| Code |
14766
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| Year |
1
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| Semester |
S2
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| ECTS Credits |
4,5
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| Workload |
PL(15H)/TP(30H)
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| Scientific area |
Mathematics
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|
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.
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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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Teaching Methodologies and Assessment Criteria |
Assessment during the teaching-learning process will consist of two written tests, each graded out of 10 points, and possibly an oral exam. A student will pass if the sum of their test grades is greater than or equal to 9.5 points. Whenever the final grade is greater than or equal to 16.5 points, an oral exam will take place to confirm the grade; in that case, a minimum grade of 16 points is guaranteed from the outset. If an oral defense is required and the student does not attend, their final grade will be 16 points. To be eligible to take the exam, the student must have attended at least one class. Students with special status are subject to their own rules, as defined by the Academic Regulations.
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Language |
Portuguese. Tutorial support is available in English.
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