Undergraduate - UnitMTH2051 - Introduction to computational mathematics

This unit entry is for students who completed this unit in 2012 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

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6 points, SCA Band 2, 0.125 EFTSL

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.

Level	Undergraduate
Faculty	Faculty of Science
Offered	Clayton First semester 2012 (Day)
Coordinator(s)	Dr Leo Brewin

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; approximations of functions: curve fitting, least squares and interpolation; analysis of data by Fourier Transforms and FFTs; numerical differentiation and integration; ordinary differential equations. These topics will be supported with case studies drawn from various disciplines in the physical sciences.

Outcomes

On completion of this unit, students will have the knowledge and confidence to use the computer as a tool to solve mathematical problems. Students will learn how to program using a simple but powerful package known as MATLAB (used extensively in commercial engineering and scientific organisations), and about algorithms and how they are translated from mathematics into MATLAB programs. Students will learn that there are many ways to solve a numerical problem; will be able to appreciate strengths and weaknesses of alternative algorithms; will develop skills to choose the appropriate algorithm for the problem at hand; and will develop a basic understanding of the approximations introduced in algorithms and the effects those approximations have on the quality of calculations.