University Carlos III of Madrid
Bachelor's Degree in Applied Mathematics and Computing (English)
Leganés, Spain
Bachelor's degree
DURATION
4 years
LANGUAGES
English
PACE
Full time
APPLICATION DEADLINE
EARLIEST START DATE
Sep 2026
TUITION FEES
EUR 7,000 / per year *
STUDY FORMAT
On-Campus
* for non-European students | for EU students: € 1,500/year
Key Summary
The Bachelor&rsquo's Degree in Applied Mathematics and Computing seeks to train professionals who are capable of applying mathematics in those areas of science, engineering, economics, and other social sciences where computation plays a key role.
Students will be prepared for the design and use of algorithms and numerical modeling methods and for solving real problems. This degree, in great demand by companies and research institutions, enables future professionals to undertake their professional activity in all the business sectors and in research and development where this mixed profile combining competencies in mathematics and computer science is required.
Students will acquire sound mathematical knowledge and a robust command of programming and software development, enabling them to focus on the implementation of mathematical computer methods and statistics. In addition, they will learn the theoretical fundamentals of computing and its practical applications; furthermore, students will acquire a solid understanding of the operation of computers which will endow them with the ability to make the most adequate design decisions.
Studies in English only
This degree courses completely in English. No groups are available in Spanish in any subject. You must take into mind that:
- In groups in English, all work (classes, drills, exercises, tests, etc.) shall be conducted in English
- During the first year, it must establish an English B2 level, pass a test, and provide one of the supported official certificates or any way determined by the university
- After completing the studies, the DS mention of having carried out the studies in English will appear
Employability and professional internships
UC3M has agreements with over 3000 companies and institutions in which students can undertake internships and access job openings.
A total of 93.4 % of graduates from this University enter the job market the first year after finishing their studies, according to the 2019 XXIV Estudio de Inserción Profesional (Professional Placement Study).
Year 1 - Semester 1
- Writing and communication skills (3 ECTS)
- Linear Algebra (6 ECTS)
- Differential Calculus (6 ECTS)
- Fundamentals of Algebra (6 ECTS)
- Programming (6 ECTS)
- Skills: Humanities I (3 ECTS)
Year 1 - Semester 2
- Integral Calculus (6 ECTS)
- Vector Calculus (6 ECTS)
- Linear Geometry (6 ECTS)
- Discrete Mathematics (6 ECTS)
- Programming Techniques (6 ECTS)
Year 2 - Semester 1
- Numerical Methods (6 ECTS)
- Cryptography (6 ECTS)
- Computer Structure (6 ECTS)
- Integration and Measure (6 ECTS)
- Automata and formal languages theory (6 ECTS)
Year 2 - Semester 2
- Data structures and algorithms (6 ECTS)
- Artificial Intelligence (6 ECTS)
- Probability (6 ECTS)
- Operating Systems (6 ECTS)
- Complex Analysis (6 ECTS)
Year 3 - Semester 1
- Information Skills (1.5 ECTS)
- Advanced knowledge of Spreadsheets (1.5 ECTS)
- Computer Architecture (6 ECTS)
- Ordinary differential equations (6 ECTS)
- Statistics (6 ECTS)
- Heuristics and Optimization (6 ECTS)
- Skills: Humanities II (3 ECTS)
Year 3 - Semester 2
- Further topics in numerical methods (6 ECTS)
- Partial differential equations (6 ECTS)
- Files and Databases (6 ECTS)
- Language Processors (6 ECTS)
- Software verification techniques (6 ECTS)
Year 4 - Semester 1
- Applied functional analysis (6 ECTS)
- Stochastic Processes (6 ECTS)
- Functional Programming (6 ECTS)
Electives
- Professional Internships (12 ECTS)
Computing
- Data Integration and Visualization (6 ECTS)
- Concurrent and Parallel Programming (6 ECTS)
Maths
- Numerical Methods for Partial Differential Equations (6 ECTS)
- Modeling Techniques (6 ECTS)
Year 4 - Semester 2
- Simulation in Probability and Statistics (3 ECTS)
- Soft Skills (3 ECTS)
Bachelor Thesis (12 ECTS)
Electives
- Professional Internships (12 ECTS)
Computing
- Machine Learning (6 ECTS)
- Advanced Computation Theory (6 ECTS)
Maths
- Numerical Methods for Economy and Finance (6 ECTS)
- Linear and Stochastic Modeling (6 ECTS)
Mobility
Exchange programs
The Erasmus program 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, a work placement or internship at an EU company. These exchanges are funded with Erasmus Grants which the EU and the Spanish Ministry of Education provide.
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.
- QS World University Rankings Top 50 Under 50
- 35th spot worldwide and ranked 10th in Europe, on QS Top 50 Under 50 Ranking
- QS World University Rankings
- 319th position on the QS World University Rankings 2024
- QS World University Rankings Subjects Rankings
- Among the world’s best universities in 13 academic fields, according to QS World University Rankings by Subject 2023
- QS Graduate Employability Rankings
- Among the 136 best universities in the world for employability, according to THE’s Global University Employability Ranking 2022
Graduates in Applied Mathematics and Computing must be able to make use of the application of mathematics in those areas of science, engineering, economy, and other social sciences where computing plays a central role with a focus on the use of algorithms, and numerical methods to model and solve real-world problems that emerge in those disciplines.
To achieve this, graduates will have a strong command of programming and software development with special attention to the implementation of computers of mathematical methods. Additionally, they will know the theoretical fundamentals of computation theory and their practical applications, including those used by programming languages compilers, and interpreters. They will also have a sound understanding of the operation of computers that will allow them to make adequate design decisions to ensure the best performance of the solutions they may conceive. They will know the main techniques in artificial intelligence and how they can be used to solve real-world problems. They will know probability, statistics, stochastic methods, and simulation methods that they will be able to use to solve problems. All these aspects will be supported by a strong base in different aspects of mathematics.
With all these, they will have the ability to carry out their professional career in all domains of economic activity as well as in research where there is demand for professionals with a profile of application of mathematics with strong use of computers as a fundamental tool.
This degree, highly demanded in this industry, allows future professionals to work in all business and research and development sectors where this mixed profile combining mathematics and computer science skills is in demand.
- Researcher in R&D centers and universities
- Expert in scientific computing applied to industry
- Research and Development Manager
- Project engineer
- Developer of scientific applications
- Designer of computer-based models and simulations
- Quantitative analyst in financial institutions
- Videogame and computer animation developer
- Technological and business consultant
- Expert in logistics and distribution solutions
- Software developer
- Data analyst
- Development engineer in industrial sectors such as energy, aerospace, naval, manufacturing
- Teacher.