Module Catalogue

MEC3101 : Numerical and Analytical Methods B

  • Offered for Year: 2017/18
  • Module Leader(s): Dr Kheng-Lim Goh
  • Owning School: Engineering
  • Teaching Location: Singapore
Semesters
Semester 1 Credit Value: 15
ECTS Credits: 8.0

Aims

The module will consist of three strands:
- system modelling and identification
- numerical partial differential equation modelling
- optimisation
complemented by software to address application in these areas of study

Outline Of Syllabus

1. System modelling and identification:
- Design of Experiments: factorial experiments, multiple linear regression
- System identification: e.g. time series analysis.

2. Continuum mechanics modelling:
- Numerical computation and optimisation algorithms
- Numerical analysis of ordinary differential equations for initial value problems
- Physical models described by partial differential equations using finite difference

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Guided Independent StudyAssessment preparation and completion12:002:00End of Semester examination.
Guided Independent StudyAssessment preparation and completion111:0011:00Target non-timetable hours to complete coursework assignment submission
Guided Independent StudyAssessment preparation and completion300:3015:00Recommended revision for exams, assuming prior regular independent study throughout teaching
Scheduled Learning And Teaching ActivitiesLecture521:0052:00Structured presentation of syllabus may include skills demonstration, formative feedback, etc
Guided Independent StudySkills practice203:0060:00Unsupported computer time.
Total140:00
Teaching Rationale And Relationship

Lectures:
- convey the underlying mathematical principles
- illustrate engineering applications of these, and
- brief the software-based case-study explanations.

Workshops provide support for the case-study initial modelling, model software implementation and model application phases.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Exams
Description Length Semester When Set Percentage Comment
Written Examination1201A50
Other Assessment
Description Semester When Set Percentage Comment
Report1M25Statistical methods project (max12 hours each).
Report1M25Heuristic optimisation project (max 12 hours).
Assessment Rationale And Relationship

This module focus is on building awareness and confidence in the use of mathematical and statistical tools for typical manufacturing engineering problems.

In order to obtain a passing mark overall for this module (40%) at the first attempt the minimum acceptable mark for each of the assessment items specified below shall be 30%, with the maximum possible module overall mark where this is not the case being restricted to 35% (Undergraduate Progress Regulations 30):

(1) 50% written examination

(2) 50% coursework assignments

Reading Lists

Timetable