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Double Bachelor’s Degree in

Applied Mathematics + Applied Physics

Double Bachelor’s Degree in Applied Mathematics + Applied Physics
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Ranking Forbes - Top 5
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"1st" Spanish
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Among the 6 best
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3rd Spanish
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Double Bachelor’s Degree in Applied Mathematics + Applied Physics

An exclusive double Bachelor's degree that aims to provide students with a solid education by combining mastery of physics and mathematics. Scientific rigor, the ability for abstraction, logical reasoning and the skills to model and solve problems are some of the characteristics provided by this dual degree.

In recent years, with the development of artificial intelligence and automation, mathematics and physics are present in all areas of science and technology, so this program offers students rigorous training, with the aim of acquiring the necessary skills to develop models applied to the resolution of physical and mathematical problems.

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Students have laboratories equipped with the best facilities at their disposal, conceived and designed to learn by doing, all in the center of Madrid. In addition, this double program has almost full employability (96.7%) in less than 6 months, according to a study published by the Ramón Areces Foundation in 2020.

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Curriculum


All our degrees and curricula have been prepared in accordance with the new guidelines set by current legislation, having already been verified by the National Agency for Quality Assessment.
The student must take 372 credits.


First year 72 ECTS credits


  • First Semester 36 ECTS
  • 6 ECTS | Linear Algebra
  • 6 ECTS | Calculus I
  • 6 ECTS | Introduction to mathematical language
  • 6 ECTS | Mathematical models and graphs
  • 6 ECTS | Development of Professional Competences I
  • 6 ECTS | Physics Fundamentals I

  • Second Semester 36 ECTS
  • 6 ECTS | Linear Geometry
  • 6 ECTS | Calculus II
  • 6 ECTS | Programming Fundamentals
  • 6 ECTS | Mechanics and Waves
  • 6 ECTS | Physics Fundamentals II
  • 6 ECTS | Experimental techniques I

Second year 78 ECTS credits


  • First Semester 36 ECTS
  • 6 ECTS | Advanced Calculus
  • 6 ECTS | Ordinary differential equations
  • 6 ECTS | Topology
  • 6 ECTS | Numerical methods
  • 6 ECTS | Electricity and magnetism
  • 6 ECTS | Experimental techniques II

  • Second Semester 42 ECTS
  • 6 ECTS | Integration and measurement
  • 6 ECTS | Partial Differential Equations
  • 6 ECTS | Differential geometry
  • 6 ECTS | Introduction to data analysis
  • 6 ECTS | Optics
  • 6 ECTS | Electromagnetic Fields and Waves
  • 6 ECTS | Electives: DEPYS (Development of the Participative and Solidarity Spirit)/Technoethics

Third year 78 ECTS credits


  • First Semester 36 ECTS
  • 6 ECTS | Optimization
  • 6 ECTS | Complex variables
  • 6 ECTS | Algebraic structures
  • 6 ECTS | Advanced Numerical Methods
  • 6 ECTS | Thermodynamics
  • 6 ECTS | Solid State Physics

  • Second Semester 42 ECTS
  • 6 ECTS | Probability Theory
  • 6 ECTS | Analytical Mechanics and Relativity
  • 6 ECTS | Algorithmic algebra and cryptography
  • 6 ECTS | Geometry and Computational Topology
  • 6 ECTS | Experimental techniques III
  • 6 ECTS | Physics Materials
  • 6 ECTS | Development of Professional Competences II

Fourth year 72 ECTS credits


  • First Semester 24 ECTS
  • 6 ECTS | Statistics
  • 6 ECTS | Physics Statistics
  • 6 ECTS | Applied Electronics
  • 6 ECTS | Quantum physics

  • Second Semester 24 ECTS
  • 6 ECTS | Quantum physics
  • 6 ECTS | Data science
  • 6 ECTS | Atomic and molecular physics
  • 6 ECTS | Quantum Mechanics and Computing

  • Anual 24 ECTS
  • 24 ECTS | Development of skills in the company Applied Physics

Fifth year 72 ECTS credits


  • First Semester 24 ECTS
  • 6 ECTS | Dynamic systems
  • 6 ECTS | Robotics
  • 6 ECTS | Math for finance
  • 6 ECTS | Project management

  • Second Semester 24 ECTS
  • 24 ECTS | Development of skills in the company Applied Mathematics

  • Yearly 24 ECTS
  • 12 ECTS | Final Research Project Applied Mathematics
  • 12 ECTS | Final Research Project Applied Physics

More information on these subjects

Competence Development Seminar 12 ECTS credits
  • 6 ECTS | Competence Development Seminar I
  • 6 ECTS | Competence Development Seminar II
Development of the Participative and Solidarity Spirit (elective) 6 ECTS credits

The recognition of 6 credits will be arranged according to the different activities carried out by students throughout their degree. They will be awarded for university cultural activities, sports, student representation, solidarity and cooperation, and/or for attending one of the following subjects: Human Rights and Corporate Social Responsibility.

Eval. of the Development of Skills in the Company 48 ECTS credits

A program whose objective is to favor the practical training of the students, under the continuous supervision of the University's Department of Professional Careers, the academic department corresponding to the degree, and the collaborating company or institution where the internships are carried out. We provide advice on the choice of internships as well as follow-up and tutoring, always taking the student’s professional orientation into account.

More information on Internships in Companies
Final Research Projects 24 ECTS credits

This project involves the student carrying out research tasks on different subjects, under the supervision of one or several professors of the Department and, occasionally, professionals from the business world. For this, the student has the possibility to choose a project from among those offered.

  • 12 ECTS | Final Research Project Applied Mathematics
  • 12 ECTS | Final Research Project Applied Physics
Transversal Subjects
Transversal Subjects

Through the transversal subjects you will be able to complement your education and complete your CV in a practical, collaborative and fun way.

It is a voluntary program with no added cost. Upon completion, you will be provided with a diploma.

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"La Universidad es un punto de encuentro para todos los que queremos seguir aprendiendo, un lugar fértil para sembrar ideas innovadoras"
"The University is a meeting point for all those who want to continue learning, a fertile place to plant innovative ideas"
Dr. Borja González del Regueral Director de la escuela
Dr. Borja González del Regueral Director
Borja González
Escuela Politécnica Superior