# Engineering

## ECMM121 - Engineering Systems Analysis (2010)

MODULE TITLE CREDIT VALUE Engineering Systems Analysis 30 ECMM121 Dr Khurram Wadee (Coordinator), Dr Jacqueline Christmas
DURATION: TERM 1 2 3
DURATION: WEEKS
DESCRIPTION - summary of the module content
AIMS - intentions of the module
This module aims to provide a treatment of numerical methods, simulation and optimisation techniques for the modern practising engineer. It also highlights the use of such techniques in the solution of management related problems.
INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)
SYLLABUS PLAN - summary of the structure and academic content of the module
Introduction to numerical methods: Approximation of functions, Taylor series, First-order approximation, Errors, Error propagation. Roots of equations: Interval bisection, the Newton-Raphson technique, the secant method, stopping criteria. Solution of linear simultaneous equations: Gaussian elimination for two, three, n equations, conditioning, determinants, Gauss-Seidel method, conditioning, convergence. Curve fitting and interpolation: Linear regression, goodness of fit, normalized residuals, change of variable, logarithmic plots, polynomial or curvilinear interpolating polynomials, linear interpolation, quadratic interpolation, Lagrange interpolating polynomial, numerical differentiation, first derivatives from Taylor series, second derivatives from Taylor series. Numerical integration: Rectangular rule, trapezium rule, Simpson's rule, multiple application of Simpson's rule. Solution of ordinary differential equations (ODEs): Initial value problems, Euler-Cauchy method, Runge-Kutta methods, second-order Runge-Kutta, fourth-order Runge-Kutta. Simulation methods (deterministic and probabilistic). Multi-objective optimisation techniques. Modern heuristics including genetic algorithms, fuzzy sets and neural networks.
LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams 30 70
DETAILS OF SUMMATIVE ASSESSMENT
DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
RE-ASSESSMENT NOTES
RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener