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

KSEEA Electrotechnology engineering maths

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

T 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

T 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

T Laws of indices

Conversion between decimal notation scientific notation and engineering notation

Laws of indices positive negative values multiplicationdivision fractional values index equals zero

Logarithmic laws multiplydivide

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

Graphs of exponential functions x and ex and the inverses logx and logex functions on loglinear 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 using a scientific calculator

Determine logarithms and antilogarithms to base e using a scientific calculator

Convert logarithmic values from base to base e and vice versa

Sketch given functions on loglinear graphs

T 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

T 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

T 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

T 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 ft a sin t and ft a cos t where a is the peak voltage or current and is the angular velocity

Solve graphically equations of the form ft a sin t and ft a cos t

Show a positive or negative angle on the unit circle

Use symmetry properties to find trigonometric ratios for angles greater than

Solve simple vocational problems relating period frequency and angular velocity

T Graphs of linear functions

The number plane

Gradient and x and y intercepts of a straight line

Equation of a straight line length and midpoint of a straight line segment

Function notation

T Simultaneous equations

Graphical solutions

Substitution

Elimination

Solve linear simultaneous equations both algebraically and graphically

T Matrices

Perform the basic operations on matrices up to x

Manipulate matrix equations and expressions

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

Find determinants up to x 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 singularnonsingular matrix

T 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

T Exponential and logarithmic functions

Transform nonlinear 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

T 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 and y r sin

Rectangularpolar and polarrectangular conversion

Vector addition and subtraction

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

T 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 rectangularpolar and polarrectangular conversions

The evidence guide provides advice on assessment and must be read in conjunction with the Performance Criteria Required Skills and Knowledge the Range Statement and the Assessment Guidelines for this Training Package

The Evidence Guide forms an integral part of this unit It must be used in conjunction with all parts of the unit and performed in accordance with the Assessment Guidelines of this Training Package

Overview of Assessment

Longitudinal competency development approaches to assessment such as Profiling require data to be reliably gathered in a form that can be consistently interpreted over time This approach is best utilised in Apprenticeship programs and reduces assessment intervention It is the industrypreferred model for apprenticeships However where summative or final assessment is used it is to include the application of the competency in the normal work environment or at a minimum the application of the competency in a realistically simulated work environment It is recognised that in some circumstances assessment in part or full can occur outside the workplace However it must be in accordance with industry and regulatory policy

Methods chosen for a particular assessment will be influenced by various factors These include the extent of the assessment the most effective locations for the assessment activities to take place access to physical resources additional safety measures that may be required and the critical nature of the competencies being assessed

The critical safety nature of working with electricity electrical equipment gas or any other hazardous substancematerial carries risk in deeming a person competent Sources of evidence need to be rich in nature to minimise error in judgment

Activities associated with normal everyday work have a bearing on the decision as to how much and how detailed the data gathered will contribute to its richness Some skills are more critical to safety and operational requirements while the same skills may be more or less frequently practised These points are raised for the assessors to consider when choosing an assessment method and developing assessment instruments Sample assessment instruments are included for Assessors in the Assessment Guidelines of this Training Package

Critical aspects of evidence required to demonstrate competency in this unit

Before the critical aspects of evidence are considered all prerequisites must be met

Evidence for competence in this unit shall be considered holistically Each element and associated performance criteria shall be demonstrated on at least two occasions in accordance with the Assessment Guidelines UEE Evidence shall also comprise

A representative body of work performance demonstrated within the timeframes typically expected of the discipline work function and industrial environment In particular this shall incorporate evidence that shows a candidate is able to

Implement Occupational Health and Safety workplace procedures and practices including the use of risk control measures as specified in the performance criteria and range statement

Apply sustainable energy principles and practices as specified in the performance criteria and range statement

Demonstrate an understanding of the essential knowledge and associated skills as described in this unit It may be required by some jurisdictions that RTOs provide a percentile graded result for the purpose of regulatory or licensing requirements

Demonstrate an appropriate level of skills enabling employment

Conduct work observing the relevant Anti Discrimination legislation regulations polices and workplace procedures

Demonstrated consistent performance across a representative range of contexts from the prescribed items below

Provide computational solutions to basic engineering problems as described in and including

A

Clearly stating problems in written and diagrammatic form

B

Obtaining known constants and variable from an appropriate source

C

Solving problems using appropriate mathematical processes

D

Documenting justification of solutions provided in accordance with professional standards

E

Dealing with unplanned events by drawing on essential knowledge and skills to provide appropriate solutions incorporated in a holistic assessment with the above listed items

Context of and specific resources for assessment

This unit should be assessed as it relates to normal work practice using procedures information and resources typical of a workplace This should include

OHS policy and work procedures and instructions

Suitable work environment facilities equipment and materials to undertake actual work as prescribed in this unit

These should be used in the formal learningassessment environment

Note

Where simulation is considered a suitable strategy for assessment conditions for assessment must be authentic and as far as possible reproduce and replicate the workplace and be consistent with the approved industry simulation policy

The resources used for assessment should reflect current industry practices in relation to providing computational solutions to basic engineering problems

Method of assessment

This unit shall be assessed by methods given in Volume Part Assessment Guidelines

Note Competent performance with inherent safe working practices is expected in the Industry to which this unit applies This requires that the specified essential knowledge and associated skills are assessed in a structured environment which is primarily intended for learningassessment and incorporates all necessary equipment and facilities for learners to develop and demonstrate the essential knowledge and skills described in this unit

Note:
Competent performance with inherent safe working practices is expected in the Industry to which this unit applies. This requires that the specified essential knowledge and associated skills are assessed in a structured environment which is primarily intended for learning/assessment and incorporates all necessary equipment and facilities for learners to develop and demonstrate the essential knowledge and skills described in this unit.

Concurrent assessment and relationship with other units

There are no concurrent assessment recommendations for this unit