Course Title: Apply Mathematical Solutions to Engineering Problems

Part B: Course Detail

Teaching Period: Term2 2012

Course Code: MATH7040

Course Title: Apply Mathematical Solutions to Engineering Problems

School: 130T Vocational Engineering

Campus: City Campus

Program: C6069 - Advanced Diploma of Engineering Technology

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email:

Name and Contact Details of All Other Relevant Staff

Teacher: Sergei Eljaste

Tel. No. +61 3 9925 4661

Teacher: Darryl Cole

Tel No: +61 3 9925 8054

Nominal Hours: 80

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


Course Description

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, functions, graphs and the use of scientific calculators but does not include differential and integral calculus.

Application of the unit
This unit of competency is intended to apply to any recognised development program that leads to the acquisition of a formal award at AQF level 5 or higher. It provides the mathematical background to work in a para-professional environment.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VBP228 Apply Mathematical Solutions to Engineering Problems


Identify computational requirements.

Performance Criteria:

1.1 OH&S and environmental requirements for a
given work area are obtained and understood.
1.2 The computational task is determined through
requests, design briefs or equivalent and clarified
with the appropriate personnel.
1.3 Where appropriate expert advice is sought with
respect to the computational task and according
to enterprise procedures.


Perform computation

Performance Criteria:

4.1 OH&S requirements for completing the work are
4.2 Computations are performed and results recorded.
4.3 Decisions for dealing with unexpected situations
are made from discussions with appropriate
personnel, job specifications and enterprise
4.4 Methods for dealing with unexpected situations
are selected on the basis of safety and specified
work outcomes.


Select appropriate mathematical method.

Performance Criteria:

2.1 OH&S requirements for carrying out the work
are followed.
2.2 Industry codes, regulations and technical
documentation relevant to the computational task
are interpreted and understood.
2.3 Where appropriate, tables and graphs are used to
obtain computational data.
2.4 The appropriate assumptions underlying the
computational task are made and recorded.
2.5 Resources required are identified, obtained and
checked as fit for purpose.
2.6 The most appropriate computational method is
selected and can be justified.


Use scientific calculator

Performance Criteria:

3.1 Arithmetic operations are performed, including
decimals and fractions.
3.2 All calculator functions can be used in
computational sequences.
3.3 Features of a scientific calculator are explained
and exploited to efficiently perform


Verify and interpret results.

Performance Criteria:

5.1 OH&S requirements for carrying out the work
are followed.
5.2 Results are verified and discussed with
appropriate personnel.
5.3 Where appropriate results are graphed or charted

Learning Outcomes

Not Applicable

Details of Learning Activities

The learning activities for this course include:
Attending lectures at which the course content will be presented and taught with appropriate examples
Completing the assigned questions during class time
Private study, consolidating the material provided/recommended in class and completing all required exercises and other tasks.

Teaching Schedule

Session 1       Introduction to Course, Arithmetic Operations - Fractions and Decimals
Session 2       Use of Scientific Calculators, Ratios
Session 3       Estimations and accuracy
Session 4       Indices and radicals.
Session 5       Algebra - Linear Expressions and Equations.
Session 6       Algebra - Polynomials.
Session 7       Algebra - Algebraic fractions. HCF and LCM.
Session 8       Formulae. Evaluation and transposition.
Session 9       Solving linear equations. Solving Simultaneous equations
Session 10     Quadratic Equations, Zero and Roots, Solutions of the Equations
Session 11     Geometry - Points, Lines, Rays and Angles, Angle of Triangle.
Session 12     Geometry of Triangles.
Session 13     Geometry of Circles. Quadrilaterals
Session 14      Introduction to Trigonometry
Session 15     Trigonometry - Sine and Cosine Formula, Area of Triangle
Session 16     Volumes and areas of solids.
Session 17     Co-ordinate geometry.
Session 18     Functions and their graphs
Session 19     Circular functions
Session 20     Logarithms
Session 21     Compound interest. Exponential growth and decay.
Session 22     Introduction to vectors
Session 23     Introduction to matrices. Cramer’s method.
Session 24     Revision
Session 25     Unit test.

Learning Resources

Prescribed Texts

Mathematics for Technicians seventh edition by Blair Alldis



Other Resources

Calculator: TI 83/TI 83+/TI 84/TI 84+

Overview of Assessment

Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards. Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor. Feedback will be provided throughout the course.

Evidence of student’s competence can be gathered through a variety of ways including:
• observation of processes and procedures;
• oral and/or written questioning on required knowledge and skills;
• testimony from supervisors, colleagues, clients and/or other appropriate
• inspection of the final product or outcome;
• a portfolio of documentary evidence.

Graded Assessment out of 100 Marks will be based on the results obtained for Assignments, Practical Reports & Unit Tests.
Students must gain a pass in ALL forms of assessment in order to gain this competency.


Assessment Tasks

The assessment is conducted according to the performance criteria set
in the Unit Descriptor. The students are required to undertake summative assessments that bring together knowledge
and skills.

To successfully complete this course you will be required to demonstrate competency in each assessment tasks detailed
under Assessment Task Section.


1. One assignment  which carries - 40 marks

2. Open book Examination which carries - 60 marks

A minimum of 50% of the total mark is required to pass this course

Assessment Matrix

Assessment taskElementsPercentage of total mark                   
Assignment1 - 540%
Unit test       1 - 5      60%

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:

Please Refer;ID=riderwtscifm (unresolved) to find more information about special consideration


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

Please Refer: to find more information about plagiarism.

Other Information:

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

Course Overview: Access Course Overview