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Elements and Performance Criteria

1. Apply differentiation techniques to avionic engineering applications
   • Solve avionic engineering problems using the rules of differentiation
   • Solve avionic engineering problems that are expressed in the form of differential equations
   • Solve avionic engineering problems that require the application of partial differentiation
2. Apply integration techniques to avionic engineering applications
   • Obtain integrals of algebraic, trigonometric and exponential functions and evaluate definite integrals
   • Solve avionic engineering problems using the rules of integration
3. Apply fourier analysis and laplace transforms to avionic engineering applications
   • Apply fourier analysis and laplace transforms in the analysis and design of avionic circuits
4. Communicate outcomes
   • Communicate outcome to relevant stakeholders by appropriate means
   • Explain outcome to stakeholders as appropriate
   • Check outcome has addressed problem

Range Statement

This field allows for different work environments and conditions that may affect performance. Essential operating conditions that may be present (depending on the work situation, needs of the candidate, accessibility of the item, and local industry and regional contexts) are included.
Avionic engineering applications include:	Circuit analysis relating to avionic systems and system components, including but not limited to: communications radio navigation inertial navigation pulse display automatic flight control flight management engine management Circuit analysis relating to the design, modification and update of avionic component test stands
Appropriate communication techniques include:	Reporting Publication amendment Revision of design data Presentation Verbal communication Web-based Electronic or hard copy
Check outcome includes:	Ensuring that the result of the analysis does assist in the resolution of the problem

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Performance Evidence

Evidence required to demonstrate competency in this unit must be relevant to and satisfy all of the requirements of the elements and performance criteria under the specified conditions of assessment, and must include:

identifying and defining avionic circuit analysis problems

collecting and analysing data through the application of calculus techniques

reporting and presenting data and quantitative information

communicating effectively with stakeholders on problem resolution.

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Knowledge Evidence

Evidence required to demonstrate competency in this unit must be relevant to and satisfy all of the requirements of the elements and performance criteria and include knowledge of:

differential calculus:

differentiation from first principles

differentiation by rule

differentiating derivatives of trigonometric, logarithmic and exponential functions

Newton’s method

differentiation application (turning points, intercepts, limits, symmetry, maxima and minima rates)

solving first and second order differential equations

solving problems involving partial differentiation with up to three independent variables

integral calculus:

definite integrals

indefinite integrals

integration of trigonometric, algebraic and exponential functions

integration using partial fractions

integration using improper integrals

integration by parts

integration with the aid of tables

the calculation of areas and volumes

the determination of means and root mean square

the application of double integrals to moments problems and application of double integrals in polar form

complex numbers – manipulation of complex numbers and application of De Moivre’s theorem

electronic circuit analysis using fourier analysis and laplace transforms.

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