Elements and Performance Criteria

The range statement relates to the unit of competency as a whole. It allows for different work environments and situations that may affect performance. Bold italicised wording, if used in the performance criteria, is detailed below. Essential operating conditions that may be present with training and assessment (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) may also be included.
Engineering applications related to advanced mathematics and numerical methods techniques in this unit
Most engineering disciplines will have applications supported by the advanced mathematics and numerical methods skills described in this unit, including mechanical, manufacturing, maintenance and mechatronics engineering. Examples of engineering applications requiring advanced mathematics and numerical methods skills described in this unit may include:
assisting decision making in industry by analysis of data using advanced mathematics and numerical methods concepts and tools
assisting presentation of data in industry by use of advanced graphical techniques
solution of problems involving rectilinear and rotation motion
solution of problems involving work, energy and power
solution of problems in electrostatics and wave propagation
Scope of advanced mathematics and numerical methods techniques
The scope of advanced mathematics and numerical methods techniques required for an engineering or manufacturing application will vary and may include:
vectors in 3-D, including i, j, k notation, scalar and vector products
dynamics, including Newton’s Laws of Motion, energy, work and power and work-energy theorem
analytical geometry
graphing techniques, including coordinate geometry, polar coordinates and polar graphs
complex numbers, including Cartesian, trigonometric and polar form
linear algebra, including matrix algebra
numerical solutions, including finite difference techniques
errors and propagation of errors
interpolation and approximation

The evidence guide provides advice on assessment and must be read in conjunction with the performance criteria, required skills and knowledge, range statement and the Assessment Guidelines for the Training Package.
Overview of assessment
A person who demonstrates competency in this unit must be able to apply advanced mathematics and numerical methods techniques to engineering-related problems within the context of specified engineering applications and solution validation and technical oversight procedures. The candidate may demonstrate competence through either working individually or as part of a team.
Critical aspects for assessment and evidence required to demonstrate competency in this unit
Assessors must be satisfied that the candidate can competently and consistently:
solve engineering problems using advanced mathematics and numerical methods techniques
validate results of simple examples using advanced mathematics and numerical methods either analytically and/or graphically using appropriate software or scientific calculators
assist decision making processes in industry by analysis of data using advanced mathematics and numerical methods concepts and tools.
Context of and specific resources for assessment
This unit may be assessed on the job, off the job or a combination of both on and off the job. Where assessment occurs off the job then a simulated working environment must be used where the range of conditions reflects realistic workplace situations. The competencies covered by this unit would be demonstrated by an individual working alone or as part of a team.
Where applicable, reasonable adjustment must be made to work environments and training situations to accommodate ethnicity, age, gender, demographics and disability.
Access must be provided to appropriate learning and/or assessment support when required. Where applicable, physical resources should include equipment modified for people with disabilities.
Method of assessment
Assessment must satisfy the endorsed Assessment Guidelines of the MEM05 Metal and Engineering Training Package.
Assessment methods must confirm consistency and accuracy of performance (over time and in a range of workplace relevant contexts) together with application of underpinning knowledge.
Assessment methods must be by direct observation of tasks and include questioning on underpinning knowledge to ensure correct interpretation and application.
Assessment may be applied under project-related conditions (real or simulated) and require evidence of process.
Assessment must confirm a reasonable inference that competency is not only able to be satisfied under the particular circumstance, but is able to be transferred to other circumstances.
Assessment may be in conjunction with assessment of other units of competency where required.
Guidance information for assessment
Assessment processes and techniques must be culturally appropriate and appropriate to the language and literacy capacity of the candidate and the work being performed.