Course Title: Apply mathematical principles to engineering designs

Part B: Course Detail

Teaching Period: Term1 2012

Course Code: OENG7317

Course Title: Apply mathematical principles to engineering designs

School: 130T Vocational Engineering

Campus: City Campus

Program: C3163 - Certificate III in Engineering Studies

Course Contact: Steven Bevan

Course Contact Phone: +61 3 9925 4661

Course Contact Email:

Name and Contact Details of All Other Relevant Staff

Teacher: Mr. Sergei Eljaste
Tel. No. +61 3 9925 4661

Teacher: Mr. Darryl Cole
Tel No: +61 3 9925 8054

Nominal Hours: 40

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

Pre-requisites and Co-requisites

No pre-requisite compenticies is required for this course.

Course Description

This unit of compentency sets out the knowledge and skills required to perform a range of mathematical tasks related to more complex engineering problems. It includes algebra, trigonometry, graphs and mensuration.This unit of competency shall/may be demonstrated in relation to the tasks of undertaking computations within and engineering context. The compentency may be demonstrated using scientific clculators and formulae sheets relating to the mathematical relationships important to engineering activities.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VBN787 Apply mathematical principles to engineering designs


1. Solve computational engineering tasks using a scientific calculator.

Performance Criteria:

1.1 Arithmetic operations are performed, including decimals and fractions.
1.2 Powers of ten and roots are used in computational sequences.
1.3 Conversions between imperial and metric units are performed.
1.4 Basic features of a scientific calculator are explained and exploited to efficiently perform computations.


2. Manipulate simple algebraic expression to solve for unknown variables in relation to engineering problems.

Performance Criteria:

2.1 Linear expressions are transposed to isolate required variables.
2.2 Linear algebraic expression are simplified.
2.3 Linear equations with one unknown are solved correctly.
2.4 Linear expressions are derived involving computational problems containing ratios and simple shapes.


3. Apply trigonometry to solve triangulat problems in an engineering environment.

Performance Criteria:

3.1 Unknown dimensions of right-angle triangles are determined using “Pythagoras’ Theorem”.
3.2 Problems involving right angle triangles are solved using appropriate trigonometric ratios.
3.3 Computations for any triangle is performed using sine or cosine rules as appropriate.
3.4 Angular measurements are expressed in degrees or radian and conversions are performed between these units.


4. Apply geometric peinciples in the solution of engineering problems.

Performance Criteria:

4.1 Axes, quadrants, points, labels, scales and ordered pairs for rectangular co-ordinate systems are identified and drawn correctly.
4.2 Linear equations are plotted into a rectangular co-ordinate system to obtain the solution of two equations with two unknowns.
4.3 Area and volume of simple shapes and geometric bodies are determined by computations.
4.4 Expressions are derived from formulae for area and/or volume for basic shapes to compute area and/or volume of composite shapes and/or geometric bodies.
4.5 Calculations are performed to determine the amount of materials required for the fabrication of a range of basic shapes and geometric bodies.
4.6 Computations for material quantities can be applied to non-routine problems.
4.7 Computations are checked by appropriate personnel for correctness.


5. Prepare charts and graphs from given information.

Performance Criteria:

5.1 Information extracted from simple graphs and charts is interpreted correctly.
5.2 Information is used to produce simple charts and graphs.
5.3 Identify sine, cosine and tangent from a graph on a unit circle.
5.4 Informations contained in simple graphs and charts is extracted, understood and communicated to others in the workplace.

Learning Outcomes


Details of Learning Activities

This unit of competency sets out the knowledge and skills required to apply mathematical concepts and methods that are common to all engineering fields. This includes arithmetic, algebra, geometry, equations, graphs and the use of scientific calculators but does not include differential and integral calculus. There is a 2-hour student directed learning component in this course

Teaching Schedule

Week 1
Introduction to the subject, basic functional operations for a scientific calculator, arithmetic operations including decimals , fractions, power of ten and roots in calculator operations, basic Numbers.

Week 2
 Ratio, proportion, percentage. Surds, Indices and radicals.

Week 3
Linear expression to solve unknown variables in relation to engineering problems which include transposition, factorisation and simplification of linear expression.
Deriving and solving the linear expressions which contain the ratio and simple shapes.

Week 4
Formulae evaluation and transposition
Simultaneous equations
Assignment One hands out

Week 5
Production and Interpretation of information on the charts and graphs.
Unit circle (sine, cosine and tangent) graph.

Week 6
Tutorial and Revision

Assignment One Due

Week 7
Examination 1

Week 8
Measurement and mensuration.
Perimeters, areas and volumes (simple shape).
Perimeters, areas and volumes (compound shapes).
Calculation on manufacturing required materials and cost on the areas and volumes of simple and/or compound shapes.

Week 9
Introduction to geometry.
Points, lines, rays, angles.
Geometry of triangles.
Geometry of Circles.

Week 10
Assignment Two hands out

Week 11
Pythagoras theorem.
Trigonometric ratio.
Sine Rule, Cosine Rule for non-right angle triangle.
Angular measurement in degree and radian and conversions between these units.

Week 12
Tutorial and Revision
Assignment Two hands in

Week 13
Examination 2

Learning Resources

Prescribed Texts

Mathematics for Technicians seventh edition by Blair Alldis 0-07-471157-1 Library


Other Resources

Online and library resources

Overview of Assessment

To successfully complete this course the student is required to pass written assessment tasks and demonstrate skills and ability by completing pratical tasks to engineering standard.

Assessment Tasks

The assessment is conducted according to the performance criteria set
in the National Training Package. To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed
under Assessment Task Section.

2 x Individual assignments/tests 40%
2 x Unit tests 60%

Assessment Matrix

Assessment task                            Percentage of total mark                               Elements

Assignment 1                                    20%                                                                  1 - 5

Assignment 2                                    20%                                                                  1 - 5

Unit test 1                                           30%                                                                   1 - 5

Unit test 2                                           30%                                                                   1 - 5

Other Information

Study and learning Support:

Study and Learning Centre (SLC) provides free learning and academic development advice to you.
Services offered by SLC to support your numeracy and literacy skills are:

assignment writing, thesis writing and study skills advice
maths and science developmental support and advice
English language development

Please Refer to find more information about Study and learning Support

Disability Liaison Unit:

If you are suffering from long-term medical condition or disability, you should contact Disability Liaison Unit to seek advice and
support to complete your studies.

Please Refer to find more information about services offered by Disability Liaison Unit

Late submission:

If you require an Extension of Submittable Work (assignments, reports or project work etc.) for 7 calendar days or less (from the original due date) and have valid reasons, you must complete and
lodge an Application for Extension of Submittable Work (7 Calendar Days or less) form and lodge it with the Senior Educator/ Program Manager.
The application must be lodged no later than one working day before the official due date. You will be notified within
no more than 2 working days of the date of lodgment as to whether the extension has been granted.

If you seek an Extension of Submittable Work for more than 7 calendar days (from the original due date) must lodge an Application for Special
Consideration form under the provisions of the Special Consideration Policy, preferably prior to, but no later than 2 working days
after the official due date.

Submittable Work (assignments, reports or project work etc.) submitted late without approval of an extension will not be accepted or marked.

Special consideration:

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Plagiarism is a form of cheating and it is very serious academic offence that may lead to expulsion from the University.

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Other Information:

All email communications will be sent to your RMIT email address and you must regularly check your RMIT emails.

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