CAJ | 학술논문

曲线积分计算往往存在技术性的困难 ,若利用"正交变换" (二次型)"等有关理论去解决这些计算问题 ,则往往有功效.文[1] ,[2]给出了正交变换(二次型)在重积分中应用.现将在多年的教学实践中 ,以"正交变换"为工具 ,处理了二元二次型的面积问题 ,简捷的处理了一大类第二型曲线积分的问题的教学方法整理出来.这些方法与结果不但对从事大学数学教学有一定的实用性 ,而且对从事金融数学的教学研究也有着一定参考价值 .
곡선적분계산왕왕존재기술성적곤난 ,약이용"정교변환" (이차형)"등유관이론거해결저사계산문제 ,칙왕왕유공효.문[1] ,[2]급출료정교변환(이차형)재중적분중응용.현장재다년적교학실천중 ,이"정교변환"위공구 ,처리료이원이차형적면적문제 ,간첩적처리료일대류제이형곡선적분적문제적교학방법정리출래.저사방법여결과불단대종사대학수학교학유일정적실용성 ,이차대종사금융수학적교학연구야유착일정삼고개치 .
There exists technique difficulties in calculating curve integrals ,but it is often effective by using orthogonal transformation (quadratic form ) theory to solve these problems .References [1] and [2] gave the applications of the orthogonal transformation (quadratic form ) in multiple integral .Through many years' teaching experience ,we treats area problems ofbinary quadratic forms by using orthogonal transformation and successfully resolved many problems of curve integrals .These methods and results are of reference value to the teaching research of finance mathematics .