Differential calculus and integration of generalized functions over membranes

In this paper we continue the development of the differential calculus started in Aragona et al. (Monatsh. Math. 144: 13-29, 2005). Guided by the so-called sharp topology and the interpretation of Colombeau generalized functions as point functions on generalized point sets, we introduce the notion of membranes and extend the definition of integrals, given in Aragona et al. (Monatsh. Math. 144: 13-29, 2005), to integrals defined on membranes. We use this to prove a generalized version of the Cauchy formula and to obtain the Goursat Theorem for generalized holomorphic functions. A number of results from classical differential and integral calculus, like the inverse and implicit function theorems and Green's theorem, are transferred to the generalized setting. Further, we indicate that solution formulas for transport and wave equations with generalized initial data can be obtained as well.

Introducing education for sustainable development in the undergraduate laboratory: quantitative analysis of bioethanol fuel and its blends with gasoline by using solvatochromic dyes

The concept of Education for Sustainable Development, ESD, has been introduced in a period where chemistry education is undergoing a major change, both in emphasis and methods of teaching. Studying an everyday problem, with an important socio-economic impact in the laboratory is a part of this approach. Presently, the students in many countries go to school in vehicles that run, at least partially, on biofuels; it is high time to let them test these fuels. The use of renewable fuels is not new: since 1931 the gasoline sold in Brazil contains 20 to 25 vol-% of bioethanol; this composition is being continually monitored. With ESD in mind, we have employed a constructivist approach in an undergraduate course, where UV-vis spectroscopy has been employed for the determination of the composition of two fuel blends, namely, bioethanol/water, and bioethanol/gasoline. The activities started by giving a three-part quiz. The first and second ones introduced the students to historical and practical aspects of the theme (biofuels). In the third part, we asked them to develop a UV-vis experiment for the determination of the composition of fuel blends. They have tested two approaches: (i) use of a solvatochromic dye, followed by determination of fuel composition from plots of the empirical fuel polarity versus its composition; (ii) use of an ethanol-soluble dye, followed by determination of the blend composition from a Beer's law plot; the former proved to be much more convenient. Their evaluation of the experiment was highly positive, because of the relevance of the problem; the (constructivist) approach employed, and the bright colors that the solvatochromic dye acquire in these fuel blends. Thus ESD can be fruitfully employed in order to motivate the students; make the laboratory "fun", and teach them theory (solvation). The experiments reported here can also be given to undergraduate students whose major is not chemistry (engineering, pharmacy, biology, etc.). They are low-cost and safe to be introduced at high-school level.

VIBRATIONAL ANALYSIS OF COORDINATION COMPOUNDS OF NICKEL (II): AN APPROACH TO THE TEACHING OF POINT GROUPS

VIBRATIONAL ANALYSIS OF COORDINATION COMPOUNDS OF NICKEL (II): AN APPROACH TO THE TEACHING OF POINT GROUPS. This paper presents an IR and Raman experiment executed during the teaching of the course "Chemical Bonds" for undergraduated students of Science and Technology and Chemistry at the Federal University of ABC, in order to facilitate and encourage the teaching and learning of group theory. Some key aspects of this theory are also outlined. We believe that student learning was more significant with the introduction of this experiment, because there was an increase in the discussions level and in the performance during evaluations. This work also proposes a multidisciplinary approach to include the use of quantum chemistry tools.

Teaching of the Integrated Management of Childhood Illness strategy in undergraduate nursing programs

Objective: To describe and analyze the teaching of the Integrated Management of hildhood Illness (IMCI) strategy on Brazilian undergraduate nursing programs. Method: Integrating an international multicentric study, a cross-sectional online survey was conducted between May and October 2010 with 571 undergraduate nursing programs in Brazil Results: Responses were received from 142 programs, 75% private and 25% public. 64% of them included the IMCI strategy in the theoretical content, and 50% of the programs included IMCI as part of the students’ practical experience. The locations most used for practical teaching were primary health care units. The ‘treatment’ module was taught by the fewest number of programs, and few programs had access to the IMCI instructional manuals. All programs used exams for evaluation, and private institutions were more likely to include class participation as part of the evaluation. Teaching staff in public institutions were more likely to have received training in teaching IMCI. Conclusion: In spite of the relevance of the IMCI strategy in care of the child, its content is not addressed in all undergraduate programs in Brazil, and many programs do not have access to the IMCI teaching manuals and have not provide training in IMCI to their teaching staff.

Does administering albumin to postoperative gastroschisis patients improve outcome?

OBJECTIVES: Newborns who undergo surgery for gastroschisis correction may present with oliguria, anasarca, prolonged postoperative ileus, and infection. New postoperative therapeutic procedures were tested with the objective of improving postoperative outcome. PATIENTS AND METHODS: One hundred thirty-six newborns participated in one of two phases. Newborns in the first phase received infusions of large volumes of crystalloid solution and integral enteral formula, and newborns in the second phase received crystalloid solutions in smaller volumes, with albumin solution infusion when necessary and the late introduction of a semi-elemental diet. The studied variables were serum sodium and albumin levels, the need for albumin solution expansion, the occurrence of anasarca, the length of time on parenteral nutrition, the length of time before initiating an enteral diet and reaching a full enteral diet, orotracheal intubation time, length of hospitalization, and survival rates. RESULTS: Serum sodium levels were higher in newborns in the second phase. There was a correlation between low serum sodium levels and orotracheal intubation time; additionally, low serum albumin levels correlated with the length of time before the initiation of an oral diet and the time until a full enteral diet was reached. However, the discharge weights of newborns in the second phase were higher than in the first phase. The other studied variables, including survival rates (83.4% and 92.0%, respectively), were similar for both phases. CONCLUSIONS: The administration of an albumin solution to newborns in the early postoperative period following gastroschisis repair increased their low serum sodium levels but did not improve the final outcome. The introduction of a semi-elemental diet promoted an increase in body weight at the time of discharge.