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Partial differential equations
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Partial differential equations
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Academic year 2017/2018
- Course ID
- TCPDE16-17
- Teacher
- Prof. Sandro Coriasco (Tutor)
- Modular course
- Year
- 2nd year
- Teaching period
- First semester
- Type
- D.M. 270 TAF F - Other activities
- Credits/Recognition
- 0
- Course disciplinary sector (SSD)
- MAT/05 - analisi matematica
- Delivery
- Class Lecture
- Language
- English
- Attendance
- Optional
- Type of examination
- Practice test
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Sommario del corso
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Course objectives
To give a general overview of various methods to solve (free, boundary value, initial value) problems associated with PDEs commonly met in modelling and applications.
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Results of learning outcomes
It is expeced that the students are able, at the end of the lectures, to solve basic exercises of the types examined during the lectures.
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Course delivery
Standard lectures and tutorial activities in classroom.
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Learning assessment methods
Solution of exercises (Practice test, optional).
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Support activities
.
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Program
The method of characteristics. First order linear PDEs in two variables, First order linear PDEs in n variables, Semilinear first order PDEs in n variables.
Second order linear, semilinear and quasilinear PDEs. Elliptic, parabolic and hyperbolic PDEs.
Methods based on (generalized) Fourier series for boundary value problems and initial value problems associated with linear PDEs.
The Fourier-Laplace method for free problems, boundary value problems and initial value problems associated with linear PDEs. Laplacian, heat and wave operators.
Suggested readings and bibliography
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- L.C. Evans, Partial Differential Equations. AMS (2010)
- S. Salsa, Equazioni a derivate parziali. Springer (2010)
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Class schedule
Days Time Classroom Monday 14:00 - 16:00 Tuesday 14:00 - 16:00 Wednesday 14:00 - 16:00 Lessons: dal 13/09/2016 to 21/09/2016
Notes: Classes on:
- tue 13/9 11-13
- wed 14/9 14-16
- mon 19/9 14-16
- tue 20/9 14-16
- wed 21/9 14-16
in Auletta Vercelli and Novara (Nuovo Polo Didattico, Corso Unione Sovietica 218/bis)- Oggetto:
Note
Lectures will take place in classroom Vercelli (13-14/9) and Novara (19-21/9). Please, notice that the first lecture on tue 13/9 will take place from 11:00 to 13:00.
The final assessment test will consist in the solution of some exercises of the types examined during the lectures. It has a self-evaluation character, it is fully optional and provides no credits.
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