| Code |
13907
|
| Year |
1
|
| Semester |
S2
|
| ECTS Credits |
4,5
|
| Workload |
PL(15H)/TP(30H)
|
| Scientific area |
Mathematics
|
|
Entry requirements |
N.A.
|
|
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 Building, studying and validating models
1.2 Analysing models
2. Case studies
2.1 Compartmental analysis, heating and cooling, radioactive decay, population models
2.2 Predator-prey systems. Species competition. Periodical solutions
2.3. Discrete models in Biology
2.4. Interest rates
2.5. Linear optimization models
2.6. Fitting a linear model: graphical method and least squares method
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|
Main Bibliography |
- Marion, G., Lawson, D. (2008). An Introduction to Mathematical Modelling. Bioinformatics and Statistics Scotland.
- Giordano, F. R. et al (2009). A first course in mathematical modeling. Brooks/Cole.
- 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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