On Mathematical Modelling by EEE, ECE, ME Civil Post Graduate Students a Case Study Report

Recently the engineering institutes in India and abroad ignored the importance of mathematical modeling techniques in engineering teaching process and gave no places in their curriculum. In the present study the investigator applied random sampling on 15 post graduate engineering students, formulated four hypotheses connecting the innovative (attitude, relative advantage) and implementation variablion (utilisatation, satisfaction) and examined the relationships between the two variables. By using regression analysis, the result demonstrated that the two variables were significantly related. This implies the implementation of mathematical modeling in the engineering discipline was not successful. The investigator tried to identify the factors that would determine the successful implementation of mathematical modeling in the engineering discipline. It is critically important that mathematically trained and technologically competent research experts should be appointed and utilized as resources in the engineering research making bodies. Engineering research institutes with mathematical modeling facility should be collaborated with those that lack them to provide all research activities and opportunity to witness, learn from successful modeling related experiments.


Introduction
Recently the Engineering institutes in India and worldwide ignored the importance of mathematical modeling practices among the post engineering students and gave no place in their research curriculum. They ignored the critical input of mathematical modeling knowledge which is ultimately the key agents as regards conceptualizing and planning to make breakthrough. While ideally this radical departure from linear approach should have had a negative impact on post graduate engineering practices and technical viability of post graduate engineering teaching process, it nevertheless enjoyed significant success.
The application of mathematical modeling techniques become major problem in today's pharmaceutical research field. The investigator concerned with lack of mathematical modeling techniques and tried to identify the factors in order to improve the application of mathematics practices.
The immediate commitment of any engineering research organization is that all the research scholars must develop, sharpen and deepen their understanding mathematical modeling technique and its process. For this to occur a rigorous mathematical research curriculum must be recognized, taught and assessed in a problem solving environment The post graduate engineering system in India viewed as driving force in development of our county [17]. Mathematical modeling may have an impact on major industrial problem such as cost reduction and improvement of the device performance and efficiency [8]. Creation of knowledge based technological innovation and their commercialization through technology incubation would boot scholar's participation in knowledge creation and transfer process [15]. By quickly building human resources with key knowledge and skill, the research organization can help to develop responsiveness in the educational market [18]. Studies revealed that research organization culture and research practices play an important role in any research process. The main issues, which emerged, have been presented here in the form of following questions.
Does the post graduate engineering student's attitude is directly related to satisfaction with mathematical modeling technology?
Does the post graduate engineering student's attitude is directly related to utilization of mathematical modeling technology?
Does the post graduate engineering student's relative advantage is directly related to satisfaction with mathematical modeling?
Does the post graduate engineering student's relative advantage is directly related to utilizing of mathematical modeling?

Sampling and Data Collection
Samples of 15 post graduate engineering students (5-EEE, 5-ECE, 5-ME Civil), belong to Vivekananda College of Engineering for Women, Trichengodu, Namakkal (Dt), Tamil Nadu, INDIA were selected by random sampling for the study. Data was collected using a research tool developed by Rao (1993), which is specially prepared to measure attitude and innovative characteristics towards utilization and implementation of innovative process.

Method of Analyses
Spearman's correlation coefficient as well as by Scaffee's Post hoc test were used to chick relationships between innovative and implement variables.

Result
Majority of the respondents were unknown about mathematical modeling techniques. Among them only 55 percentage combined their attitude to 'aid educative instruction', 'to access engineering information', or 'to aid engineering administration'. The majority are in need of training in mathematical modeling technique. Among the engineering students majority study only few modeling journal. Percentage of members in any mathematical modeling association or user group is poor.

Attitude and Relative Advantage
The attitude of post graduate engineering students was generally positive towards mathematical modeling techniques. They believe mathematical modeling is a potential research tool, can bridge the educational gap and bring about better way of life for average research person. The data showed that the post graduate engineering students need to be assured that mathematical modeling techniques do not pose a threat to their research skills. Post graduate engineering students had a positive perception of the relative advantage compared to traditional method of research instruction. Mathematical techniques could enable quicker access to research administrative skills.

Satisfaction and Utilization
The post graduate engineering students perceived mathematical modeling as reliable, accurate, and meeting their innovative skills and they declared it as an essential research tool. They unable to ascertain the questions concerned with complexity. Some said mathematical modeling techniques did not enhanced their job as research scholars. Table 1 shows that the Spearman's correlation coefficient for attitude, relative advantages, with utilization are 0.428, 0.432 respectively. It is significant at 0.05. It is found that there is a positive significant relationship between utilization with attitude, relative advantages.  Table 2 shows that the spearman's correlation coefficient for attitude, relative advantages, with satisfaction are 0.496, 0.223 respectively. It is significant at 0.05. It is found that there is a positive significant relationship between satisfactions with attitude, relative advantages.

SCAFFEE'S Post Hoc Test for Utilization of Different Engineering Students
Scaffee's Post hoc test is used to find out where the difference occurs between utilization of different engineering students. An attempt has been made to analyze it. The Scaffee's post hoc test shows that utilization of mathematical modeling for EEE students are higher than the students of ECE and BE Civil, Utilization of mathematical modeling for ECE are higher than the BE Civil students.

SCAFFEE'S Post Hoc Test for Satisfaction of Different Engineering Students
Scaffee's Post hoc test is used to find out where the difference occurs between satisfactions of different engineering students. An attempt has been made to analyze it. The Scaffe's post hoc test shows that satisfaction of mathematical modeling for EEE students are higher than the students of ECE and BE Civil, satisfaction of mathematical modeling for ECE students are higher than the BE Civil students. Figure 1 shows the mean score difference between EEE, ECE, and ME Civil students and utilization, satisfaction of mathematical modeling. It reveals that satisfaction of mathematical modeling among EEE, ECE and BE Civil students is greater than utilization of mathematical modeling.

Discussion
The present investigation study is aimed at improving practice in the post graduate engineering students by implementing mathematical modeling techniques have the following research implications The importance of attitude, relative advantage in the utilization and satisfaction process underscores the need for strategic planning in mathematical modeling in EEE, ECE BE engineering teaching and training, designed to accomplish specific curriculum objectives.
The literature notes that making modeling compatible with ECE and BE Civil student's tasks will boost its utilization and satisfaction by specifying its role more precisely. mathematical modeling practice should be configured to accomplish specific tasks such as drawing conclusion, creative, innovative, logical thinking, abstract thinking, drawing inference, inter connections etc. EEE, ECE and BE Civil department curriculum should make guidelines for the effective use of modeling technology. The engineering educators must understand the direction of innovative scientific progress and can update their mathematical modeling technology training programs to meet emerging industrial need.
Strong commitment from post EEE, ECE and BE Civil students to embrace mathematical modeling technology is essential in attaining the country's goals of mathematical modeling use. Active involvement of ECE and BE Civil s students who are users and non-users is a practical means of moving the mathematical modeling initiative forward cadre of post graduate engineering students motivated by potential of mathematical modeling techniques can ignite the interest of others become users.

Conclusion
Consequently, the goal of this study was to identify this factors which leads to successful implementation of mathematical modeling in the EEE, ECE and ME Civils programme. Finally the shared involvement and leadership quality of pharmaceutical research scholars as well as policy makers facilitate a 'buy in' element that will guarantee the successful implementation of mathematical modeling technology throughout engineering education in India and in research community at large