Study information

# Modelling of Engineering Systems - 2023 entry

MODULE TITLE CREDIT VALUE Modelling of Engineering Systems 15 ENG2009 Dr Halim Alwi (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11
DESCRIPTION - summary of the module content
This module is designed to introduce second year undergraduates to mathematical modelling techniques for engineering systems, and their implementation using scientific computing (e.g. python).

The model builds on quantitative skills developed in the first year module “Engineering Mathematics and Scientific Computing”, and puts them into practice by analysing, simulating and solving real engineering challenges in engineering systems such as mechanical systems, material science, civil structures, fluid dynamics and electronic systems.

The module uses problem based learning and uses case studies, so material will be introduced as needed in the context of engineering challenges.

AIMS - intentions of the module
1. To strengthen mathematical and computational skills for solving mathematical challenges arising in the modelling of engineering systems.

2. To acquire a large variety of analytical, numerical and mathematical techniques to be used for those engineering problems.

3. To build practical skills in translating engineering problem statements into mathematical models / questions, and then analysing, simulating and solving the problem by writing a software programme.

4. Understand the concept of analytical and numerical approximation, and learn methods to validate and test your mathematical formulation and programme.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

Discipline and Module Intended Learning Outcomes:
On successful completion of this module you should be able to:

ILO.1 - Formulate mathematical models for engineering problems and systems

ILO.2 - Understand analytical methods for solving differential equations

ILO.3 - Understand numerical methods for solving differential equations

ILO.4 - Formulate a mathematical problem into a programme

ILO.5 - Identify suitable mathematically models and critically evaluate their output

SYLLABUS PLAN - summary of the structure and academic content of the module
1. Identifying types of differential equations;
2. Mathematical modelling of engineering systems
3. Analytical solution to ordinary differential equations (ODE) - Laplace Transform and Transfer Function
4. System analysis - stability and system responses.
5. Numerical integration and simulation of ODE
6. Euler and Runga-Kutta methods for ODE  and initial value problems (IVPs);
7. Shooting Method for Boundary Value Problems and Eigenvalue Problems;
8. Solutions to Large System of Equations / Matrix Methods;
9. Numerical methods for solving Partial Differential Equations (PDEs) – e.g. Finite Difference/ Finite Element Methods;
10. Design and structuring of code;
11. Commenting and readability of code;
12. Testing, debugging and version control.

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
 Scheduled Learning & Teaching Activities Guided Independent Study 33 117
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
 Category Hours of study time Description Scheduled Learning & Teaching Activities 11 Tutorial Scheduled Learning & Teaching Activities 22 Lecture Guided Independent Study 117 Independent study

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams 50 50
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Exam 50 2 hours (Winter) 1, 2, 3, 5 Via SRS
Coursework - Modelling Challenge 50 3 hours - Report + Python programme 1, 2, 3, 4, 5 Via SRS

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-reassessment
All above Exam (100% - 2 hours) 1-5 Referral/deferral period

RE-ASSESSMENT NOTES

Reassessment will be by a single written exam only worth 100% of the module. For deferred candidates, the mark will be uncapped. For referred candidates, the mark will be capped at 40%.

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