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INDONESIA
E-Jurnal Matematika
Published by Universitas Udayana
ISSN : 23031751     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
E-Jurnal Matematika merupakan salah satu jurnal elektronik yang ada di Universitas Udayana, sebagai media komunikasi antar peminat di bidang ilmu matematika dan terapannya, seperti statistika, matematika finansial, pengajaran matematika dan terapan matematika dibidang ilmu lainnya. Jurnal ini lahir sebagai salah satu bentuk nyata peran serta jurusan Matematika FMIPA UNUD guna mendukung percepatan tercapainya target mutu UNUD, selain itu jurnal ini terbit didorong oleh surat edaran Dirjen DIKTI tentang syarat publikasi karya ilmiah bagi program Sarjana di Jurnal Ilmiah. E-jurnal Matematika juga menerima hasil-hasil penelitian yang tidak secara langsung berkaitan dengan tugas akhir mahasiswa meliputi penelitian atau artikel yang merupakan kajian keilmuan.
Arjuna Subject : -
Articles 6 Documents
 1 
Search results for , issue "Vol 9 No 2 (2020)" : 6 Documents clear
SOLUSI DARI PERSAMAAN CAUCHY–EULER NONHOMOGEN KASUS LOGARITMIK I GEDE PUTU MIKI SUKADANA; I NYOMAN WIDANA; KETUT JAYANEGARA
E-Jurnal Matematika Vol 9 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i02.p289

Abstract

Ordinary differential equation is one form of differential equations that are often found in everyday life. One form of ordinary differential equations which has non–constant coefficients is the Cauchy–Euler differential equation. In the nonhomogeneous Cauchy–Euler differential equations, the undetermined coefficient and the parameter variation were the most method that often used to find the particular solution. This paper aimed to show a new solution that was shorter than the previous methods for nonhomogeneous Cauchy–Euler differential equations with the right side was a logarithmic form. The new solution had been proven to produce the same solution as the ordinary solution sought using the undetermined coefficient method.
FAKTOR-FAKTOR KEPUASAN PENGGUNA TERHADAP KUALITAS PELAYANAN DI TERMINAL MENGWI BADUNG ZANUAR SEPTYADI; I GUSTI AYU MADE SRINADI; KETUT JAYANEGARA
E-Jurnal Matematika Vol 9 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i02.p290

Abstract

Customer satisfaction is the level of customer feeling towards the evaluation of perceived discrepancies between performance or perceived results compared to expectations. Quality is the level of excellence expected to meet customer desires which is a dynamic condition related to products, services, people, processes and the environment that meets or exceeds expectations. Factor analysis is a multivariate analysis method based on correlations between variables. This study discusses the factors of customer satisfaction with service quality in the Mengwi Badung Station. The factors of user satisfaction with the quality of service at the Mengwi Badung Station are caring, physical condition, guarantee, reliability, and responsibility factors.
PERHITUNGAN PREMI TAHUNAN TIDAK KONSTAN DAN CADANGAN BENEFIT ASURANSI LAST SURVIVOR DWIGUNA SANI SAEFULOH; I NYOMAN WIDANA; LUH PUTU IDA HARINI
E-Jurnal Matematika Vol 9 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i02.p286

Abstract

Last Survivor Insurance is life insurance for two or more participants with premiums paid until the death of the last participant. This study discusses last survivor endowment insurance for two participants in a married couple. Compensation is paid after the second person dies or both stills alive after the end of a contract. The purpose of this study is to determine the value of non-constant annual premium and benefits reserves in the last survivor endowment insurance. The equivalence principle is used for calculation of premiums. Furthermore, the benefit reserve formula is determined using a prospective method. The value of the benefit reserve will continue to increase as long as premium payments are still being made.
APLIKASI INTEGRAL DALAM BIDANG EKONOMI DAN FINANSIAL LUH PUTU IDA HARINI; KARTIKA SARI
E-Jurnal Matematika Vol 9 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i02.p291

Abstract

The characteristics of a function are usually investigated by looking at the continuity of the function. But what happens if a function does not have continuous properties? To what extent can the characteristics of continuous function be maintained for discontinuous cases? The stochastic function that is widely involved in solving problems in the field of average financial mathematics is a discontinuous function. This is reflected by the acquisition of a smooth curve from the modeling drawing obtained. Today, the nature of continuous functions in [a, b] has been widely studied and developed. Some properties of the continuous function can be extended to the appropriate discontinuous function. In this paper, there will be some integral reviews for discontinuous functions which are closely related to stochastic functions.
EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE FARAJ YACOOB ISHAK
E-Jurnal Matematika Vol 9 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i02.p287

Abstract

In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented.
FIT OF STATISTICAL FORECASTING MODEL BASED ON POVERTY VARIABLES IN BANGKA BELITUNG ISLAND PROVINCE DESY YULIANA DALIMUNTHE
E-Jurnal Matematika Vol 9 No 2 (2020)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2020.v09.i02.p288

Abstract

Poverty is one of the main problems in economic development and is considered to be a variable to measure the success of the economic development of a region. This study is limited to the analysis and determination of the best forecasting statistical model for the variable poverty rate in the Bangka Belitung Islands Province area based on R Square, Root Mean Squared Error (RMSE) and Mean Absolute Percentage Error (MAPE) assessments. This study uses the Exponential Smoothing forecasting method which emphasizes the procedure of continuous improvement of the latest observation objects which hopefully can provide the appropriate results. In general, the double exponential smoothing model from Holt's is the best projection model compared to other exponential smoothing models for projecting poverty data in the Bangka Belitung Islands Province with historical data for 2002-2018 with an increase in projections in 2019 of 0.37 % with Upper Criteria Limit (UCL) of 1.07% and Lower Criteria Limit (LCL) of -0.33% with a value of R Square of 0.627 which means that the independent variable can explain the variance of the dependent variable of 62.7% of this model, and the value of RMSE is 0.328 and MAPE is 22.162. The results of this model when compared to other models have relatively larger R Squared values ??and smaller RMSE and MAPE values.

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