Module Title:   Computer Modelling Techniques

Module Credit:   10

Module Code:   ENG2028M

Teaching Period:   Semester 2

Module Occurrence:   A

Module Level:   FHEQ Level 5

Module Type:   Standard module

Provider:   Engineering

Related Department/Subject Area:   Engineering: Mathematics and Computing (not in use)

Principal Co-ordinator:   Dr ME Honnor

Prerequisite(s):   None

Corequisite(s):   None

Aims:
To provide students with fundamental tools for building mathematical models of engineering and technology problems with appropriate generic computer implementations of relevant numerical solution (simulation) techniques.

Learning Teaching & Assessment Strategy:
Concepts, principles & theories explored in formal lectures, practiced & demonstrated in laboratory classes. Practical skills developed in laboratory sessions. Cognitive & personal skills developed in problem solving exercises. Oral feedback is given during labs. Substantive classroom lab-based activity will assess the application of practical skills to the knowledge base of the module.

 Study Hours: Lectures: 14.00 Directed Study: 64.00 Seminars/Tutorials: 0.00 Other: 0.00 Laboratory/Practical: 22.00 Formal Exams: 0.00 Total:   100.00

On successful completion of this module you will be able to...

develop and evaluate computer models for engineering and technology problems

On successful completion of this module you will be able to...

formulate conceptual models, develop computational models by selecting appropriate numerical techniques, develop relevant software routines, display and interpret results;

On successful completion of this module you will be able to...

select and apply scientific method, data interpretation and systematic problem solving skills.

 001. Assessment Type Duration Percentage Classroom test 100% Description 1 computer based class assessment under exam conditions 900. Assessment Type Duration Percentage Classroom test 100% Description Supplementary - computer based assessment under exam conditions

Outline Syllabus:
* Technique: Nature and treatment of errors; roots of f(x) = 0 (fixed-point + Newton-Raphson); linear systems Ax = b (Gauss with pivoting, Jacobi, Gauss-Seidel); numerical calculus (interpolation, differentiation, integration - trapezoidal, Simpson; ODEs (explicit/implicit Euler, trapezium).
* Application: The modelling process, fundamental principles, transient and steady-state phenomena, initial value and boundary value problems; conceptual, mathematical and computational models, solution techniques and computer implementation; verification and validation of models; deterministic versus stochastic simulation and testing; parametric and sensitivity analysis; data fitting through linear, multiple linear and non-linear least-squares; data fit quality assessment.
* Descriptive models (e.g. structural, flow, heat/mass transfer) illustrating appropriate numerical solution methodologies (e.g. finite differences, finite elements) implemented on suitable generic software platforms (e.g. Excel, I-DEAS), and including examples of parametric and sensitivity analysis, limitations of simulation and interpretation of mathematical results as engineering solutions.
* Prescriptive models, introduction to optimisation, classification, linear constrained optimisation, graphical and simplex solution techniques, and computer tools.

Version No:  3