MTH2051

Introduction to computational mathematics (6 points)

(SCI)

Leader: Dr Tom Hall

Offered:
Clayton First semester 2003 (Day)
Clayton First semester 2004 (Day)

Synopsis: The unit offers a practical introduction to numerical computing. It begins by introducing the computing package MATLAB, which is widely used in science and engineering. MATLAB will be the basis for all teaching and practical work. Topics covered include error analysis, the solution of algebraic equations (single non-linear equations, systems of linear equations and systems of non-linear equations); approximations of functions (curve fitting, least squares and interpolation); analysis of data (Fourier Transforms and FFTs); numerical differentiation and integration; ordinary differential equations (Euler method, Runge-Kutta methods and multi-step methods, shooting and matrix methods for boundary value problems). These topics will be supported with case studies drawn from various disciplines in the physical sciences.

Assessment: Examination (3 hours): 70% + Laboratory classes and assignments: 30%

Contact Hours: Three 1-hour lectures and an average of one hour of laboratory classes per week

Prohibitions: MTH3051, MAT2072