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Mathematics is of fundamental importance to any natural sciences program (be-cause it provides analytical and approximate results that can be simulated and modeled) and perhaps to other areas of human knowledge. Ordinary differential equations are especially of fundamental importance to engineering programs be-cause the modeling of all phenomena of interest for these programs involves Or-dinary differential equations solutions; at the same time, students experience diffi-culties when learning Ordinary differential equations and about their applications to real physical scenarios. In this study, the problem-based learning method was used to study a group of mechanical engineering students at the SENAI CIMATEC University Center. The study analyzes the effectiveness of Ordinary differential equations instruction given through this program using the specified methodology. To consolidate the study, Conceptual Field Theory is used together with an evaluation of the results to observe student behaviors and attitudes in re-lation to actions arising from the method. At the end of the study, a questionnaire was completed by the students, with which they evaluated the effectiveness of the teaching methodology employed.

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With the intense demand for alternative energy matrices in the world and with regard to wind energy, the study has the objective of analyzing the time series of temperature in different regions, through the use of the DFA (Detrended Fluctuation Analysis) to verify the existence of power laws to analyze the temperature persistence of the studied regions. Thus, it is necessary to evaluate the temperature behavior in the wind speed, identify the existence of the offshore/onshore crossover phenomenon, propose temperature influences on the wind potential and, identify impacts of the proposed research on the circular economy. Preliminary results indicate the fractalized behavior of temperature in the prospected regions as well as the existence of the crossover phenomenon, which corroborates the existence of local wind potential.

Time series records of wind speeds are considered and the general objective is their non-classical statistical analysis on the continental shelf in various locations on the American continent (north, central and south) with the purpose of prospecting the existence of associated power laws as well as long-range correlations and as specific objectives the record of feasibility of local wind generation and description of its behavior. A methodology based on literature review and the use of the DFA (Detrended Fluctuation Analysis) technique is adopted. Data from meteorological stations (onshore and offshore) are used. Finally, preliminary, robust and continuous results show promising aspects and registration of the crossover phenomenon in some situations.

Este trabalho mostra a existência de correlações de longo alcance das séries históricas e temporais de velocidade do vento e radiação solar na cidade de Salvador (Bahia) provenientes de dados medidos em estações meteorológicas, além de simulações com o modelo de mesoescala WRF (Weather Research and Forecasting), através do método DFA (Detrended Fluctuation Analysis). Resultados preliminares indicam que as séries de dados locais são caracterizadas com persistência na velocidade do vento e radiação solar de forma satisfatória para a geração de energia, o que indica viabilidade da participação destas respectivas matrizes na matriz energética local.

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