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 mathematical techniques in this unit
Most engineering disciplines will have applications supported by the technical mathematics skills described in this unit, including mechanical, manufacturing, maintenance and mechatronics engineering. Examples of engineering applications requiring mathematical skills described in this unit may include:
vector analysis of force systems on beams and bodies
trigonometric plots related to waveforms for amplitude, frequency and phase shift analysis
matrix and determinant solutions of vector systems or simultaneous equations
complex plane analysis of control systems for stability analysis
Scope of technical mathematical techniques
The scope of technical mathematical techniques required for an engineering application will vary and may include:
standard mathematical software
decimal, binary and hexadecimal number systems
graph exponential and logarithmic functions required for the engineering application
solve trigonometric equations involving single and double angles
solve problems using simple binomials and polynomials
solve problems involving simple sequences and series in the engineering application
analyse two dimensional vectors
analyse complex numbers and represent graphically
analyse simple algebraic and vectorial problems using determinants and matrices
evaluate probability as a predictive tool in simple situations
Number system
Number systems may include:
decimal
binary
hexadecimal

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 mathematical analysis, graphical and software techniques to engineering-related problems within the context of delegations and other checking 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 mathematical problems using software
validate software results of simple examples analytically and/or graphically
manipulate values using decimal, binary and hexadecimal number systems
graph and analyse exponential, logarithmic and trigonometric functions for solutions
use the techniques of sequences and series to solve simple mathematical problems
use the techniques of two dimensional vectors to solve mathematic and applied problems
solve problems involving complex quantities using the properties, operations and theorems of complex numbers
use determinant and matrix analysis to solve algebraic and vectorial problems
use probability to assess likely occurrences.
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.