306191 (v.2) Geophysics 621 - Theoretical Geophysics
| Area: | Department of Exploration Geophysics |
|---|---|
| Credits: | 12.5 |
| Contact Hours: | 2.0 |
| Tuition Patterns: | The tuition pattern provides details of the types of classes and their duration. This is to be used as a guide only. Precise information is included in the unit outline. |
| Lecture: | 1 x 2 Hours Weekly |
| Syllabus: | Scalars and vectors, basis vectors, Vector products, triple products, summation convention, norm, orthogonality, ortho-normal bases, Kronecker delta and linearity of vector operations. Complex numbers, Fourier series, power series, notation of function spaces, dot product in function space, periodic functions, Fourier series and decomposition, Fourier series derivation, exponential form, square wave, properties, linearity, time shift and reversal and scaling. Fourier transform, periodic versus non-periodic, derivation of Fourier integrals from Fourier series, forward and inverse Fourier transforms, Fourier transform of square wave, Dirac delta function and Kronecker delta, Heaviside function, Fourier transform of sine and cosine functions, Fourier transform of periodic functions, differentiation and integration properties, duality of Fourier transform, convolution and multiplication. Vector analysis, calculation of vector fields, invariance, volume integrals, surface integrals, directional derivatives, gradient, curl, divergence and divergence theorem. Scalar and Vector field theory, Poisson's equation, Green's function solutions, acoustics, wave equation, Helmholtz equation, Green's functions for Helmholtz. |
| Unit references, texts, outcomes and assessment details | The most up-to-date information about unit references, texts and outcomes, will be provided in the unit outline. |
| Field of Education: | 010705 Geophysics |
| Result Type: | Grade/Mark |
Availability
No current availability exists. It may that this is planned for a future year or a decision has been made to not offer it currently. Contact the School or Area listed above for further information.
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