Please Note: This program is currently recruiting its first class, which will begin in fall 2017.

Mathematical modeling is the process of developing mathematical descriptions, or models, of real-world systems. These models can be linear or nonlinear, discrete or continuous, deterministic or stochastic, and static or dynamic, and they enable investigating, analyzing, and predicting the behavior of systems in a wide variety of fields. Every mathematical modeling enterprise has four aspects: the content of the application field, the mathematical formulation and analysis, the analytical and computational methods (which often involve high-performance computing), and the interpretation and analysis of the results. Through extensive research, graduates of this program will have the expertise not only to use the tools of mathematical modeling in various application settings but also to contribute in creative and innovative ways to solve complex interdisciplinary problems and to communicate effectively with domain experts in various fields.... [-]

Models, mathematics, statistics, data, and algorithms are the foundations of our digital world. Computational methods and mathematical analysis are increasingly used for simulation, prediction, data evaluation, analysis, risk assessment, development, and optimization, in virtually every field of Science.

The Ph.D. in “Computational Mathematics and Decision Sciences” aims at offering graduate students solid skills in Computational Mathematics, Computational Physics, Scientific Computing, Statistics, Decision Sciences, Optimization, Machine Learning, as well as an interdisciplinary view of Applied Mathematics, Physics and decision processes under uncertainty. The program gives a solid theoretical and computational grounding for high-level research in universities, international research institutions, and industry.... [-]

Doctoral program on specialty "Mathematical and Computer Modeling" is created for a further independent research and defense of doctoral dissertation at the university. Within the frameworks of the course, Ph.D. students study classical and modern approaches of mathematics such as methods of functional analysis, mathematical models of physical processes, a more advanced course of differential equations, in particular, derived equations, etc. In addition, courses on high-productive calculations and computer modeling are given. Thesis Board for the defense of doctoral dissertations on specialty "Mathematical and Computer Modeling" is functioning at our university.

There is a training of competent specialists in the field of mathematical and computer modeling. In this direction, the faculty aims at upgrading the quality of educational process by means of implementing modern methods and training techniques, updating and creating new mathematical courses that meet the requirements of a growing economy of the Republic of Kazakhstan.... [-]

The Applied Mathematics and Computational Sciences (AMCS) program educates students to construct and solve Mathematical and Computational models of real-world problems. Two-degree programs are offered: the M.S. degree (under either a Thesis or a Non-Thesis option) and the Ph.D. degree. Admission to one-degree program does not guarantee transfer to another.

The Applied Math and Computational Science program offers specializations in three distinct directions (called “Tracks”): Applied Mathematics (AM), Computational Science and Engineering (CSE) and Statistics (ST).

The requirements for the different specializations may vary and are outlined below. All students in the M.S. program are guided by a Faculty advisor to develop their program of study.... [-]

The School of Mathematical and Computer Sciences is pleased in offering Ph.D. in Computer science by research to students on the Dubai campus.

Initially, those with an interest in undertaking a project in the broad area of computing are encouraged to apply. This may include different research topics as outlined in program content.

Ph.D. study on the Dubai Campus will enable students to work with staff and students in Dubai in collaboration with a research group in Edinburgh performing high value and fundamental research in engineering. Students will be working under the supervision of an expert academic supervisor based at the Dubai Campus and supported by a second supervisor in Edinburgh. In addition to time spent doing research project work, students will engage with scientific literature and participate in research group discussions and meetings using electronic communications. On completion of the research project, students spend some six months 'writing up' to produce a final PhD. Once the thesis has been submitted, internal and external academics will examine the student’s work and knowledge of the Ph.D. subject.... [-]

PhD in Mathematics

The Department of Mathematics offers graduate courses leading to the PhD degree in Mathematics. The department emphasizes both pure and applied mathematics. Research in the department covers algebra, algebraic geometry, number theory, functional analysis, differential geometry, differential equations, combinatorics, topology, biomathematics, statistics, probability, stochastic analysis and mathematical physics. In addition to the following courses, students in this program can take any of the courses listed under the “M.S. in Mathematics” program or from other courses not listed here in accordance with their areas of specialization and subject to the approval of their advisors.... [-]

Advanced training in theoretical and applied mathematics with an emphasis on Algebra and logic (logic, non-standard analysis, algebra, theory of numbers, encryption), analysis (differential equations, calculus of variations and optimal control, optimization, dynamic systems, numerical applications) and Statistics (statistics, operational research, probability). In the context of the thesis is required in-depth study of a part of mathematics and / or their applications in order to cross the border of mathematical knowledge to solve problem without open and / or to start a new theory. targeted capabilities: formulate theorem new mathematical concepts and / or mathematically model in the various contexts of application, in-depth knowledge and assimilation of advanced mathematical theory of parts, know how to use successfully computerized means, interpret and communicate mathematical results of scientific texts, display results own research, write publishable scientific articles in prestigious scientific journals.... [-]

Joining the Department as a postgraduate is certainly a good move. The Department maintains strong research in both pure and applied mathematics, as well as the traditional core of a Mathematics department. What makes our Department different is the equally strong research in fluid mechanics, scientific computation, and statistics.

The quality of research at the postgraduate level is reflected in the scholarly achievements of faculty members, many of whom are recognized as leading authorities in their fields. Research programmes often involve collaboration with scholars at an international level, especially in the European, North American and Chinese universities. Renowned academics also take part in the Department's regular colloquia and seminars. The faculty comprises several groups: Pure Mathematics, Applied Mathematics, Probability, and Statistics.... [-]

Ph.D. in Mathematics Applied for Economics and Management

This degree is useful for those who want to pursue an academic career, or who wish to carry out research, as well as for those who want to further their education and to learn the new techniques and scientific practices required for the pursuit of excellence in their professional lives in companies, or private or public institutions.

This course boasts highly qualified professors, particularly in the areas of Actuarial Science, Analysis, Dynamic Systems, Finance Econometrics, Finance Mathematics, Macro and Micro-Econometrics, Operational Research, Statistics and Time Series.

Host centers

The research undertaken in ISEG’s research centers provides important support for students in Ph.D. programs.... [-]

The Ph.D. program is a four-year program. The format for the degree consists of coursework and a thesis. The student must pass a written and an oral comprehensive examination within the first two years of the program.

The thesis is the most significant component of work towards the degree and involves original research. The first step for any prospective student is to select a potential supervisor and in consultation with the supervisor, organize a research plan including a possible thesis topic, before admission to the program. Faculty research interests are a critical factor in this preliminary decision.

The department is attempting to expand and strengthen its research activities and graduate students will play an important role in this endeavor. Almost all faculty members in the department receive external or internal funding to support their research programs.... [-]

PhD Thesis Research in Pure & Applied Mathematics

The purpose of the Ph.D. in Applied Mathematics is to provide qualifying students with an in-depth understanding and integrated knowledge of advanced applicable theory in the field of applied mathematics. A Ph.D. in Applied Mathematics is a pure science-based research study that requires candidates to demonstrate high-level research capability and make a significant and original academic contribution at the frontiers of the discipline of specialization.

The PhD in Applied Mathematics demands a very high level of intellectual, theoretical and practical specialized science knowledge and insight into problems related to the field of study and of the application of advanced experimental methods and techniques of the modern research, as well as of fundamental scientific and academic values in generating, processing, interpreting and presenting research data orally and in written form.... [-]

This proposal proposes an interdisciplinary doctorate whose itineraries in specific areas of specialization allow the formation of PhD students in different areas of knowledge (Fundamental Mathematics, Applied Mathematics, Statistics, Mathematical Transfer, Information Technologies, among others). In these moments, the scientific production and the formative capacity of the researchers of the different groups in the field of the Scientific Computing, Mathematical, Mathematical Models and Statistical Techniques advises the creation of a specific doctorate program, with its own identity, that allows the consolidation of the research and transfer activity in this area.

The Programme Doctoral Degree in Mathematical Methods and Numerical Simulation in Engineering and Applied Sciences Is an official university degree, taught jointly by the three Galician universities, which forms researchers in the field of mathematical modeling and numerical resolution of problems that arise in different industrial and business areas. In addition to the participating doctors from the three universities, it has the collaboration through an agreement of 27 companies and technological centers, which propose research topics of great relevance and topicality.

At present, with the rapid evolution of engineering and applied sciences, it is evident the need to train specialists at the doctoral level in the modeling and numerical simulation of processes that come from the industrial or business scope, so that Impel from the university the transfer of knowledge and the incorporation of doctors to the R & D & I departments. These doctors will have training in mathematical modeling and simulation aimed at optimizing processes, reducing costs, improving product quality, designing technologies, increasing safety, reducing environmental pollution, valuing products, investments and financial risks, etc.... [-]

The aim of the Ph.D. Course in Mathematical Analysis, Modelling, and Applications is to educate graduate students in the fields of mathematical analysis and mathematical modeling, and in the applications of mathematical and numerical analysis to science and technology. The goal is to enable PhDs to work as high-level researchers in these fields in universities, research institutes, and private companies.

The activity in Mathematical Analysis is mainly focused on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry and reduced order modeling are also developed.... [-]