US2

Definition
Knowledge and understanding of mathematical principles necessary to underpin their education in engineering discipline and to enable them to apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems.

Sub skills
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Assessment
Current methods used to assess ability in the skill.

Benchmarks
 CORE 

A-level Mathematics (admissions requirement) or Foundation Year Mathematics (at least 50% for progression to Stage 1).

Maths and Programming

Display knowledge of a range of mathematical methods and be familiar with a number of basic formulae, relationships and their application; identify the appropriate mathematical tools required to solve a range of problems involving single-variable algebra and calculus; apply those methods, and carry out the associated calculations and manipulations required to work towards a solution.

Analogue Electronics

Use a range of mathematical techniques for the analysis of dynamic systems, networks and multiple input and output systems.

Signals & Systems

Understand the use of calculus for two- and three-dimensional problems. Evaluate total derivatives and multiple integrals in two or more variables. Change variables and transform the way in which a multidimensional problem is viewed.

Advanced Analogue Electronics

Introduction to Vector calculus. Div, grad, curl. Poisson’s and Laplace's Equations. Maxwell’s Equations. Vector wave equation.

 NON-CORE 

Links, Networks and Protocols

Have developed the skills to analyse and interpret the results of Monte-Carlo simulations.

Introduction to the Internet and Numerical Methods

Describe, understand and implement a range of numerical methods, indicating their strengths, weaknesses and areas of application. Data Structures & Algorithms and

Numerical Methods

Describe, understand and implement a range of numerical methods, indicating their strengths, weaknesses and areas of application.

Further Analogue Electronics

Calculate the frequency response of amplifiers. Understand dominant pole compensation in amplifiers.

Control Engineering

Apply the Laplace transform in the development of transfer functions for a range of simple dynamic systems.

Modern & Digital Control

Convert between transfer function, time-domain and state-space representations, be able to carry out calculations and manipulations in state-space format, be able to relate the theoretical equations to physical block (simulation) diagrams and be able to design multivariable feedback control systems to given requirements in state-space form. Analyse the properties of hybrid control systems, involving a mixture of samplers, data holds and system units, be able to derive and calculate the appropriate discrete transfer function for a given system configuration and be able to calculate Z-transforms and inverse Z-transforms.

Digital Engineering

Analyse algorithms and identify strategies for their implementation on microprocessor-based systems.

Mobile Communications Systems

The Erlang and Engset distributions, Poisson statistics and Self-Similarity.

Analogue & Digital Filters

Calculate the order and type of filter based on specifications.

Antennas and Propagation

Understand the problems of interference and fading, and be familiar with (and able to use to calculate fading probabilities) a two-ray model and Rayleigh model.

Flight Control

Understand and describe the fundamental behaviour of the longitudinal and lateral dynamics of a fixed-using aircraft.

Nanoelectronics

Describe the superposition of eigenfunctions and probability densities.

Modems

Calculate the power spectrum of a random baseband data waveform. Calculate the bandwidths of Nyquist filtered signals. Calculate the BER of a baseband data transmission system. Design or choose a matched filter and receiver. Calculate the bit error rate of several common modulation schemes in the presence of Gaussian noise. Be able to specify and evaluate the performance of wireless modems.

Relevant Higher Level Skills
Electrical Engineering