- Prepare for subsequent specialised studies, both in a mathematical discipline as well as in any of the sciences that require a solid mathematical foundation
- Train for the use of the theoretical and practical knowledge acquired to define and model problems and in the search for solutions both in academic and professional contexts
- Develop analytical and abstraction abilities, intuition and logical and rigorous thinking through the study of Mathematics
- Recognise the presence of underlying Mathematics in Nature, Science, Technology and Art and to recognise Mathematics as part and parcel of Education and Culture
- Know the nature, methods and aims of the different fields of Mathematics together with a historical perspective of its development
- This course opens the door to a wide range of professional opportunities, much further afield than teaching, most noticably in the sectors of Banking & Finance, Public Administration, Computing, Consulting Services, Science and Technology
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General Skills
- To show that they have the knowledge and understanding of Mathematics based on their general secondary education up to a level that while supported by advanced text books, also includes aspects that involve knowledge drawn from the cutting edge of Mathematical studies
- To know how to apply this knowledge to their work or vocation professionally and by having the skills that are usually shown by preparing and defending arguments and by resolving problems within the field of Mathematics
- To have the ability to gather and interpret relevant mathematical data to make judgements, including reflections on important social, scientific or ethical issues
- To be capable of transfering information, ideas, problems and solutions to both specialised and non-specialised audiences
- To have developed the necessary learning abilities to go on to further studies with a high degree of independence
- To understand and use mathematical language, acquire the ability to make proposals in different fields of Mathematics in order to construct demonstrations and transmit the mathematical knowledge acquired
- To know rigorous proofs of several classical theorems in different areas of Mathematics
- To assimilate the definition of a new mathematical object, in terms of known ones, and to be able to use this object in different contexts
- To know how to abstract the structural properties (from mathematical objects, from the observed reality, and from other areas) separating them from purely occasional ones and to be able to prove them with demonstrations or refute them with counter-examples, as well as being able to identify mistakes in incorrect reasoning
- To learn new mathematical knowledge and techniques independently
- To propose, analyse, validate and interpret models from simple real situations, using the most appropriate mathematical tools for the purpose
- To solve mathematical problems using basic calculus skills and others, planning their resolution in accordance with the tools available and restrictions on time and resources
- To use statistical analysis software, numerical and symbolic calculus, graphic display, optimisation and others to perform mathematical experiments and solve problems
- To develop programmes capable of solving mathematical problems using the best computing environment for each case
- To use bibliographical search engines in Mathematics
- To communicate knowledge, procedures, results and mathematical ideas both in writing and orally
- To train to solve academic, technical, financial or social problems using mathematical methods
- To be able to work in a team, contributing mathematical models adapted to the collective needs
Specific Skills
- Find analysis and modelling easy
- Be able to concentrate and maintain focus
- Be able to visualize geometric shapes within a space
- Demonstrate logical and well structured reasoning skills, abstract thinking skills, and intellectual abilities
- Find Mathematics and Statistics easy