302610 (v.3) Geophysics 421 - Theoretical Geophysics
Area: | Department of Exploration Geophysics |
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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, 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, divergence theorem. Scalar or Vector field theory, Poisson's equation, Green's function solutions, acoustics, wave equation, Helmholtz equation, Green's function for Helmholtz equation. |
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
Year | Location | Period | Internal | Partially Online Internal | Area External | Central External | Fully Online |
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2012 | Bentley Campus | Semester 1 | Y |
Area External refers to external course/units run by the School or Department or offered by research.
Central External refers to external and online course/units run through the Curtin Bentley-based Distance Education Area
Partially Online Internal refers to some (a portion of) learning provided by interacting with or downloading pre-packaged material from the Internet but with regular and ongoing participation with a face-to-face component retained. Excludes partially online internal course/units run through the Curtin Bentley-based Distance Education Area which remain Central External
Fully Online refers to the main (larger portion of) mode of learning provided via Internet interaction (including the downloading of pre-packaged material on the Internet). Excludes online course/units run through the Curtin Bentley-based Distance Education Area which remain Central External