Course Title: Apply Mathematical Solutions to Engineering Problems

Part B: Course Detail

Teaching Period: Term2 2011

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

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:

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


Select appropriate mathematical method.

Performance Criteria:

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


Use scientific calculator

Performance Criteria:

4.1 Arithmetic operations are performed, including
decimals and fractions.
4.2 All calculator functions can be used in
computational sequences.
4.3 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

13:30 - 16:30
08:30 - 12:00
1. Introduction to Course, Arithmetic Operations - Fractions and Decimals
2. Arithmetic Operation, Use of Scientific Calculations, Powers of Tens and Roots.............. 
 3. Algebra - Linear Expressions and Equations, Simple Shapes ..............
 4. Formulae: Evaluation and Transposition.............. 
 5. Geometry - Points, Lines, Rays and Angles, Angle of Triangle, Geometrical Constructions Using a Compass ..............
 6. Geometry of Triangles, Circles and Quadrilaterals.............. 
 7. Co-ordinarte Geometry  ..............
 8. Revision .............. 
 9. Volumes and areas of solids
 10.Matrices .............. 
 11. Quadratic Equations, Zero and Roots, Solutions of the Equations  ..............
 12. Exponential and Logarithmic Functions .............. 
 13. Introduction to Vectors
 14. Introduction to Trigonometry .............. 
 15. Trigonometry - Sine and Cosine Formula, Area of Triangle  ..............
 16. Graphs and Charts .............. 
 17. Revision  ..............
 18. Unit Test No. 2

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

1. Workbook completion carries - 30 marks

2. Two Units of Examinations each carries - 35 marks

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

Assessment Matrix

Assessment task
Percentage of total mark                   
Workbook completion1 - 5
Unit test 1              1 - 5             35%
Unit test 2
 1 - 5






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