| ELEMENTS OF GEOPHYSICS
(objectives)
The course is aimed at introducing the basic mathematical methods applied in geophysics and their use in Matlab. The main goal is to reach an adequate understanding of such methods and to acquire the capability to develop and use the mathematical tools to study the physical processes of the Earth.
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Code
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20410516 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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6
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Scientific Disciplinary Sector Code
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FIS/06
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Contact Hours
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48
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Type of Activity
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Elective activities
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Teacher
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LAURO SEBASTIAN
(syllabus)
Introduction to the course. Introduction to Matlab 1. Matricial Calculation; search for main components (eigenvalues, eigenvectors, ...).
Introduction to Matlab 2: rows, columns, matrix, figure, vectors, import data, ... Tensors; rigid rototranslations and associated matrix.
Rotation of a seismic signal to derive the radial and transverse component. Complex numbers and trigonometric functions. Polar representation. Phasor. Matlab exercise: representation in Cartesian-polar-spherical coordinates. Vector calculation. Waves. Stationary waves.
Signal analysis: linear time-invariant system, Convolution theorem.
Exercise on the impulse and step response. Fourier series. Fourier transform. Exercise on Fourier Analysis of mechanical waves. Solution of the wave equation in the frequency domain. Exercise: delay and phase.
Cross Correlation - Filtering of data in time and frequency domain.
(reference books)
Mathematical modelling for Earth sciences. Xin She Yang. Dunedin.
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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Teacher
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MATTEI ELISABETTA
(syllabus)
Introduction to the course. Introduction to Matlab 1. Matricial Calculation; search for main components (eigenvalues, eigenvectors, ...).
Introduction to Matlab 2: rows, columns, matrix, figure, vectors, import data, ... Tensors; rigid rototranslations and associated matrix.
Rotation of a seismic signal to derive the radial and transverse component. Complex numbers and trigonometric functions. Polar representation. Phasor. Matlab exercise: representation in Cartesian-polar-spherical coordinates. Vector calculation. Waves. Stationary waves.
Signal analysis: linear time-invariant system, Convolution theorem.
Exercise on the impulse and step response. Fourier series. Fourier transform. Exercise on Fourier Analysis of mechanical waves. Solution of the wave equation in the frequency domain. Exercise: delay and phase.
Cross Correlation - Filtering of data in time and frequency domain.
(reference books)
Mathematical modelling for Earth sciences. Xin She Yang. Dunedin.
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Dates of beginning and end of teaching activities
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From to |
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Delivery mode
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Traditional
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Attendance
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not mandatory
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Evaluation methods
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Written test
Oral exam
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Università Roma Tre