Module Descriptors
MATHEMATICAL MODELLING AND OPERATIONAL RESEARCH
MATH50300
Key Facts
School of Digital, Technologies and Arts
Level 5
30 credits
Contact
Leader: Martin Paisley
Email: M.F.Paisley@staffs.ac.uk
Hours of Study
Scheduled Learning and Teaching Activities: 72
Independent Study Hours: 228
Total Learning Hours: 300
Assessment
- COURSEWORK weighted at 50%
- CLASS-TEST weighted at 50%
Module Details
Module Indicative Content
Mathematical Modelling:
Modelling methodology and the modelling process.
Deterministic and stochastic models.
Simulation modelling.
Modelling with differential equations.
Operational Research:
Linear Programming, graphical and Simplex methods.
Transportation and Assignment problems.
Network Models - shortest path and maximum flow algorithms.
Project management problems - critical path analysis, time/cost analysis.
Dynamic programming.
Use of appropriate computer package(s).
Modelling methodology and the modelling process.
Deterministic and stochastic models.
Simulation modelling.
Modelling with differential equations.
Operational Research:
Linear Programming, graphical and Simplex methods.
Transportation and Assignment problems.
Network Models - shortest path and maximum flow algorithms.
Project management problems - critical path analysis, time/cost analysis.
Dynamic programming.
Use of appropriate computer package(s).
Module Additional Assessment Details
50% coursework based on the mathematical modelling content covering learning outcomes 1 - 4 and consisting of two parts. The first (weighted at 20%) is a group project assessed by a peer assessed 15 minute group presentation and tutor assessed individual 1000 word report. The second (weighted at 30%) is an individual mathematical based project.
50% test based on the operational research content covering learning outcomes 1 - 3:
Consisting of two tests each of length 1.5 hours and weight 25%.
The coursework will be the final assessment point
50% test based on the operational research content covering learning outcomes 1 - 3:
Consisting of two tests each of length 1.5 hours and weight 25%.
The coursework will be the final assessment point
Module Learning Strategies
The material will be introduced over 72 hours consisting of 42 hours of lectures and 30 hours tutorial/practicals. The mathematical modelling content will usually be delivered as 2 lectures and 1 practical per week for the first 9 weeks, and 3 practicals per week for the final 3 weeks. The operational research content will usually be delivered as 2 lectures and 1 tutorial per week but with one tutorial replaced by a practical.
Module Texts
For background reading only:
An Introduction to Management Science: Quantitative Approaches to Decision Making, D.R. Anderson, D.J. Sweeney, T.A. Williams, M. and Wisniewski, 2008, Cengage Learning, ISBN: 978-1844805952
Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Management Science, C.T. Ragsdale, 2010, South-Western College Publishing, ISBN: 978-0538746311
Guide to Mathematical Modelling, D. Edwards and M. Hamson, Industrial Press Inc., 2007, ISBN: 978-0831133375
Getting started with MAPLE, D.B. Meade, C-K. Cheung, G. E. Keough, and M. S. J. May, John Wiley, 2009, ISBN: 978-0470455548
An Introduction to Management Science: Quantitative Approaches to Decision Making, D.R. Anderson, D.J. Sweeney, T.A. Williams, M. and Wisniewski, 2008, Cengage Learning, ISBN: 978-1844805952
Spreadsheet Modeling and Decision Analysis: A Practical Introduction to Management Science, C.T. Ragsdale, 2010, South-Western College Publishing, ISBN: 978-0538746311
Guide to Mathematical Modelling, D. Edwards and M. Hamson, Industrial Press Inc., 2007, ISBN: 978-0831133375
Getting started with MAPLE, D.B. Meade, C-K. Cheung, G. E. Keough, and M. S. J. May, John Wiley, 2009, ISBN: 978-0470455548
Module Resources
MAPLE
Module Special Admissions Requirements
Prior study of CE61021-4 Applied Mathematical Methods and CE61024-4 Introductory Statistics and Probability or equivalent.