Archives-February 2013

In this paper I try to prove some relation about convergence of infinite series and infinite sequence. And also try to prove that if and are any two positive term convergent series then are also convergent series. And also try to give some examples which gives the support to the comparison test.

A lot of researches on student learning styles found that each student exhibits unique characteristics, learns differently and possess a particular learning style (Zhang, 2000). However, it is not clear if students need to possess certain learning styles to be high achievers. Therefore this study aims to explore the learning style/s of a high achieving student. An interview was conducted on a student who has achieved excellent grades in the study with at least two semesters in the President’s List. The results showed that the student has not adopted any specific learning styles in her study; rather combination of styles has been utilized.

Developments in the life sciences, whether in health, agriculture or the environment, have had an unexpected impact on life expectancy and the quality of life. Further, biotechnological inventions has already provided life-saving medicines such as monoclonal antibodies to treat cancer, human insulin to treat diabetes, erythropoietin to treat anaemia and cling to promise for cures for deceases currently regarded as untreatable. In the past decades biotechnology has been one of the fastest growing fields of technology among all. As the field covers a wide range of areas from micro-organisms to agriculture and medical applications, and involves publicly disputed techniques and products such as genetically modified plants, animal cloning or human embryonic stem cells, the ethical issue on patents is more heated & controversial than in other technological areas.

Biodiesel derived from nonedible feed stocks such as Mahua, Jatropha, Pongamia are detailed to be feasible choices for developing countries including India. This paper presents the results of investigation of performance and emissions characteristics of diesel engine using Mahua biodiesel. In this paper, the blends of varying proportions of Mahua biodiesel and diesel were prepared, analyzed and compared with the performance of diesel fuel, studied using a single cylinder diesel engine. The brake thermal efficiency, brake-specific fuel consumption, exhaust gas temperatures, Co, Hc, No, and smoke emissions was analyzed. The tests showed decrease in the brake thermal efficiencies (BTE) of the engine as the amount of Mahua biodiesel in the blend increased. The maximum percentage of reduction in BTE is 14.3% was observed for B-100 at full load. The exhaust gas temperature with the blends decreased as the proportion of Mahua increases in the blend. The smoke, Co, and No emissions of the engine were increased with the blends at all loads. However, Hc emissions of Mahua biodiesels were less than that of diesel.

Understanding in mathematics is mainly concerned with building up connections between mathematical concepts. Literature reveals if we are succeeded in embedding one mathematical concept into another then this lead to better understanding in mathematics. In pursuance of this idea twenty pre-lectures were prepared from grade 10th level mathematics textbook keeping in view the predictions of information processing model. In each pre-lecture efforts were made to build up connections between the previous, existing and coming mathematical concepts. To find out the effectiveness of pre-lectures and to in-depth the students concepts twenty post-tests were prepared keeping in view Blooms’ taxonomy. The subjects of this study consisted of two secondary schools in Cantt/ Garrison setup Peshawar Pakistan. The whole sample (n=114) consisted of boys (n=78) and girls (n=36). The boys’ sample (n=78) further divided into with pre-lecture group (n=39) and without pre-lecture group (n=39). Similarly the girls’ sample further divided into with pre-lecture group (n= 18) and without pre-lecture group (n=18). The data collection was continued through out the whole academic session 2011-12. The data analysis was made by using t-test at 5% level of significance. The results revealed as whole the students with pre-lecture performed significantly better than the students without pre-lecture. The findings outlined that the use of pre-lecture strengthened mathematical connections, which further enhanced their understanding in mathematics.

An analytical study is performed to study the effects of thermal radiation and chemical reaction on unsteady free convection and mass transfer of a viscous incompressible fluid past an accelerated infinite isothermal vertical plate in the presence of magnetic field. The fluid considered here is a gray, absorbing/ emitting radiation but a non-scattering medium. It is assumed that the effect of viscous dissipation is negligible in the energy equation and there is a first order chemical reaction between the diffusing species and the fluid. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. The influence of the various parameters, entering into the problem, on the velocity field and temperature field is extensively discussed with the help of graphs.

Teaching of Physics at secondary level of education is most crucial. Secondary education is a decisive stage of individual’s entire academic tenure; at this level any ambiguity regarding concepts may deprive an individual intellectually and potentially. Keeping importance of physics in view this study was intended to develop module based on some innovative practices to teach physics effectively. The objectives of this research were to analyze the current methods of content presentation of physics, commonly used to teach in secondary level classroom and to develop a concept maps for content presentation of physics for secondary level students.

Field Studies were conducted in order to determine the component of yield and response of soybean to soil applied Zinc and phosphorus in the Charnockitic soil of Ekiti State Nigeria. Three ZnSO₄ treatments 0,2 and 4kg/ha were applied to soybean in2006-2007 and grain yield was consistently and significantly increased by the 2kg/ha ZnSO₄ treatment. Three phosphorus treatments 0, 30 and 60kg/ha were applied to soybean in 2006-2007, but only 30kg/ha P treatment increased grain yield significantly in 2006-2007. 30kg P/ha applied increased leaf P in the charnockitic soil.

A study was conducted to determine the content and distribution of total 0.1M HCl and diethylene triamine penta acetic acid (DTPA) extractable zinc (Zn) in the genetic horizons of six (6) profiles formed from Chanockite parent rock in Ekiti State. The content of Total Zn for all the soils varied from 28 to 84mg/kg. Most of the soils had the highest concentration of total Zn in the surface horizons. There was a strong association between total Zn and organic carbon. Available Zn determined with 0.1M HCL extractable was higher than DTPA-extractable Zn. The values from the two extractants show that available Zn is clearly deficient. There would be need for Zn application to the soils for successful and profitable crop production.

Ce(IV) ion and sulphate ion loaded MCM-41 materials effectively catalyze the condensation of 1,2-aromatic diamine with 1,2-diketones to afford quinoxaline derivatives under milder reaction conditions. Significant role of concentration of Ce(IV) ion has been investigated and comparative studies of catalytic efficiencies of both Ce-MCM-41 and sulfated MCM-41 have also been discussed.  Both reagents are found to efficient and reusable with consistent catalytic activity.