new variable step size algorthm for solving initial value problems

Polynomials constructed by usual interpolation methods are less accurate as compared to the tools due to Chebyshev. Hence the use of Chebychev's nodes to produce the solution of initial value problems promises more accurate results. In this work a new algorithm is developed using nodes generated by Chebychev's method that are used as points where solution are produced for a number of Linear and Non-Linear Initial Value Problems using classical Runge-Kutta method. The improvement in accuracy is found even when the number of nodes is small, that makes this algorithm better than other valuable step-size methods

comparison between students' attitudes and their performance regarding the factors influencing learning and exam results

Various educational approaches to learning have been proposed. It is, of course, of vital importance to study those that have resulted in effective educational achievements. To assess the student's attitudes and performance in order to evaluate educational approaches and identify the variables leading to students gaining good marks. The subjects of the study were medical students at pathophysiology phase. A multiple-choice questionnaire was prepared, the reliability and validity of which were confirmed. A paired-sample T-test was used to compare and analyze the student's Basic Sciences Comprehensive Exam scores in each discipline and their average score during the basic sciences course. With respect to attitudes, the students highly valued the importance of teacher's methodology and mutual respect, as an influential factor in learning. Furthermore, the majority of the students relied heavily on their textbooks as the main source of information and preferred to study at home, rather than any other places. Most of the students prefer to study in the morning. They believed that mid-term exams, quizzes, and active class participation do not have much effect on learning. However, it was of high importance to them to attend practical classes [labs]. With respect to performance, most of the students used lecture notes as the main references, and considered their home as a good place to study and preferred to study in the morning, but have participated in theoretical and practical classes regularly. Most successful students attributed their success to active class participation, taking mid-term exams, quizzes, and using library. Having analyzed the data, we recommend the authorities to provide more methodology workshops for teachers, sufficient number of textbooks, expanding or increasing the number of the reading rooms with essential equipment