University Master's Degree in Advanced Mathematics

General

Read more about this program on the school's website

Program Description

  • Type of education: Face-to-face.
  • Number of new entry places offered: 35
  • Total credits: 60
  • Languages taught: Spanish.
  • Guide price: € 45.02 per credit.
  • Master's Scholarship: see relevant information here .

About

The Master in Advanced Mathematics was introduced in 2012/13 as an adaptation to the EHEA of the old Master in Mathematical Research. Apart from the objective of the previous Master's degree to train future researchers in mathematics, it is also proposed to complete the mathematical training of new graduates. It is also open to any student who has received sufficient training in mathematics and who wishes to deepen it.

Academic year 2020-21

Course 1

Code

Subject

Character

Credits

Offered

606529

Computational Algebra

Complement of Training

6.0

Yes

606176

Commutative Algebra

Complement of Training

6.0

Yes

606181

Expansion of Equations in Partial Derivatives

Complement of Training

6.0

Yes

606180

Complex Analysis

Complement of Training

6.0

Yes

606178

Functional analysis

Complement of Training

6.0

Yes

606163

Functional analysis

Optional

7.5

Yes

606166

Nonlinear Analysis. Theory of the Degree. Fork

Optional

5.0

Yes

606507

Numerical Analysis of Equations in Partial Derivatives

Complement of Training

6.0

Yes

606508

Real Analysis

Complement of Training

6.0

Yes

606162

Real Analysis and Variation Calculation

Optional

7.5

Yes

606173

Algebraic Curves

Complement of Training

6.0

Yes

606164

Equations in Partial Derivatives

Optional

7.5

Yes

606169

Banach spaces

Optional

5.0

Yes

606159

Algebraic Geometry

Optional

7.5

Yes

606160

Geometry of Topological Surfaces

Optional

7.5

Yes

606179

Differential Geometry

Complement of Training

6.0

Yes

606170

Advanced Geometry and Topology Methods

Optional

5.0

Yes

606509

Stochastic Processes and Simulation

Complement of Training

6.0

Yes

606168

Geometric Analysis Techniques

Optional

5.0

Yes

606165

Algebraic and Analytical Geometry Topics

Optional

5.0

Yes

606172

Classical Theory of Equations in Partial Derivatives

Complement of Training

6.0

Yes

606167

Control Theory and Dynamic Systems

Optional

5.0

Yes

606175

Measure Theory

Complement of Training

6.0

Yes

606177

Algebraic Topology

Complement of Training

6.0

Yes

606161

Differential Topology

Optional

7.5

Yes

606171

Final Master's Project

Final Master's Project

15.0

Yes

606174

Differentiable varieties

Complement of Training

6.0

Yes

goals

The University Master's Degree aims to train the student in advanced knowledge of modern mathematics. It covers advanced content in the areas of algebra, geometry, topology, mathematical analysis and applied mathematics, structured in interrelated subjects. The knowledge learned and the analytical vision of facing problems should give the student the autonomy to use it, either in the academic world, if they wish to do a doctoral thesis in Mathematics, or in the professional field in other sectors.

Recipients

University graduates in Mathematical Sciences, or in titles with a high mathematical content (Physics, Engineering, etc.). In the case of graduates who are not in Mathematics, the Master's Committee will decide on the advisability or not of their admission, being able to demand that they complete a previous year of training complements. As a general rule, it will be recommended that at least half of the credits of the entrance degree have a high mathematical content.

Why study this master?

Students who have completed this University Master's Degree and wish to carry out research in Mathematics can apply for admission to the Doctoral programs taught at the Faculty of Mathematical Sciences. The acquisition of the analytical capacity provided by advanced mathematics puts the students who have completed this University Master's Degree in an advantageous position when looking for a career opportunity. The teachers of this degree have demonstrated research and training capacity. On the other hand, the Master's Thesis is open to be led by researchers from other organizations, be they academic, research or business.

Admission requirements for masters

Non-enabling university masters

  • Be in possession of any of the following titles:
    • Spanish official university degree .
    • Title issued by an institution of the European Higher Education Area (EHEA) and empowering in the country of issue for access to Master's education.
    • Title of educational systems outside the EHEA that empowers in the country of issuance for access to Master's education, homologated or declared equivalent to the degree and academic level of Degree or Degree by the Ministry of Education and Vocational Training . In case of lacking the mentioned homologation or equivalency, it will be necessary to have authorization or access permission granted by this University.
  • Or be carrying out during the course in which you pre-enroll studies leading to the obtaining of any of the previous degrees and be in a position to prove the obtaining of the same before September 30, 2020 .
  • In addition, students from foreign educational systems, whose mother tongue is different from Spanish, must prove level B2 of the Spanish language (or higher) .
  • Specific requirements that any of the requested masters may have. You can consult it by accessing the website of the Master itself.
Last updated Apr 2020

About the School

La Universidad Complutense de Madrid (UCM) es una institución de larga trayectoria y amplio reconocimiento social que aspira a situarse entre las primeras universidades de Europa y a consolidarse como ... Read More

La Universidad Complutense de Madrid (UCM) es una institución de larga trayectoria y amplio reconocimiento social que aspira a situarse entre las primeras universidades de Europa y a consolidarse como centro de referencia para el continente latinoamericano. Read less