Google Links

Follow the links below to find material targeted to the unit's elements, performance criteria, required skills and knowledge

Elements and Performance Criteria

1. Use advanced engineering mathematics for a range of complex engineering solutions
   • Solve mathematical functions using complex trigonometric ratios
   • Solve mathematical functions using manipulation of matrices and determinants to perform standard calculations
   • Solve trigonometric functions using operations on complex numbers
   • Solve complex functions using integral and differential calculus
   • Solve mathematical functions using ordinary differential equations (ODE)
   • Solve mathematical equations using Laplace transforms
   • Solve mathematical problems using algorithmic control structures
   • Use software simulations where possible to produce simulated calculations for a range of engineering solutions
   • Analyse results from the simulated solution and compare to the derived solutions to adjust any variables in the calculation process
2. Design a simulation control system with queues
   • Design a simple control system using simulation software
   • Design a queuing system using simulation software
   • Design a stochastic system using simulation software
   • Document and present all numerical software simulations for the engineering problems

Performance Evidence

Evidence of ability to:

solve a range of complex mathematical functions related to telecommunications engineering

use software systems to produce simulations of mathematical solutions

analyse results of software simulations

design telecommunications systems using software simulations

document and present software solutions for engineering problems.

Note: If a specific volume or frequency is not stated, then evidence must be provided at least once.

---

Knowledge Evidence

To complete the unit requirements safely and effectively, the individual must:

analyse and manipulate functions using symbolic and numerical software, including operations of entering and manipulating polynomials in suitable software and then substitution of values and graphing

analyse and manipulate matrices and determinants, numerically with and without symbolic and numerical software

design and debug programs using algorithmic control structures and output results to the screen, a graph and a file

analyse and manipulate complex numbers numerically and with symbolic software

determine and manipulate equations using advanced calculus operations of differentiation and integration numerically and with symbolic software

determine and manipulate equations of the type called ordinary differential equations (ODE) met in telecommunications engineering applications numerically and with symbolic software

determine and manipulate Laplace transforms met in telecommunications engineering applications numerically and with symbolic software

design a simulation control system and simulate queues using software.

---