MEM23008 — Apply advanced algebra and numerical methods to engineering tasks

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What an assessment for MEM23008 must cover

55 assessable components: 3 elements (11 performance criteria), 7 performance evidence and 37 knowledge evidence requirements. An audit-defensible tool maps every question and task back to these — that mapping is the coverage matrix Auditori generates alongside the assessment.

Elements & performance criteria

1 Determine scope of advanced mathematics and numerical methods required for an engineering application

1.1Analyse an engineering application for required advanced mathematics or numerical methods tasks
1.2Develop systematic methods for layout and solution validation, including any required sign-off of solution
1.3Identify advanced mathematics or numerical methods and any software required for analysis and resolution of identified engineering application tasks

2 Apply advanced mathematics techniques to engineering applications

2.1Apply advanced mathematics concepts and models to solve engineering or manufacturing problems
2.2Check answer by appropriate means
2.3Interpret answer to determine information required by problem definition
2.4Report results and document calculations, graphs and analysis

3 Apply numerical methods to engineering applications

3.1Apply numerical methods concepts and models to solve engineering problems
3.2Check solution is laid out in a correct manner and is error free
3.3Review solution to ensure it provides information relevant to resolution of engineering application task
3.4Report results and document calculations, graphs and analysis

Performance evidence

determining relevant algebra and numerical methods to apply to engineering applications
solving engineering problems using advanced mathematics and numerical methods on at least two occasions
using appropriate software and/or scientific calculators to generate solutions to algebra and numerical methods problems
validating results of simple examples using advanced mathematics and numerical methods either analytically and/or graphically using appropriate software or scientific calculators
assisting decision-making processes in industry by analysing data using advanced mathematics and numerical methods concepts and tools on at least two occasions
communicating the results of advanced mathematics and numerical methods-based analysis.
Note: Where a volume and/or frequency is not specified, demonstration must be provided at least once.

Knowledge evidence

vectors including: vectors in 3D
vectors including: i, j and k notation
vectors including: magnitude of a vector
vectors including: unit vectors and direction angles
vectors including: scalar or ‘dot’ product of two vectors
vectors including: vector or ‘cross’ product of two vectors
vectors including: resolution of vectors
vectors including: differentiation and integration of vectors
dynamics including: Newton’s Laws of Motion
dynamics including: energy, work and power
dynamics including: work-energy theorem
dynamics including: moment of a force
analytical geometry including: equation of a plane
analytical geometry including: angle between two planes
analytical geometry including: distance from a point to a plane
analytical geometry including: lines in 3D space
graphing techniques including: coordinate geometry
graphing techniques including: graphs of exponential growth and decay
graphing techniques including: graphs with logarithmic scales
graphing techniques including: method of least squares
graphing techniques including: polar coordinates and polar graphs
graphing techniques including: graphs of functions of two variables
graphing techniques including: quadric surfaces
complex numbers including: introduction to complex numbers
complex numbers including: Cartesian form
complex numbers including: the Argand plane
complex numbers including: trigonometric and polar form
linear algebra including: matrix algebra
linear algebra including: transformations
linear algebra including: determinants
numerical solutions including finite difference techniques
errors including: computer arithmetic
errors including: propagation of errors
interpolation and approximation including: polynomial interpolation
interpolation and approximation including: Lagrange form
interpolation and approximation including: Newton’s divide formula
interpolation and approximation including: error bound.

Unit content sourced from training.gov.au — © Commonwealth of Australia, licensed under CC BY 4.0. Auditori is not affiliated with the Department of Employment and Workplace Relations.

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Questions about assessing MEM23008

What does an assessment tool for MEM23008 need to cover?

To satisfy the Principles of Assessment and Rules of Evidence, an assessment for MEM23008 needs to address all 55 unit components: 3 elements with 11 performance criteria, 7 performance evidence requirements, 37 knowledge evidence requirements, and the foundation skills. A coverage matrix mapping each question and task to these components is what an auditor looks for.

How does Auditori generate an assessment tool for MEM23008?

Auditori pulls the current release of MEM23008 from training.gov.au and generates a complete package: candidate assessment, assessor guide with model answers and observation criteria, and a coverage matrix mapping every component. A suitably qualified person then reviews and approves the draft in a built-in workflow — consistent with ASQA's guidance on AI use in VET — before export as branded PDF and editable Word.

Is the first assessment tool really free?

Yes. Every new account includes one free credit — enough to generate the complete assessment tool for MEM23008 — with no card and no subscription required. After that it's pay-as-you-go per unit.

Can I check my existing MEM23008 assessment instead of generating a new one?

Yes — upload your existing assessment or learner guide and Auditori maps it against every element, performance criterion, PE and KE of MEM23008, showing exactly what's covered and what's missing. Mapping costs a quarter of a credit.

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