units

MGE4104

Faculty of Science

# Postgraduate - UnitMGE4104 - Mathematical and statistical methods in geo-engineering

This unit entry is for students who completed this unit in 2013 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.

## 6 points, SCA Band 2, 0.125 EFTSL

To find units available for enrolment in the current year, you must make sure you use the indexes and browse unit tool in the current edition of the Handbook.

 Level Postgraduate Faculty Faculty of Science Organisational Unit Gippsland School of Applied Sciences and Engineering Offered Not offered in 2013 Coordinator(s) Professor Rae Mackay

### Synopsis

The unit is designed to develop a student's foundation mathematical and statistical knowledge and skills applicable to problems in geomechanics and geohydrology.
The foundation skills to be extended and applied to geomechanical and geohydrological problem solving through this unit are: the manipulation of algebraic equations; the use of scalars and vectors and trigonometry; the use of linear ordinary differential equations (ODEs) for simple problems of motion; and the application of integration and differentiation and their numerical approximations to solve ODE's either directly or by iterative methods.
This unit also covers the application in geomechanics and geohydrology of probability theory, the estimation of probability distributions from real data, linear regression and the methods of summarising or comparing real data sets using hypothesis testing and sample statistics.

### Outcomes

On completion of this unit students will be able to:

1. List the basic mathematical and statistical methods relevant to solving geomechanical and geohydrological problems;

1. Use mathematics to describe physical systems relevant to geomechanics and geohydrology;

1. Employ mathematical methods to analyse simple physical systems;

1. Employ approximate methods for the solution of geomechanics and geohydrology problems;

1. Describe sampled data using probability models and statistical measures;

1. Compare data using hypothesis testing and statistical measures.

### Assessment

Practical exercises: 40%
Written examination: 60%