Required skills

Required skills include

analysing engineering applications to determine relevant calculus techniques

applying relevant differentiation and integration concepts and tools to engineering applications

using appropriate software andor scientific calculators to generate solutions to statistical and probabilityrelated engineering problems

using differentiation to find rates of change

applying special calculus techniques to solve more complex integrals such as

method of substitution

using trigonometric identities

identifying and solving simple first and second order differential equations

identifying key points to find constants of integration

finding integrals of algebraic trigonometric and exponential functions

establishing appropriate procedures for checking and validating solutions

logical layout and presentation of data developed using calculus

reporting and effectively communicating the results of calculusbased analysis

Required knowledge

Required knowledge includes

identifying appropriate limits and applying to engineering problems beingsolved with calculus techniques

identifying appropriate limits and applying to engineering problems beingsolved with calculus techniques

differentiation rules and techniques

partial differentiation

relationship between differentiation and attributes of mathematical curves and graphs

optimisation of variables based on maximum and minimum values of mathematical curves and graphs

integration as the reverse of differentiation

integration rules and techniques

the definite integral

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 calculus techniques to engineering and 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 mathematical problems related to engineering and manufacturing using calculus techniques

validate results of mathematical problems using calculus either analytically andor graphically

manipulate engineering and manufacturingrelated mathematical functions and equations using calculus techniques

analyse mathematical problems by using appropriate calculus techniques to achieve engineering and manufacturing solutions

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 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 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 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

Engineering applications related to calculus techniques in this unit

Scope of calculus techniques