Units

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Sample subject outline - Semester 2 2013

Note: Subject outlines often change before the semester begins. Below is a sample outline.

Rationale

Surveying and mapping involve the collection, processing, analysis and presentation of data about the earth's features. Typically, the processing and analysis of this data is performed using computer technology. Thus, knowledge of analytical mathematics and the mathematical algorithms behind a range of computational processes is essential for the surveying professional.

Aims

The aim of this unit is to extend your knowledge of analytical mathematics and to introduce you to the mathematical algorithms behind a range of computational processes and the basic programming skills needed to enable you to implement these algorithms.

Objectives

On successful completion of this unit you should be able to:

1. Apply matrix methods and function fitting techniques to a variety of surveying problems.
2. Write simple computer code to implement algorithms discussed in class.
3. Use analytical thinking skills.
4. Communicate your ideas and solutions to problems posed.

Content

1. Systems of linear equations, Gaussian elimination, matrix inversion, properties of inverses, partial pivoting, error propagation.

2. Determinants, properties of determinants, rank.

3. Compact (direct) and iterative (indirect) methods for solving linear systems.

4. Eigenvalues and eigenvectors of 2x2 and 3x3 matrices, diagonalisation, quadratic forms, conic sections.

5. Lagrange interpolation, divided differences, least squares methods, two-dimensional interpolation methods.

6. Fixed-point iteration, Newton's method and Quasi-Newton methods.

Approaches to Teaching and Learning

The material presented will be context based utilising a wide variety of examples from different areas of application. The emphasis will be on learning through experience, learning as individuals, written communication, and developing skills and attitudes to promote life-long learning.

Assessment

The assessment items in this unit are designed to determine your level of competency, measured against criteria, in meeting the unit outcomes while providing you with a range of tasks with varying levels of skill development and difficulty.Formative feedback will be provided for the in-semester assessment items by way of written comments on the assessment items, student perusal of the marked assessment piece and informal interview as required.

Summative feedback will be provided throughout the semester with progressive posting of results via Blackboard.

Assessment name: Problem Solving Task
Description: Planning and execution of mathematical problem solving strategies for simple relevant problems.
Relates to objectives: All.
Weight: 40%
Internal or external: Internal
Group or individual: Individual
Due date: Progressive

Assessment name: Examination (Theory)
Description: Exposition of techniques and problem solving strategies and skills across a range of contexts, with a distribution of short and long answers required.
Relates to objectives: All
Weight: 60%
Internal or external: Internal
Group or individual: Individual
Due date: End of Semester

Academic Honesty

QUT is committed to maintaining high academic standards to protect the value of its qualifications. To assist you in assuring the academic integrity of your assessment you are encouraged to make use of the support materials and services available to help you consider and check your assessment items. Important information about the university's approach to academic integrity of assessment is on your unit Blackboard site.

A breach of academic integrity is regarded as Student Misconduct and can lead to the imposition of penalties.

Resource materials

Texts:
You are not required to purchase a textbook - Lecture notes will provide a sufficient text for this unit. The notes will be made available via QUT Blackboard, which is accessible from any QUT computing laboratory.

References:
The following books may prove useful as additional references for the topics covered in the unit:

1. Anton H & Rorres C (2005) Elementary Linear Algebra with Applications, 9th Edition, John Wiley & Sons Inc.
2. Brian Bradie (2006) A Friendly Introduction to Numerical Analysis, Pearson.
3. Mizrahi A & Sullivan M (2000) Mathematics An Applied Approach, 7th Edition, John Wiley & Sons Inc.

Risk assessment statement

There are no unusual risks associated with undertaking this unit.

You will be made aware of fire exits in all classrooms, computer labs and lecture theatres and assembly areas should evacuation be necessary. Further information on Health and Safety at QUT can be obtained from http:/www.hrd.qut.edu.au/healthsafety/healthsafe/index.jsp.

Disclaimer - Offer of some units is subject to viability, and information in these Unit Outlines is subject to change prior to commencement of semester.

Last modified: 11-May-2012