demonstrations. The evaluation carried out throughout the teaching-learning period will consist of 4 exercise sets that must be solved and submitted. The grade for each exercise set will encompass the evaluation of written answers and also an oral discussion on the subject matter of that set. The final grade will be the average of the grades of the exercise sets.
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Language |
Portuguese. Tutorial support is available in English.
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