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# Computational Mathematics

 Code 14904 Year 2 Semester S2 ECTS Credits 6 Workload TP(60H) Scientific area Mathematics Entry requirements None Learning outcomes With this curricular unit it is intended that the student obtain numerical tools to solve the most varied problems in physics and related fields.At the end of this curricular unit the student should be able to:a) analyze the errors and determine their propagationb) determine numerically zeros of functionsc) calculate numerically extremes of functionsd) solve numerically systems of linear equationse) interpolate and approximate functionsf) derive and integrate functions numericallyg) solve equations and systems of differential equations by numerical methodsh) in face of a proposed problem, translate it mathematically, identify possible methods to solve it, choose the most appropriate, implement it and critically analyze the results Syllabus 1. Theory of errors2. Non-linear equations3. Extremes of functions4. Systems of linear equations5. Interpolation and polynomial approximation6. Differentiation and numerical integration7. Ordinary differential equations with initial values Main Bibliography 1. Pina H (1995). Métodos Numéricos. Alfragide: McGraw-Hill2. Valença MR (1988). Métodos Numéricos. Braga: INIC3. Burden RI, Faires JD and Burden AM (2015). Numerical Analysis, 10th edition. Boston: PWS-Kent Teaching Methodologies and Assessment Criteria The course is structured in theoretical-practical classes. The teacher introduces the concepts, states and proves the fundamental results, provides examples and applications. The combination of the theory with the practice in the classes allows the exercises to be performed immediately after each theoretical content, which improves the acquisition of knowledge and skills. In addition, the student is encouraged to participate in classes, to interact with the teacher and with colleagues, and to work autonomously, in the form of exercises, formulation and problem solving.The evaluation carried out during the teaching-learning process consists of two written tests quoted for 8 values each and four mini tests to be carried out on the computer during the classes, quoted for 1 value each. The student can also take a final exam quoted for 20 values. Language Portuguese. Tutorial support is available in English.

### Course

Physics
Last updated on: 2020-07-14

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