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Exchange programs

The Erasmus programme permits UC3M first degree and post graduate students to spend one or several terms at one of the European universities with which UC3M has special agreements or take up an Erasmus Placement, that is a work placement or internship at an EU company. These exchanges are funded with Erasmus Grants which are provided by the EU and the Spanish Ministry of Education.

The non-european mobility program enables UC3M degree students to study one or several terms in one of the international universities with which the university has special agreements. It also has funding from the Banco Santander and the UC3M.

These places are offered in a public competition and are awarded to students with the best academic record and who have passed the language threshold  (English, French, German etc..) requested by the university of destination.

European Mobility

The list of European universities with mobility agreements will be published soon.

Non European Mobility

The list of non-European universities with a mobility agreement will be published soon.

Entry profile

The majority of students who are admitted to this degree come from the Baccalaureate in Science and Technology, where they obtain specific training in these areas, which develops knowledge and skills and prepares students better to access to these studies. According to Spanish regulations, students must take core subjects such as: Mathematics, Physics, Chemistry, Technical Drawing, and Technology and Engineering.

In addition to Baccalaureate students, another main access route to this Bachelor's Degree is coming from Vocational Training studies

Application for a place in the degree

Graduate profile

The Bachelor's Degree in Applied Mathematics combines the classical knowledge of mathematics studies with basic notions of other branches of science, with the aim of training professionals capable of integrating knowledge from different areas and who are able to apply it to relevant questions related to mathematics.

• Acquire advanced knowledge by demonstrating an understanding of the theoretical and practical aspects and working methodology in the field of mathematics with a depth that reaches the cutting edge of knowledge.
• Solve applied problems demanded by society using the language and tools provided by mathematics and other related areas.
• Apply their knowledge in the field of mathematics and their problem-solving skills in complex or professional and specialised areas of work, giving creative and innovative answers by means of arguments or procedures developed and supported by acquired knowledge.
• Possess the ability to collect and interpret data and information on which to base their conclusions, including the vision and practical but rigorous thinking in the field of mathematics.
• Know how to deal with complex situations or those requiring the analysis and development of new solutions in the academic, work or professional environment.
• Know how to communicate knowledge, methodologies, ideas, problems and solutions in the field of mathematics clearly and precisely to all kinds of audiences.
• Identify their own training needs in their work or professional environment and organise their own learning with a high degree of autonomy in all types of contexts.

1. Knowledge of Titles

K1 - To know the main techniques of mathematical proof, as well as to understand the importance and necessity of hypotheses in mathematical results.

K2 - Know the fundamental definitions and results of algebra, geometry and discrete mathematics, including both the statements and their proofs.

K3 - Know the fundamental definitions and results of real, complex and functional mathematical analysis, including both the statements and their proofs.

K4 - To know the definitions and fundamental results of ordinary and partial differential equations and stochastic differential equations, including both the statements and their proofs.

K5 - Know the fundamental definitions and results of probability and statistics and know how to use them to model uncertain systems.

K6 - To know the most commonly used computational techniques in applied contexts such as numerical calculus, differential equations, statistics, cryptography or optimization.

K7 - To know the basic and central concepts and the most common methodologies of disciplines in which mathematical language and method are applied, such as physics, biology, economics, data science or cryptography.

K8 - To know the methods, tools and techniques of mathematics used to model, simulate and solve problems, identifying the different phases of the mathematical modeling process: formulation, analysis, resolution and interpretation of results.

K9 - Know the techniques for searching, handling and filtering information and apply them to compile and communicate results to both specialized and general audiences.

K10 - To be familiar with the principles and values of democracy and sustainable development, in particular respect for human rights and fundamental rights, gender equality and non-discrimination, the principles of universal accessibility and climate change.

K11 - To know basic humanistic contents, oral and written expression, following ethical principles and completing a multidisciplinary training profile.

2. Skills of Titles

S1 - Learn and adapt mathematical techniques and methods from one branch to another (such as algebra, calculus or probability) and apply them to different scientific or industrial problems.

S2 - Apply combined knowledge of mathematics and physics to model phenomena in areas such as biology, economics, or data science.

S3 - Solve mathematical application problems by means of calculation techniques, algebraic or numerical methods and know how to select the most appropriate tools according to each type of problem.

S4 - Use logical and abstract reasoning to state, demonstrate and verify the validity of mathematical results, as well as to analyze models and design solution strategies.

S5 - Break large or complex problems into smaller, more manageable parts, and apply mathematical or computational analysis techniques to each component.

S6 - Plan and organize team work making the right decisions based on available information and gathering data in digital environments

S7 - Use information interpreting relevant data, avoiding plagiarism, and in accordance with the academic and professional conventions of the area of study, being able to evaluate the reliability and quality of such information

S8 - Develop a mathematical topic from initial definitions to the most relevant results in a complete logical sequence or pose, solve and interpret a mathematical model describing some quantifiable aspect of a real system of interest in applications.

3. Competences of Titles

C1 - Know and be able to handle interpersonal skills on initiative, responsibility, conflict resolution, negotiation, etc., required in the professional environment.

C2 - Propose solutions to practical problems, using the most appropriate results and techniques, and critically analyze the results obtained, explaining the hypotheses and limitations of the models used.

C3- Use numerical or symbolic calculation, statistical analysis, or optimization software to approximate the solution of mathematical problems arising in a professional context and know how to analyze and predict behaviors in different contexts, implementing efficient solutions to complex problems.

C4 - Understand the need to prove new mathematical results, as well as appreciate rigor in demonstrations, identify gaps in demonstrations, and use counterexamples to demonstrate the falsity of propositions

C5 - Abstract complex problems from real life or other sciences and formulate them in terms of mathematical equations, using variables, constants and parameters to make them understandable and solvable.

C6 - Write, present and defend individually and publicly before a university tribunal an original scientific-technical report using the appropriate technical language.

Career opportunities

This qualification enables future professionals to work in all business and research and development sectors where this profile, which combines mathematical competences, is in demand.

• Strategic consulting, technology consulting, project management and studies.
• Business, industry and services: data analysis, programming and software engineering, market research, planning and management, cryptography and security.
• Research in mathematics: teaching and research staff in universities or research centres.
• Research in other sciences and in engineering and technology: research centres and laboratories, both in the public and private sector: computing, communications, robotics, mechanics, biology or medicine.
• Banking, finance, insurance: risk analysis and control, portfolio and fund management, investment managers, design and valuation of financial products, cryptography and security.
• Secondary school teachers in public or private schools, publishing houses and companies in the education sector.