| Code |
14766
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| Year |
1
|
| Semester |
S2
|
| ECTS Credits |
4,5
|
| Workload |
PL(15H)/TP(30H)
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| Scientific area |
Mathematics
|
|
Entry requirements |
N.A.
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|
Learning outcomes |
Create awareness of the usefulness of mathematical modelling in several areas by: identifying variables, constants, and mathematical relationships between them; and to characterize the nature of those variables. Expose students to a wide range of mathematical models either of deterministic or of probabilistic nature.
|
|
Syllabus |
1. Introduction
1.1 Construction, analysis, and validation of models
1.2 Critical analysis of models
2. Case studies
2.1 Population models; heating/cooling models; radioactive decay models
2.2 One-dimensional continuous and discrete models in Physics and Biology
2.3 Predator-prey ecological models. Periodic solutions
2.4 Fixed-term deposit/bank loan models
2.5 Linear optimization models
2.6 Fitting a linear model to a data set: graphical method and least squares method
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|
Main Bibliography |
- Giordano, F. R. et al (2009). A first course in mathematical modeling. Brooks/Cole.
- Marion, G., Lawson, D. (2008). An Introduction to Mathematical Modelling. Bioinformatics and Statistics Scotland.
- Dym, C. (2004). Principles of Mathematical Modeling. Academic Press.
- Bender, E.A. (1978). An introduction to mathematical modelling. Wiley.
- Cross, M., Moscardini, A.O. (1985). Learning the art of mathematical modelling. Ellis Horwood Ltd.
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Language |
Portuguese. Tutorial support is available in English.
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