Area: | Department of Mathematics and Statistics |
Credits: | 25.0 |
Contact Hours: | 4.0 |
Lecture: | 3 x 1 Hours Weekly |
Laboratory: | 1 x 1 Hours Weekly |
Prerequisite(s): | 8127 (v.5) Mathematics 201 or any previous version
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Syllabus: | Separation of variables for partial differential equations (including Laplace's equation and the diffusion equation). Scaling methods and dimensional analysis. Laplace transforms. Sturm-Liouville systems and orthogonal function expansions. Special functions including Bessel and modified Bessel functions, Legendre polynomials. Generalised functions. Green's function method. Functions of a complex variable. Cauchy's theorem. Taylor and Laurent series. Residue calculus. Inverse Laplace transforms. |
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Unit Outcomes: | On completion of this unit, students will be able to solve some partial differential equations using the method of separation ofvariables. Approximate a function using a generalized Fourier series. Understand the use of Green's function for solving a Sturm-Liouville system. Understand the properties of elementary functions of a complex variable. Use complex integration to evaluate integrals. |
Texts and references listed below are for your information only and current as of September 30, 2003. Some units taught offshore are modified at selected locations. Please check with the unit coordinator for up-to-date information and approved offshore variations to unit information before finalising study and textbook purchases. |
Unit References: | Andrews, L.C. 1986 Elementary partial differential equations with boundary value problems. Acad. Press. Boyce, W.E. and DiPrima, R.C. any edition. Elementary differential equations and boundary value problems. Wiley. Fisher, S.D. 1986 Complex Variables, 2nd ed. Wadsworth & Brooks-Cole. Johnson, D.E. and Johnson, J.R. 1982. Mathematical methods. Prentice- Hall. Trim, E.W. 1990. Applied partial differential equations, PWS-Kent |
Unit Texts: | no text required |
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Unit Assessment Breakdown: | Assignment 1 15%, Assignment 2 15%, Web quiz 5%, End of Semester Examination 65% |
Field of Education: | 10100 Mathematical Sciences (Narrow Grouping) | HECS Band (if applicable): | 2 |
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Extent to which this unit or thesis utilises online information: | Not Online | Result Type: | Grade/Mark |
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Availability
| Year | Location | Period | Internal | Area External | Central External | | 2004 | Bentley Campus | Semester 1 | Y | | |
Area
External | refers to external course/units run by the School or Department, offered online or through Web CT, or offered by research. |
Central
External | refers to external course/units run through the Curtin Bentley-based Distance Education Area |
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