21776 version 2
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Apply knowledge of calculus and data analysis for mechanical
engineering
Level
4
Credits
15
Purpose
People credited with this unit standard are able to apply knowledge of:
differentiation to solve mechanical engineering problems; integration to solve
mechanical engineering problems; and data analysis used in mechanical
engineering.
Subfield
Mechanical Engineering
Domain
Applied Principles of Mechanical Engineering
Status
Registered
Status date
27 October 2005
Date version published
19 March 2010
Planned review date
31 December 2015
Entry information
Recommended: Unit 21775, Demonstrate knowledge of
mathematical principles for mechanical engineering, or
demonstrate equivalent knowledge and skills.
Accreditation
Evaluation of documentation and visit by NZQA.
Standard setting body (SSB)
Competenz
Accreditation and Moderation Action Plan (AMAP) reference
0013
This AMAP can be accessed at http://www.nzqa.govt.nz/framework/search/index.do.
Special notes
1
All activities must comply with: any policies, procedures, and requirements of the
organisations involved; the ethical codes and standards of relevant professional
bodies; and any relevant legislative and/or regulatory requirements which may
include but are not limited to the Health and Safety in Employment Act 1992, and its
subsequent and delegated legislation.
2
Computers and/or non-programmable calculators may be used.
 New Zealand Qualifications Authority 2016
21776 version 2
Page 2 of 3
Elements and performance criteria
Element 1
Apply knowledge of differentiation to solve mechanical engineering problems.
Performance criteria
1.1
The concept of differentiation and its applications are described.
1.2
Graphs are used to illustrate and solve differentiation problems.
1.3
Differentiation techniques are applied to solve engineering problems.
Range
techniques include but are not limited to – rates of change,
maxima/minima problems, Newton-Raphson method for non-linear
equations.
Element 2
Apply knowledge of integration to solve mechanical engineering problems.
Performance criteria
2.1
Integration techniques and their applications are described.
Range
use of standard integrals, integration by parts (first and second
order), substitution, partial fractions;
evidence of three techniques is required.
2.2
Graphs are used to illustrate and solve integration problems.
2.3
Integration techniques are applied to solve engineering problems.
Range
techniques may include but are not limited to – Simpsons’ rule,
differential equations to first order, areas, volumes, RMS, mean
value, moments, centroids;
evidence of four techniques is required.
Element 3
Apply knowledge of data analysis used in mechanical engineering.
Performance criteria
3.1
Appropriate functions are derived to fit given data sets.
Range
techniques – polynomial, logarithmic, exponential;
evidence is required using two techniques.
 New Zealand Qualifications Authority 2016
21776 version 2
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3.2
Correlation and simple linear regression techniques are applied to given data,
and interpretations and predictions are made.
Range
techniques – polynomial, logarithmic, exponential;
evidence is required using two techniques.
Please note
Providers must be accredited by NZQA, or an inter-institutional body with delegated
authority for quality assurance, before they can report credits from assessment against
unit standards or deliver courses of study leading to that assessment.
Industry Training Organisations must be accredited by NZQA before they can register
credits from assessment against unit standards.
Accredited providers and Industry Training Organisations assessing against unit standards
must engage with the moderation system that applies to those standards.
Accreditation requirements and an outline of the moderation system that applies to this
standard are outlined in the Accreditation and Moderation Action Plan (AMAP). The
AMAP also includes useful information about special requirements for organisations
wishing to develop education and training programmes, such as minimum qualifications for
tutors and assessors, and special resource requirements.
Comments on this unit standard
Please contact Competenz info@competenz.org.nz if you wish to suggest changes to the
content of this unit standard.
 New Zealand Qualifications Authority 2016