• Communications of the Korean Mathematical Society
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• v.38 no.4
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• pp.1163-1173
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• 2023

In this paper, we prove the Hyers-Ulam stability and Mittag-Leffler-Hyers-Ulam stability of a differential equation of Logistic growth in a population by applying Laplace transforms method.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.9 no.5
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• pp.1479-1486
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• 2008

Recently, the number of applicants for the engineering college is gradually decreased all over the nation. Additionally, the concerns of fall of freshman mathematical ability are raised due to the incomplete high school education. Therefore, the local universities endeavor in order to improve the quality of mathematics education, and study the countermeasure against the crisis. As part of these efforts, Sang-Myung University founds the innovation center for engineering education. The center derives several ideas in order to enhance the mathematics education quality. In this paper, the enhancement plans for the mathematics education in Sang-Myung University are proposed. Results in this paper will be helpful for other university to enhance the mathematics education as reference materials.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.11 no.1
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• pp.41-56
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• 2007

A 3-partite 2-digraph is an orientation of a 3-partite multi-graph that is without loops and contains at most two edges between any pair of vertices from distinct parts. Let D(X, Y, Z) be a 3-partite 2-digraph with ${\mid}X{\mid}=l,\;{\mid}Y{\mid}=m,\;{\mid}Z{\mid}=n$. For any vertex v in D(X, Y, Z), let $d^+_{\nu}\;and\;d^-_{\nu}$ denote the outdegree and indegree respectively of v. Define $p_x=2(m+n)+d^+_x-d^-_x,\;q_y=2(l+n)+d^+_y-d^-_y\;and\;r_z=2(l+m)+d^+_z-d^-_z$ as the marks (or 2-scores) of x in X, y in Y and z in Z respectively. In this paper, we characterize the marks of 3-partite 2-digraphs and give a constructive and existence criterion for sequences of non-negative integers in non-decreasing order to be the mark sequences of some 3-partite 2-digraph.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.2 no.1
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• pp.72-87
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• 1998

The subject of this research is to determine the optimal pumping rate so that seawater can not intrude so much to the freshwater region. There are several ingradients affecting the fluctuation of the interface: some geological parameters, fluid parameters, the precipitation, artificial recharge and discharge(due to pumping) are such ones. The parameter of particular interest is the pumpage of freshwater. In this article all the parameters are assumed to be known except the freshwater pumping rate. By considering a suitable inverse or parameter estimation problem we want to determine the pumpage which will not make the interface rise over the permissible bound.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.21 no.4
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• pp.245-275
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• 2017

The present investigation deals, Dufour and heat source effects on radiative MHD slip flow of a viscous fluid in a parallel porous plate channel in presence of chemical reaction. The non-linear coupled partial differential equations are solved by using two term perturbation technique subject to physically appropriate boundary conditions. The numerical values of the fluid velocity, temperature and concentration are displayed graphically whereas those of shear stress, rate of heat transfer and rate of mass transfer at the plate are presented in tabular form for various values of pertinent flow parameters. By increasing the slip parameter at the cold wall the velocity increases whereas the effect is totally reversed in the case of shear stress at the cold wall. It is observed that the effect of Dufour and heat source parameters decreases the velocity and temperature profiles.

• Journal of Engineering Education Research
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• v.22 no.5
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• pp.3-12
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• 2019

Due to the expansion of rolling admissions and diversification of college admissions, the widening gap between the level of scholastic ability and academic performance is the reality of college education. Thus, based on the incoming class of College A, this study analyzes the correlation between incoming students who enrolled in a college mathematics course during their first semester. Through this analysis, this study searches for a way to efficiently instruct students from various learning backgrounds when enrolled in the same course. Also, this study searches for a solution to lower the deviation of college mathematics' academic performance among engineering majors by examining the efficiency of a joint managed college mathematics curriculum.

• Journal of applied mathematics & informatics
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• v.37 no.5_6
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• pp.341-349
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• 2019

This paper is concerned to investigate M-Wright function, which was earlier known as transcendental function of the Wright type. M-Wright function is a special case of the Wright function given by British mathematician (E.Maitland Wright) in 1933. We have explored the cosequences of Riemann-Liouville Integral and Differential operators on M-Wright function. We have also evaluated integral transforms of the M-Wright function.

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.769-784
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• 2022

The main theme of this present paper is to study ordered semigroups in the context of anti-hybrid interior ideals. The notion of anti-hybrid interior ideals in ordered semigroups is introduced. We prove that the concepts of ideals and interior coincide in some particular classes of ordered semigroups; regular, intra-regular, and semisimple. Finally, the characterization of semisimple ordered semigroups in terms of anti-hybrid interior ideals is considered.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.295-303
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• 2005

Students' mathematics application ability is a hot spot which mathematics education pays attention. So, I have carried on the test of mathematics application and the questionnaire survey to student of Senior One of the two middle schools. Through the test and the investigation, I discover that the level of the students' mathematics application ability is not high. To the simple application question, the difference of the male and the female is not big, but to the difficult application question, the male and the female has the remarkable difference. The students' lack of flexible and the original cognition monitoring ability in mathematics application process are afraid of studying mathematics application since childhood and lack of the training of this aspect. They thought mathematics foundation and reading understood ability is the key of mathematics application. Through analysis result of investigation, this paper proposed the way to raise mathematics application ability of students.

• Journal of the Korean earth science society
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• v.36 no.5
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• pp.484-499
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• 2015

This study explores the impact of a STEM integration teacher professional development program focusing on teachers' perception of engineering and their attitudes toward integrating engineering into teaching. A total of sixty-eight teachers from ten schools participated in the program for five days. Data are collected from three main sources including (1) pre and post concept maps probing teachers' perceptions about the engineering discipline, (2) a pre and post survey measuring teachers' self-efficacy of teaching science/mathematics within the engineering context, and (3) engineering integrated science and (or) mathematics lesson plans and teaching reflections. This study utilizes both qualitative and quantitative research methods depending on the data we have collected. The results show that both science and math teachers thought that integrating engineering into teaching provided valuable outcomes, i.e., promoting students' learning about engineering and improving their interest in science or math through real-world problem solving exercises. Participants also felt more comfortable about integrating engineering in their teaching after the program. The results also imply that the teachers' understandings of engineering become more concrete after the program. This study also provides an overview of the challenges and advantages of teaching engineering in K-12 science and mathematics classrooms.