Bachelor's Degree in Applied Mathematics

The basic competencies for bachelor's degree studies according to RD1393/2007, of October 29, modified by Royal Decree 861/2010, of July 2, are the following:

• BC1. That students demonstrate that they possess and understand knowledge in an area of study starting from the basis of general secondary education, and is usually found at a level that, although supported by advanced textbooks, also includes some aspects that imply knowledge from the forefront of your field of study;
• BC2. That students know how to apply their knowledge to their work or vocation in a professional way, and possess the competences that are usually demonstrated through the elaboration and defense of arguments and the resolution of problems within their area of study;
• BC3. That students have the ability to gather and interpret relevant data to make judgments that include a reflection on relevant issues of a social, scientific or ethical nature;
• BC4. That students can transmit information, ideas, problems and solutions to both a specialized and non-specialized audience;
• BC5. That students develop the learning skills necessary to undertake further studies with a high degree of autonomy.

In order to establish the general competences of the degree, the general objectives defined in the White Book of the Bachelor's Degree in Mathematics were taken as a reference and adapted (ANECA, 2004).

• GC1. (Know) Demonstrate possessing and understanding, from the basis of secondary education, the nature, concepts, methods and most relevant results of the different fields of Mathematics.
• GC2. (Apply) Know how to apply the knowledge acquired in the definition and approach of problems and in the search for their solutions in mathematical and non-mathematical contexts.
• GC3. (Analyze) Have the ability to gather and interpret relevant data in areas related to Mathematics, applying intuition and logical thinking, to reflect on relevant issues of a scientific, social or ethical nature.
• GC4. (Synthesize) Synthesize knowledge and skills acquired in the different subjects of the curriculum to apply them in specialized projects or in the work environment.
• GC5. (Learn) Develop those learning skills necessary to undertake, with a high degree of autonomy, subsequent specialized studies in the field of mathematics or in any other discipline that requires knowledge of mathematics.

• TC1. (Communicate) Communicate orally or in writing information, ideas, problems and solutions to both specialized and non-specialized audiences.
• TC2. (Use tools) Identify and know the basic computer tools that serve as a support instrument for academic and professional work.
• TC3. (Interact) Know how to apply skills in interpersonal relationships to solve in a practical way the personal or technical situations that arise.
• TC4. (Critical reasoning) Reasoning critically, relying on the information available, checking or refuting through reason the arguments of other people.
• TC5. (Teamwork) Knowing how to work as a team, actively contributing to the result of the problem or project to be solved.
• TC6. (Autonomy) Autonomously learn new knowledge and techniques to adapt to new situations in the environment of Applied Mathematics or others.

The list of specific competences for this degree takes as references the White Book of the Bachelor's Degree in Mathematics (ANECA, 2004) and the report "The integration of Mathematics studies in Spain in the European Higher Education Area", prepared by the Grupo CRUE de Matemáticas and published as a supplement to the Gazette of the Royal Spanish Mathematical Society (RSME) in volume 6, issue 2 of 2003. They have been adjusted to the profile of a graduate in Applied Mathematics from the Antonio de Nebrija University, and are the following:

• SC1. (Understand) Understand mathematical language to use it fluently.
• SC2. (Assimilate) Relate the definition of new mathematical objects with other known ones to assimilate them and deduce their properties.
• SC3. (Demonstrate) Identify the essential ideas of the proofs of some basic theorems, knowing how to adapt them to obtain other results.
• SC4. (Abstract) Know how to abstract structural properties, distinguishing them from those that are purely occasional, to formulate hypotheses and know how to confirm or refute them.
• SC5. (Solve) Acquire the appropriate mathematical techniques and tools to plan the resolution of mathematical problems.
• SC6. (Modeling) Use the most appropriate mathematical tools for the purposes to propose, analyze, validate and interpret simple mathematical models.
• SC7. (Instrumentalize) Use appropriate computer applications to experiment in mathematics, solve problems, and handle mathematical models.
• SC8. (Program) Develop programs that solve problems or mathematical models using the appropriate computational environment in each case.
• SC9. (Interpret) Acquire basic knowledge of other disciplines to know how to interpret complex situations arising from these in mathematical terms.
• SC10. (Conclude) Know how to draw conclusions from the results of the mathematical analysis of real situations and phenomena to integrate them into other areas.
• SC11. (Expand) Know the mathematics involved in other areas at the forefront of science and engineering to acquire focus towards the professional future.
• SC12. (Integrate) Carry out, present and defend before a university tribunal an individual work that integrates and synthesizes the knowledge and skills acquired.