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Introduction Computational Science
(Year: 2 Period: 4 Category: Compulsory )
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Course Objectives:
- 1. (understand)After successful completion of the course, the students can: explain the added value of computational modelling to science;
- 2. (understand)describe the properties of several classes of models and explain their meaning;
- 3. (apply)formulate suitable models for a range of realistic phenomena and explain the choices;
- 4. (understand)explain the power and limitations of modelling;
- 5. (understand)explain the role of real data (note: this course does not explicitly handle model fitting);
- 6. (apply)implement simple models in computer code, verify and validate the correctness of implementation;
- 7. (understand)formulate some models in ordinary differential equations and solve them analytically (by integration) and numerically (by Euler algorithm);
- 8. (understand)explain and analyse how discretisation and numerical approximations affect the outcome of simulations;
- 9. (understand)describe some models of complex networks and explain their properties;
- 10. (apply)implement a few algorithms to generate different types of networks;
- 11. (evaluate)derive some basic mathematical properties of networks, such as diameter and giant component size.
- 12. (understand)can implement a model on real-life data and use it to run experiments.