Required skills

Required skills include

identifying and defining problems

collecting and analysing data

reporting and presenting data and quantitative information

communicating effectively with stakeholders on problem resolution

Required knowledge

Required knowledge includes

exponential trigonometric and hyperbolic functions

revision functionality and inverse functions

exponential and logarithmic functions

trigonometric and inverse trigonometric functions

hyperbolic and inverse hyperbolic functions

series

revision of arithmetic and geometric progressions

limits

linear and quadratic approximations Taylor polynomials

partial sums

geometric series

power series

Maclaurin series

vectors

vectors in dimensions

i j k notation

magnitude or modulus of a vector

unit vectors and direction angles

scalar or dot product of two vectors

vector or cross product of two vectors

resolution of vectors

differentiation and integration of vectors

dynamics

Newtons Laws of Motion

energy work and power

the workenergy theorem

moment of a force

analytical geometry

equation of a plane

the angle between two planes

the distance from a point to a plane

lines in dimensional space

graphing techniques

coordinate geometry

graphs of exponential growth and decay

graphs with logarithmic scales

method of least squares

polar coordinates and polar graphs

graphs of functions of two variables

quadric surfaces

complex numbers

introduction to complex numbers

Cartesian form

the Argand plane

trigonometric and polar form

subsets of the complex plane

De Moivres Theorem

exponential form of complex numbers

applications to mesh current network analysis

linear algebra

matrix algebra

basic operations

applications

transformations

determinants

systems of equations I

solutions and inverses

applications

systems of equations II numerical techniques

systems of equations III other systems

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

Critical aspects for assessment and evidence required to demonstrate competency in this unit

Assessors must be satisfied that the candidate can competently and consistently

identify appropriate mathematical techniques for engineering or related problems

apply the appropriate technique to the problem

check answer has addressed problem

communicate the outcome of the analysis in an appropriate way

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 that is the candidate is not in productive work then a simulated working environment must be used where the range of conditions reflects realistic workplace situations The competency 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 andor 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 MEM Metal and Engineering Training Package

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 its correct interpretation and application

Assessment may be applied under projectrelated conditions real or simulated and require evidence of process

Assessment must confirm a reasonable inference that competency is able not only 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

Data available

Information required

Mathematics

Computational device

Appropriate action

Appropriate technique

Check answer

Interpret answer

Appropriate communication

Check outcome