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The range statement relates to the unit of competency as a whole. It allows for different work environments and situations that may affect performance. Bold italicised wording, if used in the performance criteria, is detailed below. 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. |
Functions may include: | cos(x) exponential(x) ln(1+x) sin(x). |
Complex trigonometric ratios refer to: | analysing the elements of a vector 'term by term' with the operations of division, multiplication and exponentiation analysing the series expansion of functions commonly used in telecommunications engineering problems applying series expansion using Taylor and Maclaurins forms to simple formulae: polynomials exponentials logarithmic functions trigonometric functions calculating a best fit polynomial of up to degree five for a set of at least ten data points using a least square method in software calculating a line of best fit and plot the result given a set of at least ten data points using a least square method in software complex trigonometric ratios: cosh functions sinh functions tanh functions interpolating data for a curve of best fit performing calculations with a simulation package. |
Matrices and determinants refer to: | analysing row and column vectors as a special case of a general matrix applying symbolic software to perform standard calculations on a matrix calculating the co-factor of a determinant given the desired row and column calculating the eigen values and eigen vectors of a square matrix of three dimensions calculating the numerical and symbolic addition and/or subtraction of commensurable matrices calculating the numerical and symbolic inner product of commensurable row and column vectors calculating the numerical and symbolic product of a matrix by a scalar calculating the numerical product of a pair of commensurable matrices calculating the numerical value for the inverse of a square matrix converting a set of linear equations to Matrix form. |
Standard calculations may include: | determinant of a square matrix with up to 4x4 dimension eigen values and eigen vectors of a square matrix with up to 4x4 dimension solution of up to four simultaneous equations symbolic product of a pair of commensurable matrices with outer dimensions not exceeding four. |
Trigonometric functions include: | cos cosh sin sinh tan tanh. |
Operations on complex numbers refer to: | analysing the polar and rectangular forms of complex numbers calculating complex variables with basic arithmetic operations calculating the complex roots of polynomials with real coefficients up to third order calculating the results of operations on complex numbers using complex forms of trigonometric functions deriving the results for the complex operations of square root and multiple roots for up to sixth order operations on complex numbers: multiple roots powers square roots solving an engineering problem using euler equation. |
Integral and differential calculus refer to: | calculating derivatives and integrals of a single variable using standard forms and with symbolic software calculating maximum and minimum values of a differential function calculating partial derivatives using standard forms of differentiation calculating the numerical differential of an equation from the sample interval calculating the numerical integration of an equation given the sample interval differentiating implicitly defined functions by applying the chain rule and software solution integrating and evaluating double integrals that use standard forms and substitution methods integrating equations by applying integration methods. |
Ordinary differential equations (ODE) refer to: | solving first order ODE using standard methods solving first and second order ODE equations using various ODE solutions methods: applying software numerical plot with constant coefficients numerical solutions trial exponential solutions determining the unknown constants. |
Laplace transforms refer to: | calculating Laplace transforms of relevant equations using standard forms: exponential equations telecommunications related equations with polynomials up to degree two trigonometric equations calculating partial fraction expansion of linear equations of one variable with constant coefficients of second order degree or less calculating the inverse Laplace transform by arrangement, into standard forms solving a telecommunications related first order ODE using Laplace transforms numerically and with symbolic software. |
Algorithmic control structures may include: | multi-way selection (switch) post-test repetition (repeat until) pre-test repetition (Do While) program fragments that use algorithmic control structures program to output calculated results program to request data by command line prompting sequence solution expressed in an acceptable algorithmic form two-way selection (IF then Else) well structured program to obtain the solution to a given engineering problem. |
Simulated calculations may include: | manipulation of diary files plotting the results of calculations with equations: exponential logarithmic trigonometric functions script to repeat previous calculations simplification and expansion of symbolic equations and arithmetical expressions symbolic variables, constants and equations variable browsers window and command history screen variables to store appropriate data for problem solving. |
Engineering solutions may include: | antenna performance and propagation evaluation capacity predictions data analysis digital signal processing forecasting queuing systems radio networks traffic engineering. |
Simple control system is based on: | delay elements feedback loop. |
Queuing system includes: | fixed arrival times fixed processing delay single queue single server. |
Stochastic system includes: | random arrival times random processing delay single queue single server. |