Unit of competency: UEENEEE126A - Provide solutions to basic engineering computational problems



Retrieved from: https://training.gov.au/Training/Details/UEENEEE126A 12/02/2020


Unit Descriptor

Unit Descriptor 

1) Scope: 


1.1) Descriptor 


This unit covers the application of computational processes to solve engineering problems. It encompasses working safely, applying problem solving techniques, using a range of mathematical processes, providing solutions to electrical/electronics engineering problems and justifying such solutions.

Typical engineering problems are those encountered in meeting requirements in a design brief, meeting performance requirements and compliance standards, revising systems operating parameters and dealing with system malfunctions




Application of the Unit

Application of the Unit 



This unit is intended to apply to any recognised development program that leads to the acquisition of a formal award at AQF level 5 or higher

Licensing/Regulatory Information

License to practice 



The skills and knowledge described in this unit do not require a license to practice in the workplace. However, practice in this unit is subject to regulations directly related to occupational health and safety and where applicable contracts of training such as apprenticeships.


Prerequisite Unit(s) 



2.1) Competencies 


Granting competency in this unit shall be made only after competency in the following unit(s) has/have been confirmed.

UEENEEE029B Solve electrotechnical problems


UEENEEG102A Solve problems in low voltage a.c. circuits


UEENEEH014B Troubleshoot frequency dependent circuits








Employability Skills Information

Employability Skills 



This unit contains Employability Skills

The required outcomes described in this unit of competency contain applicable facets of Employability Skills. The Employability Skills Summary of the qualification in which this unit of competency is packaged will assist in identifying Employability Skill requirements.


Elements and Performance Criteria Pre-Content

6) Elements describe the essential        outcomes   of a unit of competency

Performance Criteria describe the required performance needed to demonstrate achievement of the Element. Assessment of performance is to be consistent with the Evidence Guide.


Elements and Performance Criteria




Provide computational solutions to engineering problems.


OHS procedures for a given work area are obtained and understood



The nature of the problems are obtained from documentation or from work supervisor to establish the scope of work to be undertaken



Problems are clearly stated in writing and/or diagrammatic form to ensure they are understood and appropriate methods used to resolve them.



Known constants and variable related to the problem are obtained from measured values or problem documentation.



Alternative methods for resolving the problem are considered and where necessary discussed with appropriate person(s).



Problems are solved using appropriate mathematical processes and within the realistic accuracy.


Complete work and document problem solving activities


Justification for solutions used to solve engineering problems is documented for inclusion in work/project development records in accordance with professional standards.



Work completion is documented and appropriate person(s) notified.



Required Skills and Knowledge


7)  This describes the essential skills and knowledge and their level, required for this unit.

Evidence shall show that knowledge has been acquired of safe working practices and providing computational solutions to basic engineering problems.

All knowledge and skills detailed in this unit should be contextualised to current industry practices and technologies.

KS01-EE126A Electrotechnology engineering maths 

Evidence shall show an understanding of electrotechnology engineering maths to an extent indicated by the following aspects:

T1 Rational, irrational numbers and basic algebra

·         simplification of expressions involving square roots and cube roots

·         scientific and engineering notation

·         evaluation of expressions using a calculator

·         convert units of physical quantities using unity brackets

·         substitute given values into formulae to find physical quantities

·         manipulate algebraic expressions using mathematical operations in their correct order, the laws of indices, expansion of brackets and collecting like terms

T2 Algebraic manipulation

·         Factorise algebraic expressions using common factors

·         Factorise quadratic expressions using trial and error on the factors of the coefficients

·         Simplify algebraic fractions using common denominators and cancelling

·         Solve simple one variable equations including algebraic fractions

·         Find the quotient and remainder given a linear divisor.

·         Transpose formulae to find a required variable.

T3 Laws of indices

·         Conversion between decimal notation, scientific notation and engineering notation

·         Laws of indices: positive /negative values, multiplication/division, fractional values, index equals zero

·         Logarithmic laws: multiply/divide

·         solution of exponential equations using logarithms, substitution and solution of relevant formulae involving exponents or logarithms

·         Graphs of exponential functions, 10x and ex and the inverses log10(x) and loge(x) functions on log-linear graphs

·         Convert numbers into scientific and engineering notation using the laws of indices

·         Manipulate and simplify arithmetic and algebraic expressions using the laws of indices and logarithms

·         Express logarithms as indices.

·         Perform logarithmic operations.

·         Determine logarithms and antilogarithms to base 10, using a scientific calculator.

·         Determine logarithms and antilogarithms to base e, using a scientific calculator.

·         Convert logarithmic values from base 10 to base e and vice versa.

·         Sketch given functions on log-linear graphs

T4 Estimations, errors and approximations

·         Errors in measurement

·         Maximum probable error

·         Show awareness of errors in measurement and of giving results in appropriate number of significant figures

·         Use estimations and approximations to check the reasonableness of results.

T5 Plane figures – triangles and basic trigonometry

·         Angles in a triangle

·         Isosceles and equilateral triangles

·         Congruent triangles

·         Similar triangles

·         Pythagoras' theorem

·         Area of triangles

·         Basic trigonometry functions

·         Degrees, radians

·         The ratios: sin, cos, tan, cosec, sec, cot.

·         Inverse trig functions

·         Sine and cosine rules

T6 Plane figures - quadrilaterals and circles

·         Types and properties of quadrilaterals

·         Areas and perimeters of regular quadrilaterals

·         Lengths of arcs

·         Angles in a circle - degrees

·         Angles in a circle - radians

·         Lengths of chord segments

·         Tangents to circles

·         Circumference and area of circles

·         Names and characteristics of common polygons

T7 Graphs of Trigonometric functions

·         Graph trigonometric functions and solve trigonometric equations.

·         Simplify trigonometric expressions using trigonometric identities

·         Convert angular measure in degrees to radians and vice versa

·         Graph trigonometric functions including graphs of y = sin x and y = cos x

·         Using vocational applications of current or voltage as a function of time, consider changes in amplitude, consider changes in frequency.

·         Examine relationships of frequency, period and angular velocity.

·         Sketch graphs of the form f(t) = a sin φt and f(t) = a cos φt, where a is the peak voltage or current, and φ is the angular velocity

·         Solve graphically equations of the form f(t) = a sin φt and f(t) = a cos φt

·         Show a positive or negative angle on the unit circle.

·         Use symmetry properties to find trigonometric ratios for angles greater than π/2.

·         Solve simple vocational problems relating period, frequency and angular velocity.

T8 Graphs of linear functions

·         The number plane

·         Gradient and x and y intercepts of a straight line

·         Equation of a straight line length and mid-point of a straight line segment

·         Function notation

T9 Simultaneous equations

·         Graphical solutions

·         Substitution

·         Elimination

·         Solve 2 linear simultaneous equations both algebraically and graphically.

T10 Matrices

·         Perform the basic operations on matrices up to 3 x 3

·         Manipulate matrix equations and expressions

·         Recognise inverse and identity matrices up to 3 x 3 and use to solve systems of linear equations.

·         Find determinants up to 3 x 3 and use to solve systems of linear equations.

·         Solve problems involving more than two simultaneous equations.

·         State the limitations of graphical methods of solution.

·         Distinguish between a matrix and an array.

·         Describe the null, diagonal and unit matrix

·         Describe and identify a singular/non-singular matrix

T11 Quadratic functions

·         Graphs of quadratic functions represented by parabolas and the significance of the leading coefficient.

·         Graph quadratic functions and solve quadratic equations.

·         Sketch and interpret the graphs of quadratic functions showing the significance of the leading coefficient and the zeros

·         Solve quadratic equations by factoring or using quadratic formula

·         Solve simultaneously linear and quadratic equations algebraically and geometrically

·         Interpret verbally formulated problems involving quadratic and linear equations and solve.

T12 Exponential and logarithmic functions

·         Transform non-linear functions (including exponential) to linear forms and plot data.

·         Draw curves of best fit, interpolate data and estimate constants in suggested relationships.

·         Interpret verbally formulated problems involving growth and decay, and solve.

·         Graph exponential and logarithmic functions and solve exponential and logarithmic equations.

·         Sketch the graphs of simple exponential and logarithmic functions showing behaviour for large and small values

T13 Vectors and Phasors

·         The vector as an expression of magnitude and direction

·         The vector sum of x and y values in terms of magnitude and direction

·         Rectangular components of vectors in the form x = r cos θ and y = r sin θ

·         Rectangular-polar and polar-rectangular conversion

·         Vector addition and subtraction

·         Express rectangular components of vectors in the form x = r cos θ and y = r sin θ

T14 Complex numbers

·         Definitions and notation of complex numbers

·         Complex numbers as vectors on an Argand diagram

·         laws of complex numbers and apply the laws in suitable calculations.

·         Plot complex numbers on the Argand plane.

·         Express vectors as complex numbers and perform suitable calculations.

·         Calculate the conjugate of a complex number.

·         Using a calculator for rectangular-polar and polar-rectangular conversions.

Software/Hardware Used