Introduction to Mathematical Modelling
Projects
- Project Proposal (20%)
- Group Project (20%)
Class Schedule
CSB5Aq, CSB5Bq
- Monday – 1100-1150 – F140
- Thursday – 1600-1750 – A218
- Friday – 0800-0850 – LAB02
Contents
- The Mathematical Modelling Process
- Definition of a model
- Classification of models
- Construction of models
- Identify the problems
- Make assumptions
- Interpret the model
- Verify the model
- Implement the model
- Maintain the model
- Illustrative examples
- Static Models
- Model fitting
- Least squares method
- Choosing a best model
- Illustrative examples
- Discrete Dynamical Systems
- Population growth models
- Qualitative behaviour of solution
- Analyse using Excel Spreadsheet
- Illustrative examples
- Continuous Dynamical Systems
- Population growth models
- Qualitative behaviour of solution
- Analyse using Mathematical software
- Illustrative examples
- First-Order Systems of Differential Equations
- Two-species interaction
- Qualitative behaviour of solution
- Analyse using Mathematical software
- Illustrative examples
- Research Proposal
- Literature survey
- Proposal planning
- Preliminary investigation
- Report writing
Textbook
Giordano, F.R., Weir, M.D. and Fox, W.P (2003)
, A First Course in Mathematical Modeling. 3rd Ed., Pacific Groves, CA: Thomson Brooks/Cole.