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Mathematical Methods in Physics

Code 14907
Year 2
Semester S2
ECTS Credits 6
Workload TP(60H)
Scientific area Physics
Entry requirements None
Learning outcomes Complement and reinforce training in mathematics, namely in areas necessary for the full understanding of classic and modern topics in Physics.
Syllabus 1 - Fourier transforms
Complex Fourier series.
Fourier transform.
Inverse transformation.
Parseval's Theorems and Convolution Theorem.
Fourier integral theorem.
Dirac Delta function.

2 -Partial differential equations
Cylindrical and spherical coordinates
Differential operators
Separation of variables
Wave equation
Laplace and Poisson equations
Diffusion equation
Green functions

3 - Special Functions
Sturm-Liouville problem
Polynomials of Legendre, Hermite and Laguerre
Bessel functions.
Main Bibliography 1. Arfken GB, Weber HJ, Harris FE (2012). Mathematical Methods for Physicists, 7th ed. New York: Academic Press
2. Braun M (1993). Differential Equations and Their Applications, 4th ed. New York: Springer
3. Cantrell CD (2000). Modern Mathematical Methods for Physicists and Engineers. New York: Cambridge University Press
4. Ramos M (2011). Curso Elementar de Equações Diferenciais, 3.ª ed. Lisboa: Universidade de Lisboa
5. Riley KF, Hobson MP, Bence JS, Mathematical Methods fpr Physics and Engineering, 3rd ed, New York: Cambridge University Press
Language Portuguese. Tutorial support is available in English.
Last updated on: 2020-07-15

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