Assessor Resource

MEM234025A
Apply numerical methods to technology problems

Assessment tool

Version 1.0
Issue Date: May 2024


This unit applies to projects or tasks requiring numerical solutions involving numerical solutions and the solution of different types of equations by numerical methods, either manually or through use of an appropriate software package. It is suitable for paraprofessionals and technologists required to solve advanced mathematical problems in an engineering or related field, or those pursuing technologist careers and qualifications and for articulation of qualifications into degree programs.

Prior or concurrent experience in mathematics covering polynomials and differential equations is required.

This unit of competency covers the application of numerical methods in an engineering or related application. It includes numerical solutions, solutions to different equation types, and covers both the application of theory in simple calculations and the use of relevant software packages for more complex situations.

You may want to include more information here about the target group and the purpose of the assessments (eg formative, summative, recognition)

Prerequisites

Not applicable.


Employability Skills

This unit contains employability skills.




Evidence Required

List the assessment methods to be used and the context and resources required for assessment. Copy and paste the relevant sections from the evidence guide below and then re-write these in plain English.

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 numerical methods for engineering or related problems

apply the appropriate technique to the 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 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 its 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 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.


Submission Requirements

List each assessment task's title, type (eg project, observation/demonstration, essay, assingnment, checklist) and due date here

Assessment task 1: [title]      Due date:

(add new lines for each of the assessment tasks)


Assessment Tasks

Copy and paste from the following data to produce each assessment task. Write these in plain English and spell out how, when and where the task is to be carried out, under what conditions, and what resources are needed. Include guidelines about how well the candidate has to perform a task for it to be judged satisfactory.

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:

numerical solutions:

finite difference techniques

polynomial interpolation

errors:

computer arithmetic

propagation of errors

solution of non-linear equations:

fixed point and bisection method

Secant and Newton-Raphson iterative methods

convergence

solution of systems of linear equations:

Gaussian elimination

pivoting strategies

LU factorisation

Ill-conditioning

errors and residuals

iterative methods

solution of differential equations:

Euler method

Taylor and Runge-Kutta methods

convergence

Interpolation and Approximation:

polynomial interpolation

Lagrange form

Newton’s divide formula

error bound

finite difference techniques:

solution of problems in electrostatics and wave propagation

The range statement relates to the unit of competency as a whole. It allows for different work environments and situations that may affect performance. 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.

Data available

Data currently available includes:

all relevant data which is currently available within the organisation or could be readily obtained

Information required

Information required is the outcome which needs to be produced in order to solve/assist in resolving the defined problem

Numerical methods

Numerical methods may include:

one or more or any of the techniques listed under ‘required knowledge’

a related technique

Computational device

Computational devices include:

calculators with numerical methods functions

computer software packages

Appropriate action

Appropriate action may include:

taking necessary steps to obtain required data

obtaining some relevant proxy for the desired data

choosing a different numerical method/computational device which will function with available data

Appropriate technique

Appropriate technique includes:

selected numerical method which will yield required outcome

technique which is appropriate for the available data and which is relevant to the problem

Check answer

Checking answer means examining the answer to ensure it is within the range of expected logical results

Interpret answer

Interpret answer means translating the result of the numerical analysis into a form which is useable by the relevant stakeholders

Appropriate communication

Appropriate communication may include:

report

presentation

verbal communication

web-based

electronic or hard copy

Check outcome

Check outcome includes:

ensuring that the result of the analysis does assist in the resolution of the problem

Copy and paste from the following performance criteria to create an observation checklist for each task. When you have finished writing your assessment tool every one of these must have been addressed, preferably several times in a variety of contexts. To ensure this occurs download the assessment matrix for the unit; enter each assessment task as a column header and place check marks against each performance criteria that task addresses.

Observation Checklist

Tasks to be observed according to workplace/college/TAFE policy and procedures, relevant legislation and Codes of Practice Yes No Comments/feedback
Identify a problem requiring application of numerical methods 
Define the problem 
Determine data currently available for analysis 
Identify ways of obtaining other required data 
Determine information required from outcome 

Forms

Assessment Cover Sheet

MEM234025A - Apply numerical methods to technology problems
Assessment task 1: [title]

Student name:

Student ID:

I declare that the assessment tasks submitted for this unit are my own work.

Student signature:

Result: Competent Not yet competent

Feedback to student

 

 

 

 

 

 

 

 

Assessor name:

Signature:

Date:


Assessment Record Sheet

MEM234025A - Apply numerical methods to technology problems

Student name:

Student ID:

Assessment task 1: [title] Result: Competent Not yet competent

(add lines for each task)

Feedback to student:

 

 

 

 

 

 

 

 

Overall assessment result: Competent Not yet competent

Assessor name:

Signature:

Date:

Student signature:

Date: