Academic year2016/17
CoursePHYSICS
Code175BB
Credits6
PeriodSemester 1
LanguageItalian
| Modules | Area | Type | Hours | Teacher(s) |
| METODI MATEMATICI 2 | FIS/02 | LEZIONI | 48 | |
Programma non disponibile nella lingua selezionata
Knowledge
The student who successfully completes the course will be able to use function theory
as a help for calculation and as a framework for modelling physical problems. He will get a fair knowledge of analytic functions, conformal mapping and their applications to two-dimensional problems. He will learn the theory and application of Green functions for both ordinary and partial differential equations. He will learn the fundamentals of the theory of distribution (Schwartz and tempered distrubutions, Fourier trabsform) and will be able to solve differential equations for distributions.
Assessment criteria of knowledge
The student will be assessed on his/her demonstrated ability to
solve problems which are proposed in periodic written tests and
in a final written exam. To complete these written tests three
hours are allowed. The student may ask for an additional oral exam,
where other problems/exercises are proposed.
Methods:
- Final oral exam
- Final written exam
- Periodic written tests
Further information:
The written exam gives the student a way to understand his/her level of preparation. Its grade is the basic grade of the whole exam. A good oral exam may raise the final grade, but a not-so good oral exam may also lower it. During the course two intermediate written examinations are offered. Those who pass them may take the oral exam right away.
Teaching methods
Delivery: face to face
Learning activities:
- attending lectures
- individual study
Attendance: Advised
Teaching methods:
Syllabus
Analytic functions. Power expansions. Singularities. Analytic contin
uation.Multiple valued functions. Conformal mapping. Moebius trans
formations. Applications to homogeneous and inhomogeneous potential
problems. Green functions and their use. Schwartz's distributions. De
rivative of a distribution. Convergence of distributions.Products of
distributions and smooth functions. Local structure of distributions.
Tempered distributions. Fourier transform of tempered distributions.
Differential equations for distributions. The Green function for
second order ordinary differential equations.
Bibliography
Notes are available online. When useful, relevant texts are indicated.
Updated: 14/11/2016 17:27
