The Academic Master’s program on Modeling and Quantitative Methods (PPGMMQ) of the Federal University of Ceará (UFC) has a single concentration area, called Modeling and Quantitative Methods, which covers the development and application of quantitative models and methods for the study and solution of complex problems that require a multi or interdisciplinary approach involving mathematical, statistical or computational techniques.
The description and analysis of problems through quantitative models are widespread activities. One of the biggest difficulties, however, in this process is the fact that understanding the problem and translating it into mathematical expressions often requires, especially in the case of complex problems, the integrated work of professionals with knowledge in the domain of application and in mathematical modeling. These professionals need to establish collaboration at different levels, from the use of a clear language to the definition of an evaluation of the results obtained that actually reflects the expectations of the areas involved. Interdisciplinary training is of great value in these contexts.
This area of concentration is divided into two lines of research. The first, called Modeling and Quantitative Analysis. This line of research aims to act in the modeling of complex systems, which involve applications in the areas of physics, chemistry, engineering, biological systems, social behavior, among others. It is expected to develop statistical and mathematical models that guarantee forecasts, trend indicators and treatment of uncertain/inaccurate data, which can assist decision making and contribute to the development of technological innovations.
The second line of research, called Computational Intelligence and Optimization, aims to effectively develop and apply advanced computation methods and techniques, using as a basis mathematical models representative of highly complex problems. The methodologies employed, in an integrated manner, come from areas such as computational intelligence, discrete and continuous optimization, and high performance computing. The growing challenge of finding optimized solutions to real problems arising from companies/industries, aiming to add value to their products, has inspired the development of methods based on more efficient computational intelligence and optimization.
The main characteristic common to these lines of research, which are part of the Multidisciplinary/Interdisciplinary area, is that the problems studied have a motivation and demand skills that transcend the areas of Computer Science, Statistics and Mathematics, as it is necessary to interact with other areas of knowledge to obtain an adequate modeling and satisfactory solutions. It is worth mentioning that the training of the faculty of this graduate program covers all areas of knowledge required to allow the advancement of knowledge in the interdisciplinary scope of the subjects mentioned.