Systems Mathematics

Course aim

The Systems Mathematics course is one component of an Associate Degree in Defence Systems program which aims to teach a cognitive, yet practical, approach to its constituent subjects. The course includes tuition in analytical and deductive skills, delivered within a practical context. The aim of the course is to provide sufficient knowledge of engineering/systems mathematics and statistics implemented via a spreadsheet program to model and derive the properties of selected functions associated with the physical world and to calculate probabilities of component failure and associated systems reliability.

Course content

Algebra and basic mathematical function concepts and techniques; function description and graphical visualisation; maxima and minima; characteristics of common functions (exponentials, steps, impulses and sinusoids). Differential and integral calculus and basic numerical methods for their calculation. Introduction to concepts and techniques of the Fourier representation of functions/signals: time, frequency, amplitude, phase, principles of the Fourier transform, spectral representation. Random variables; descriptive statistics; risk analysis and failure calculations. Computer-based representation and analysis of mathematical functions and mathematical methods: spreadsheet calculations (arithmetic) using Excel.

Textbook(s)

Blanchard & Fabrycky; , Systems Engineering and Analysis, 4th, Pearson Prentice Hall

Prerequisite(s)

Mathematical studies at year 12 or equivalent trade quantification or equivalent experience at work.

Corequisite(s)

Nil

Teaching method

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

Assessment

Assignment 2, Assignment 3, Assignment/practical 1 - in class and home (design, analysis and/or problem solving on selected course topics)

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
Non-award tuition fees are set by the university. To determine the cost of this course, go to:
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Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.