306191 (v.2) Geophysics 621 - Theoretical Geophysics

Area:

Department of Exploration Geophysics

Credits:

12.5

Contact Hours:

2.0

** The tuition pattern below provides details of the types of classes and their duration. This is to be used as a guide only. For more precise information please check your 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.

** To ensure that the most up-to-date information about unit references, texts and outcomes appears, they will be provided in your unit outline prior to commencement. **

Field of Education:

010705 Geophysics

Funding Cluster:

08 - Engineering, Science, Surveying

SOLT (Online) Definitions*:

Informational
*Extent to which this unit or thesis utilises online information

Result Type:

Grade/Mark

Availability

Year	Location	Period	Internal	Partially Online Internal	Area External	Central External	Fully Online
2007	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