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Problemas de autovalores de Steklov-Neumann e aplicações
(Universidade Federal de São Carlos, 2012-03-26) Godoi, Juliano Damião Bittencourt de; Tomazella, João Nivaldo; https://lattes.cnpq.br/0051564735964760; https://lattes.cnpq.br/7641553268884764
In this work we will obtain four main results of existence of weak solution, three of them to elliptic partial di_erential systems with nonlinear boundary conditions and the other to elliptic partial di_erential equations with nonlinear boundary conditions associated with operator p-laplacian. These results will be obtained when there is a kind of interaction among the reaction nonlinearities and the Neumann spectra and an interaction among the boundary nonlinearities and the Steklov spectra, associated with the systems or equations. The tool that we will use is fundamentally based on minimax methods in critical point theory.
Transmissão intergeracional de práticas relativas a estudo em famílias com estudantes no ensino básico
(Universidade Federal de São Carlos, 2012-03-26) Cunha, Renan Soares Mendes Teixeira da; Cortegoso, Ana Lúcia; https://lattes.cnpq.br/3853989531345390
Children socialization development is influenced by their parents through parental style and practices. Parents can assume the function of promoting agents of study behavior of their children through parental practices. Results of training programs directed to parents as study supervisors show that they have difficulties to behave more accordingly to supervision practices which the literature accepts as more adequate. An explicative hypothesis for that is that parents learned to supervise their children according to the conditions and models their parents used with them. This possibility can be illustrative of a situation of intergenerational transmission of parental practices relating to studying situation. Articulating with concepts of the Behavior Analysis, this research objective was to investigate which are the possible relations between the conditions created for the development of parents´ study repertory and the conditions created by parents to the development of their children study repertory. Participants of this research where representatives of three generations maternal grandmother, mother and child studying at the fundamental grades of public schools, of five families. Grandmothers were aged between 53 and 69 and had scholar degree between none and third grade of supplementary high school; mothers were aged between 33 and 41 and had scholar degree between second grade of fundamental school and post-graduation at a specialization level; children were aged between 9 and 13 and had scholar degree between third grade/fourth year and sixth grade/seventh year of fundamental school. Data were accessed through semi-structured interviews, taken individually and separately with each participant, at their residences or workplaces. The interviews were recorded, when agreed, or written down, when not agreed. All of the participants signed TCLEs. The research was approved by the Ethic Committee of UFSCar. The method of data analysis consisted in categorizing the collected information, grouping them into variables which influence studying (local of study, time of study, supervisor´s responses to mistakes and hits, etc.). Using the synthesis of the reports of the dyad mother-child related to the conditions focusing the child and of the reports of the dyad grandmother-mother related to past study conditions focusing the mother when she was a student, comparative frameworks were built, indicating which variables or variable values were similar or different between the three generations and, when it was possible, which kind of similarity. Finally, frameworks were built with synthesis of identifyed aspects, indicating intergenerational continuities and discontinuities to each family. Results showed that for Family 1, about the dyad grandmother-mother there was continuity for six variable values and discontinuity for four, about the dyad motherchild there was continuity for thirteen values and discontinuity for two; for Family 2, about the dyad grandmother-mother there was continuity for one variable value and no discontinuity, about the dyad mother-child there was continuity for six values and discontinuity for two; for Family 3, about the dyad grandmother-mother there was no continuity for one value and no discontinuity, about the dyad motherchild there was continuity for eleven values and discontinuity for eight; for Family 4, about the dyad grandmother-mother there was continuity for four variable values and discontinuity for one, about the dyad mother-child there was continuity for eight values and discontinuity for three. ; for Family 5, about the dyad grandmother mother there was continuity for five values and discontinuity for another five, about the dyad mother child there was continuity for eight values and discontinuity for seven. It was vereified a strong tendency of intergenerational continuity of responses, behaviors and conditions related to the study, accordingly to the initial hypothesis. Through the data it was possible to discuss which aspects of children study parents observe, value and consequence. Results can subside future training programs directed to parents as favoring of their children study behaviors.
O ensino de funções em escola técnica de nível médio por meio da modelagem matemática e uso da calculadora gráfica
(Universidade Federal de São Carlos, 2012-03-26) Bilhéo, Luiz Alfredo Dealis; Baldin, Yuriko Yamamoto; https://lattes.cnpq.br/8785562528979416; https://lattes.cnpq.br/7263619227486687
The difficulty of students in learning concepts of mathematics especially at high schools is current problem in Brazilian schools. This difficulty is a challenge even bigger as the different high school systems are considered, for example, the technical professional high schools. Such challenge for two classrooms of first grade (10th grade in K-12) of a technical course in environmental studies motivated the proposal of this dissertation. The research work explored a teaching methodology of the concept of function that would show to the student the importance of this concept in a technical course, while offering an opportunity to know about the mathematics modeling that uses functions, especially those from school curriculum. The final results of this dissertation consisted of working sheets that were planned, executed and evaluated in two classrooms. The worksheets are formatted so that they can be used by teachers who share the same challenge and interest in developing research to improve the teaching/learning mathematics at high - school level. The proposed activities are based on mathematics modeling of problems in the context of the students course, and on the educational use of a graphic calculator to construct tables, graphs and regression curves. The official documents from Ministry of Education (MEC) about curriculum standards and some theoretical references have been used for our reflections about the differences between traditional teaching style and new educational trends, and about the potential of technology to improve the learning. The work presents also a study of the concept of function that supported the planning of the proposed classroom activities.
Aplicação da fluidodinâmica computacional na avaliação da hidrodinâmica de estágio em colunas de destilação
(Universidade Federal de São Carlos, 2012-03-26) Justi, Gabriel Henrique; Gonçalves, José Antônio Silveira; https://lattes.cnpq.br/0337997526924402; https://lattes.cnpq.br/0170230384799537
The development of the design of chemical processes has received increasing improvement, incorporating sophisticated mathematical models, which allowed better simulation of its real behavior. The distillation column is one of the most widely used separation equipment in the industry and therefore, its perfect working and optimization are economically crucial factors. Thus, the study of the hydrodynamic in distillation column sieve trays has increased over the years with the purpose to optimize the flow patterns, which is of great importance on the mass and energy transfer efficient. Due to the development of powerful computers, advances in numerical methods and improvement in models of multiphase flows, the investigation of complex flow problems is possible. One way to investigate these problems is to use Computational Fluid Dynamics. Thus, in this work we used commercial package CFD software to predict the hydrodynamics in a sieve tray, with the main objective to evaluate the velocity fields and compare them with the experimental work of Solari and Bell (1986). We proposed a two-fluid model with Eulerian-Eulerian framework, three-dimensional (3D), steady-state and the standard k-ε turbulence model for air/water system at 1 atm. The continuity and momentum conservation equations were used to describe the gas and liquid phases. The simulated sieve tray geometry was based on experimental work of Solari e Bell (1986). The simulation domain included the downcomer region. New sieve tray geometry design was proposed to evaluate the hydrodynamics. The results show the velocity profiles, volume fractions and liquid recirculation zones on the sieve tray for several combination of liquid and gas flow rates. The simulation indicated the presence of recirculation and stagnation zones, and it reproduced satisfactorily the results of Solari e Bell (1986) and the new geometry design reduced the liquid recirculation zones on tray. The proposed methodology in this work proved to be appropriate and the Computational Fluid Dynamics (CFD) techniques presented to be an important tool in the design and optimization of sieve trays.