MAT2072

Numerical methods

Coordinator: Dr Michael Reeder

4 points
* Two 1-hour lectures per week
* Second semester
* Clayton
* Prerequisites: MAT1020 or MAT1080
* Prohibitions: ATM2132, GAS2622, MAA2032, MAT2077, MAT2452, MAT2930

Objectives On the completion of this subject students will be able to utilise at least one technique for solving the following types of problems: solving systems of linear and nonlinear equations, eigenvalues and eigenvectors, curve fitting and interpolation, numerical integration and differential equations; formulate practical problems on numerical algorithms and solve them on computers; appreciate the power and limitations of computers; adapt general techniques to specific problems; improve their ability to write practical computer programs; develop an interest in how numerical techniques can be used to solve problems; see the given techniques as having other applications in different areas; evaluate critically the results.

Synopsis Algorithms. Solution of non-linear equations. Solution of systems of equations. Interpolation and least-squares curve fitting. Numerical integration and differentiation. Numerical solution of ordinary differential equations.

Assessment Examination (2 hours): 85%
* Tests and assignments: 15%

Prescribed texts

Page M A Notes on numerical methods Department of Mathematics and Statistics, Monash U, 1992

Recommended texts

Atkinson K Elementary numerical analysis Wiley, 1985