MEC2101 : Numerical and Analytical Methods A
- Offered for Year: 2017/18
- Module Leader(s): Dr Kheng-Lim Goh
- Owning School: Engineering
- Teaching Location: Singapore
|Semester 1 Credit Value:||10|
|Semester 2 Credit Value:||10|
For students who have studied engineering mathematics previously, to develop aware and confident users of numerical and analytical tools for:
- introduction to mathematical modelling;
- statistical methods for process control;
- ordinary differential equation modelling;
- operational research.
Outline Of Syllabus
1. Introduction to mathematical modelling:
- Problem solving: expressing simple mathematical models eg ODE's, through software.
Introduction to optimization problems – linear programming.
2. Statistical methods for process control:
- Data Properties: probability, distributions, descriptive statistics, data
sampling and evaluation
- Statistical Inference: sampling distributions, confidence interval, measurement uncertainty
and manufacturing tolerancing, one and two sample problems.
- Regression analysis and ANOVA.
3. Vibration and control system analysis:
- Systems of linear equations (eigenvalues and eigenvectors).
- Phase-plane and stability (self-excitation).
- Laplace Transforms,Fourier series.
|Guided Independent Study||Assessment preparation and completion||40||0:30||20:00||Recommended revision for exams, assuming prior regular independent study throughout teaching|
|Scheduled Learning And Teaching Activities||Lecture||74||1:00||74:00||Structured presentation of syllabus may include skills demonstration, formative feedback, etc|
|Guided Independent Study||Assessment preparation and completion||1||1:30||1:30||End of Semester 2 Exam|
|Guided Independent Study||Assessment preparation and completion||1||1:00||1:00||End of Semester 1 Exam|
|Guided Independent Study||Assessment preparation and completion||4||7:30||30:00||Target non-timetable hours to complete coursework assignment submissions|
|Guided Independent Study||Independent study||20||3:00||60:00||Unsupported computer time.|
|Guided Independent Study||Independent study||1||13:30||13:30||Recommended regular personal study throughout teaching period to follow up taught classes|
Teaching Rationale And Relationship
- 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.
The format of resits will be determined by the Board of Examiners
|Written Examination||60||1||A||20||Vibration and control: Introduction to modelling.|
|Written Examination||90||2||A||30||Statistical methods: Operational Research.|
|Report||2||M||20||Statistical methods project (max 7.5 hours)|
|Report||1||M||15||Vibration and control project (max 7.5 hours), or quiz.|
|Report||2||M||5||Operational research project (max 7.5 hours).|
|Report||1||M||10||Mathematical modelling project (max 7.5 hours).|
Assessment Rationale And Relationship
This module focus is on building awareness and confidence in the use of mathematical and statistical tools embodied in proprietory software, so all assessment is by a series of software-based case-study assignments addressing typical manufacturing engineering problems.