Numerical methods
BS BN BB BT BI BM BR DT BC BP BDT
Dr Alistair Carr and Mr Francis Benyah
3 points * Second semester * 2 hours per week * Gippsland/Distance * Prerequisites: GAS1832, GAS1612, GAS1611
This subject is intended to introduce some of the methods commonly used in numerical computations; to develop the theoretical bases of the algorithms, as well as assessing their likely accuracy and any possible difficulties. Areas covered include numerical methods for solving non-linear equations; solving systems of linear equations; numerical differentiation and integration; interpolation, least squares fitting, orthogonal polynomials; numerical solution of ordinary differential equations with initial and/or boundary conditions; comparisons of methods by operations count, order of convergence, error bounds, and empirical error estimates; introduction to the use of computer packages for numerical analysis. On-campus students are offered lectures and tutorials, supplemented by a textbook, study guides and readings. Ordinary assignments are corrected but do not count directly towards assessment.
Assessment
Two assessment assignments: 40% * Examination: 60%
Prescribed texts
Atkinson K Elementary numerical analysis 2nd edn, Wiley, 1993
Recommended texts
Atkinson K Introduction to numerical analysis 2nd edn, Wiley, 1989
Burden R L and Faires J D Numerical analysis 4th edn, PWS-Kent, 1989
Plybon B F An introduction to applied numerical analysis PWS-Kent, 1992
Scheid F Theory and problems of numerical analysis McGraw-Hill, 1968