• 한국수학교육학회지시리즈E:수학교육논문집
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• 제19권4호
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• pp.587-597
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• 2005

Mathematics education for social science majors at the college level could be a totally different subject from mathematics education for mathematics majors. We discuss goals, curriculum and effective teaching of mathematics for social science majors with a focus on business, management and economics at the college level.

• Journal of applied mathematics & informatics
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• 제28권3_4호
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• pp.877-882
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• 2010

In this paper, a third-order three-point boundary value problem on time scales is considered. We establish criteria for the existence of a solution and a positive solution by using the Leray-Schauder fixed point theorem. An example is also given to illustrate our results.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제34권3호
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• pp.373-391
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• 2020

본 연구는 2015 개정 교육과정에서 처음으로 고시한 <경제수학> 과목의 교과서에 대한 분석 연구이다. <경제수학> 교과서는 상경계열을 지원하는 학생을 위해 개발된 최초의 교과서라는 면에서 교육적 의의가 매우 높다. 이에 본 연구에서는 <경제수학> 교과서가 교육과정 개발자가 제시하고 교과서 인정 기관에서 구체화한 교과서 편찬상의 유의점과 일관성이 있는지 분석하고, 국가에서 고시한 수학과 교육과정과 일관성이 있는지 분석한다. 본 연구에서의 일관성에 대한 분석 결과 <경제수학> 교과서의 내용은 부분적으로 일관성이 있지만, 그렇지 않은 부분도 다수 나타났다. 본 연구의 결과로 볼 때, 향후 고등학교 선택과목의 검·인정에 있어 보다 철저한 기준 마련과 일관성을 유지하기 위한 구체적인 기준의 제시가 요구된다.

• Kyungpook Mathematical Journal
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• 제19권2호
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• pp.213-214
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• 1979

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.101-112
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• 2007

In this paper, by using fractional power of operators and Sadovskii fixed point theorem, we study the controllability of abstract neutral functional integrodifferential systems with infinite delay. As application, an example is provided to illustrate the obtained results.

• Kyungpook Mathematical Journal
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• 제56권2호
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• pp.409-418
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• 2016

In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.

• Journal of applied mathematics & informatics
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• 제32권3_4호
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• pp.343-357
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• 2014

In many non-life insurance applications past data are given in a form known as the run-off triangle. Smoothing such data using parametric crisp regression models has long served as the basis of estimating future claim amounts and the reserves set aside to protect the insurer from future losses. In this article a fuzzy counterpart of the Hoerl curve, a well-known claim reserving regression model, is proposed to analyze the past claim data and to determine the reserves. The fuzzy Hoerl curve is more flexible and general than the one considered in the previous fuzzy literature in that it includes a categorical variable with multiple explanatory variables, which requires the development of the fuzzy analysis of covariance, or fuzzy ANCOVA. Using an actual insurance run-off claim data we show that the suggested fuzzy Hoerl curve based on the fuzzy ANCOVA gives reasonable claim reserves without stringent assumptions needed for the traditional regression approach in claim reserving.

• 대한수학회논문집
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• 제37권4호
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• pp.1181-1197
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• 2022

We give a complete classification of simply connected and solvable real Lie groups whose nontrivial coadjoint orbits are of codimension 1. This classification of the Lie groups is one to one corresponding to the classification of their Lie algebras. Such a Lie group belongs to a class, called the class of MD-groups. The Lie algebra of an MD-group is called an MD-algebra. Some interest properties of MD-algebras will be investigated as well.

• Journal of applied mathematics & informatics
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• 제26권1_2호
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• pp.191-201
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• 2008

In this paper, we consider an insurance risk model governed by a compound Binomial arrival claim process and by a compound Binomial arrival premium process. Some formulas for the probabilities of ruin and the distribution of ruin time are given, we also prove the integral equation of the ultimate ruin probability and obtain the Lundberg inequality by the discrete martingale approach.

• 대한수학회보
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• 제52권2호
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• pp.619-626
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• 2015

This paper considers regularity for the p-harmonic and Ostwald-de Waele flows. Some Serrin's type regularity criteria are established for 1 < p < 2.