ENTRY REQUIREMENTS:
As general entry requirement they should be contemplated in some of the presumptions of the article 6 of the RD 99/2011 or of the second additional provision of such Royal Decree.
ENTRY REQUIREMENTS/CRITERIA:
As specific requirement:
a) Students should have taken some of the university master degrees of the University of Valencia detailed in the section 3.1. In the event of holding the Diploma d'Estudis Avançats (DEA-a tertiary education degree)- obtained according to the Royal Decree 778/98– or the Research Proficiency- according to the regulations of the Royal Decree 185/85– , they must have been completed within Doctoral Programmes related to this.
b) Also, the students who have taken other Master’s Degree studies different to the ones mentioned above can be admitted, whenever they are Master’s degree related to these or to the research lines of the doctoral studies.
c) The accreditation of the carrying out od a research work of at least 6 credits in thematic related to the ones od the Master’s Degree associated with the doctoral programme will be required. For this, it is recommended to include within the pre-enrolment documentation a summary of the research work (of a page as maximum) 

The students who fulfil the aforementioned requirements will enter the doctoral programme, being the Joint Academic Committee of the doctoral programme the one responsible for verifying the fulfilment of the aforementioned requirements for the admission of Doctoral students.

3120  Statistics and Optimisation

- Bayesian Methods
- Validation and Selection of Statistical Models
- Statistical methods spatiotemporal
- Environmental Statistical Methods in Life Sciences and
- Statistical analysis of images
- Statistical Quality Control
- Design of experiments and industrial statistics
- Multivariate Data Analysis and Data Mining
- Survival and reliability
- Multivariate Statistical Methods projection to latent structures (PCA, PLS, Multiway models ...)
- Predicting time series
- Tours and Distribution Problems
- Mathematical Programming and Optimization
- Sequencing Problems and Planning
- Cutting and Packing Problems
- Financial modeling

The Specific Entry Requirements to the Doctoral Programme in Mathematics are the following:
-The admission of students to the Doctoral Programme in Mathematics will be carried out by the Academic Committee, appointed for that purpose. All those students who have completed the credits corresponding to the Inter-University Master’s Degree INVESMAT and defended their Master’s Degree final Project can take these Doctoral Studies. Likewise, all those students who are holders of a Diploma d’Estudis Avançats (A tertiary education degree) obtained by the doctoral programmes of the Royal Decree 778/1998 “Cross-disciplinary Mathematics” of the Department of Applied Mathematics of the UPV and the “Inter-department Doctoral Programme” of the Faculty of Mathematics of the UV.
-Those students who have completed a number of credits equivalent to the Master’s Degree INVESMAT in other Master’s Degrees, both from Spain and abroad which are within the field of Mathematics or that come from other Doctoral Programmes both national (Royal Decree 778/1998) and foreign countries, always that the Doctoral Studies Academic Committee will issue a favourable report. Such Academic Committee will require the information necessary of the students about their knowledge and they will make a proposal on the admission conditions of the students, establishing if necessary the tutelage that consider academically appropiate.

Linear Algebra

    Matrix theory and applications to control systems   

    Iterative solution of linear systems and applications

Analysis

    Operator theory

    Vector and multilinear Fourier analysis

    Spaces and algebras of differentiable functions

    Methods of functional analysis for mathematical analysis

    Dynamic linear systems: chaos

Applied Mathematics

    Numerical analysis, images and simulation

    Resolution of equations and nonlinear systems

    Nonlinear partial differential equations

Mathematical Modeling

    Stochastic differential equations and their applications

    Modeling the spread of infectious diseases and social habits

    Mathematical modeling for metabolic and energy engineering

    Mathematical models in physics

Algebra, Geometry and Topology

    Theory of representations of finite groups

    Arithmetic and structural properties of groups and applications

    Theory of singularities: generic geometry and morphology

    Diffuse metrics and quasimetrics: applications