308690 (v.1) Computational Mathematics 301

Area:

Department of Mathematics and Statistics

Credits:

25.0

Contact Hours:

4.0

** 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 3 Hours Weekly

Tutorial:

1 x 1 Hours Weekly

Prerequisite(s):

4515 (v.5) Scientific Computing 201 or any previous version

Syllabus:

Numerical methods for initial-value problems and multi-step methods. Systems of ordinary differential equations. Two-point boundary value problems, finite difference and shooting methods. Iterative methods for large-scale linear systems of equations, Jacobi, Gauss-Seidel and successive over relaxation (SOR) methods, convergence and error bounds. Non-linear systems of equations and Newton's Method. Introduction to Partial Differential Equations and second-order finite difference methods. Approximation Theory - weighted least squares approximation, orthogonal polynomials, Chebyshev approximation and Remez Algorithm. Splines - natural cubic splines.

** 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:

010101 Mathematics

Funding Cluster:

04 - Mathematics, Statistics

SOLT (Online) Definitions*:

Not Online
*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