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Yopi Andry Lesnussa, S.Si., M.Si
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yopi_a_lesnussa@yahoo.com
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Redaksi BAREKENG: Jurnal ilmu matematika dan terapan, Ex. UT Building, 2nd Floor, Mathematic Department, Faculty of Mathematics and Natural Sciences, University of Pattimura Jln. Ir. M. Putuhena, Kampus Unpatti, Poka - Ambon 97233, Provinsi Maluku, Indonesia Website: https://ojs3.unpatti.ac.id/index.php/barekeng/ Contact us : +62 85243358669 (Yopi) e-mail: barekeng.math@yahoo.com
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Kota ambon,
Maluku
INDONESIA
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Published by Universitas Pattimura
ISSN : 19787227     EISSN : 26153017     DOI : https://search.crossref.org/?q=barekeng
BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure Mathematics (analysis, algebra & number theory), - Applied Mathematics (Fuzzy, Artificial Neural Network, Mathematics Modeling & Simulation, Control & Optimization, Ethno-mathematics, etc.), - Statistics, - Actuarial Science, - Logic, - Geometry & Topology, - Numerical Analysis, - Mathematic Computation and - Mathematics Education. The meaning word of "BAREKENG" is one of the words from Moluccas language which means "Counting" or "Calculating". Counting is one of the main and fundamental activities in the field of Mathematics. Therefore we tried to promote the word "Barekeng" as the name of our scientific journal also to promote the culture of the Maluku Area. BAREKENG: Jurnal ilmu Matematika dan Terapan is published four (4) times a year in March, June, September and December, since 2020 and each issue consists of 15 articles. The first published since 2007 in printed version (p-ISSN: 1978-7227) and then in 2018 BAREKENG journal has published in online version (e-ISSN: 2615-3017) on website: (https://ojs3.unpatti.ac.id/index.php/barekeng/). This journal system is currently using OJS3.1.1.4 from PKP. BAREKENG: Jurnal ilmu Matematika dan Terapan has been nationally accredited at Level 3 (SINTA 3) since December 2018, based on the Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia, with Decree No. : 34 / E / KPT / 2018. In 2019, BAREKENG: Jurnal ilmu Matematika dan Terapan has been re-accredited by Direktur Jenderal Penguatan Riset dan Pengembangan, Kementerian Riset, Teknologi, dan Pendidikan Tinggi, Republik Indonesia and accredited in level 3 (SINTA 3), with Decree No.: 29 / E / KPT / 2019. BAREKENG: Jurnal ilmu Matematika dan Terapan was published by: Mathematics Department Faculty of Mathematics and Natural Sciences University of Pattimura Website: http://matematika.fmipa.unpatti.ac.id
Articles 1,248 Documents
PENERAPAN MODEL PEMBELAJARAN SNOWBALL THROWING UNTUK MENINGKATKAN KEAKTIFAN MATEMATIS MATERI LINGKARAN PADA SISWA SMP Novitasari, Julia; Pujiastuti, Heni
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (663.368 KB) | DOI: 10.30598/barekengvol14iss3pp357-366

Abstract

Student activeness in the class student of VIII H SMPN 1 Ciruas second term 2019/2020 year on mathematics subjects on circle material still in percentage 59,64% of the total 33 students, so that result less than expected value by researcher which is 65%. Based on these problems, it is necessary to make improvements to the learning model. For that researchers conduct research with the purpose to increase student activity in mathematics. Method of research is classroom action research. The object of the research is the application of the snowball throwing model. This research was conducted in two cycles, cycle I consists of one meeting and cycle II consists of two meetings. Stages in this cycle is (1)Planning, (2)Action, (3)Observer, (4)Reflection. The data collection method used were observation, questionnaires and documentation. Based on the results of data analysis by descriptive quantitative obtained, that an increase in student activity with a percentage of activity in cycle I to cycle II. Cycle I from the observations of researchers, it was found that the results of student activeness were equal to 45,88% and from the questionnaire is 59,64%. Then on cycle II reaches a value of 67,09% from the activeness standard set by the researcher which is 65%. So that the percentage in crease can be obtained from the cycle I to cycle II. The conclusion is that by applying the snowball throwing learning model on learning mathematics circle material in class student VIII H SMPN 1 Ciruas an increase in student activity.
PENGARUH HARI RAYA IDUL FITRI TERHADAP INFLASI DI INDONESIA DENGAN PENDEKATAN ARIMAX (VARIASI KALENDER) Susila, Muktar Redy
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (817.686 KB) | DOI: 10.30598/barekengvol14iss3pp367-376

Abstract

The inflation rate is very important for the government to maintain the stability of the country's economy. If inflation cannot be controlled, the prices of goods and services will rise uncontrollably. Eid al-Fitr causes increase basic needs price. It is assumed that abnormal prices have an effect on inflation. The purpose of this study is to calculate the effect of Eid Al-Fitr to Indonesian monthly inflation. The ARIMAX (Calendar Variation) method is used to determine the effect of Eid Al-Fitr on Indonesian monthly inflation. The data used in this study is the monthly inflation by Badan Pusat Statistik. The characteristics of inflation in July 2008 to June 2019 are unique. The average of inflation is 0,39 and the variance of inflation is 0,26. The ARIMAX model shows that January, May, June, July, August, November, December, and Eid Al-Fitr has a significant effect on Indonesian monthly inflation. The effect of the Eid Al-Fitr was 0,47. The meaning of this number is that when Eid al-Fitr arrives, inflation will increase by 0,47.
APPLICATION OF DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING HIV MODEL WITH ANTI-VIRAL TREATMENT Bunga, Esther Y.; Ndii, Meksianis Z.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (694.352 KB) | DOI: 10.30598/barekengvol14iss3pp377-386

Abstract

Mathematical models have been widely used to understand complex phenomena. Generally, the model is in the form of system of differential equations. However, when the model becomes complex, analytical solutions are not easily used and hence a numerical approach has been used. A number of numerical schemes such as Euler, Runge-Kutta, and Finite Difference Scheme are generally used. There are also alternative numerical methods that can be used to solve system of differential equations such as the nonstandard finite difference scheme (NSFDS), the Adomian decomposition method (ADM), Variation iteration method (VIM), and the differential transformation method (DTM). In this paper, we apply the differential transformation method (DTM) to solve system of differential equations. The DTM is semi-analytical numerical technique to solve the system of differential equations and provides an iterative procedure to obtain the power series of the solution in terms of initial value parameters. In this paper, we present a mathematical model of HIV with antiviral treatment and construct a numerical scheme based on the differential transformation method (DTM) for solving the model. The results are compared to that of Runge-Kutta method. We find a good agreement of the DTM and the Runge-Kutta method for smaller time step but it fails in the large time step
PEMODELAN ARUS LALU LINTAS DAN WAKTU TUNGGU TOTAL OPTIMAL DI PERSIMPANGAN JL. JEMUR ANDAYANI AHMAD YANI SEBAGAI UPAYA MENGURAI KEMACETAN Farida, Yuniar; Fanani, Aris; Purwanti, Ida; Wulandari, Luluk; Zaen, Nanida Jenahara
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (958.491 KB) | DOI: 10.30598/barekengvol14iss3pp387-396

Abstract

One crossroad of ​​Surabaya whose high level of congestion is the crossing of Jemur Andayani – Ahmad Yani Street. It needs to Improve traffic management, geometric, and signal time to obtain optimal traffic performance. The purpose of this study is to make a model of traffic flow and determine the optimal total waiting time at the crossing of Jemur Andayani – Ahmad Yani using Compatible Graph. Compatible graphs are two sets where vertices indicate objects to be arranged and edges indicate compatible pairs of objects. Compatible traffic flow is two traffic flows which if both of them run simultaneously can run safely and not collide. The results of the optimal waiting time calculation using a compatible graph assuming the left turn following the lamp is 75 seconds. While the optimal total waiting time by assuming the left turn not following the lights is 60 seconds. The optimal total waiting time is smaller than the actual total waiting time currently applied at Frontage Ahmad Yani street, which is 170 seconds by assuming turn left following the lights.
MEMAKSIMALKAN KEUNTUNGAN HARIAN PADA INDUSTRI RUMAHAN “NANDA JAYA” DENGAN PENERAPAN METODE SIMPLEKS Susanto, Lukas
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (963.446 KB) | DOI: 10.30598/barekengvol14iss4pp535-542

Abstract

The home industry "Nanda Jaya" produces banana chips, cassava chips and tempe chips daily. From preliminary observations, information is obtained that in determining the composition of the number of units for each type of chips produced, and determining the selling price of the product per unit, is carried out on the basis of experience while running the business, so there is no optimal way to determine it. With this condition, the company's profit needs to be reviewed whether it is optimal or not. The purpose of this research is to determine the number of production units of each type of chips, in order to obtain maximum profit and also determine the efficiency that occurs in the utilization of cost and time resources. Data collection was carried out by observation and interviews. The mathematical model of the research problem is a linear program problem with three variables that can be solved by the simplex method. From the results of data analysis, it was concluded that in order to obtain maximum profit, the company had to produce 74 units of Banana Chips, 161 units of Cassava Chips and Tempe Chips not to be produced. Maximum profit is Rp. 285,387, - (previously Rp. 247,000, -), Production Capital was reduced to Rp. 889,613, - (previously Rp. 928,000, -), while the total available time was used up.
PEMODELAN REGRESI SPASIAL INVESTASI LUAR NEGERI YANG MASUK KE INDONESIA Susila, Muktar Redy; Putri, Rizfanni Cahya; Arini, Dian
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (835.063 KB) | DOI: 10.30598/barekengvol14iss4pp543-556

Abstract

One of the important factors in the growth of a country's economy is investment. Sources of investment are divided into two, namely foreign investment and domestic investment. There are many benefits of foreign investment. These benefits are such as for development, employment, tax revenue, increasing foreign exchange, international trade, strengthening friendship with foreign countries and much more. The purpose of this research is to modeling of foreign investment in Indonesia using spatial regression. The predictor variables used are the number of labor and the net monthly salary. Based on the results of research analysis obtained information that the West Java province is the highest province to get investment funds from abroad. The highest net monthly salary in Indonesia is DKI Jakarta province. The highest number of labor in Indonesia is West Java Province. Based on the results of the Lagrange Multiplier test which showed a significant Lagrange Multiplier (lag) with a p-value < α = 5%. That's shows for the number of labor, the net monthly salary, and the foreign investment in Indonesia fulfill the spatial dependencies assumption. Based on the spatial regression model shows the number of labor, the net monthly salary, and the weighting has a significant impact on foreign investment in Indonesia.
PERAMALAN SUHU UDARA DAN DAMPAKNYA TERHADAP KONSUMSI ENERGI LISTRIK DI KALIMANTAN TIMUR Susanti, Lisa; Hasanah, Primadina; Winarni, Winarni
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1101.3 KB) | DOI: 10.30598/barekengvol14iss3pp397-410

Abstract

The increase in air temperature due to climate change and global warming has become a major concern for policy makers, one of which is the government of East Kalimantan. Electric energy consumption has a close relationship with economic development in East Kalimantan. So it is necessary to forecast the temperature of air in order to predict the consumption of electrical energy in the future. The purpose of this study was to determine the forecasting of air temperatures in East Kalimantan, namely the cities of Balikpapan, Samarinda and Berau and to determine the relationship between air temperature and electricity consumption in East Kalimantan. In this study, the method used is the ARIMA (Autoregressive Integrated Moving Average) and multiple linear regression methods. The results of the analysis using the ARIMA method obtained the best models for the cities of Balikpapan, Samarinda and Berau respectively, namely ARIMA(1,1,1), ARIMA(1,1,1) and ARIMA(3,1,0). Based on the results of multiple linear regression obtained R-square value of 39%, which mean that the influence of air temperature on the consumption of electrical energy is 39%. From the results of the t test and F test, it is known that air temperature has a significant effect on the increase in electricity consumption in East Kalimantan
PENERAPAN MODEL INTEGER LINEAR PROGRAMMING DALAM OPTIMASI PENJADWALAN PERKULIAHAN SECARA OTOMATIS Wungguli, Djihad; Nurwan, Nurwan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
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Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1001.471 KB) | DOI: 10.30598/barekengvol14iss3pp411-422

Abstract

Lectures scheduling is a difficult administrative task for universities. This happens because in lectures scheduling must combine the number of courses, approve the room, day and period, as well as teaching lecturers. The purpose of this article is to create an optimization model for courses scheduling using integer linear programming to minimize the level of dissatisfaction between lecturers and students. This model is applied to making a schedule in the Mathematics Study Program at Gorontalo State University. In this research, data and information collected about the scheduling of lectures as a basis for making models. There are 55 study groups scheduled in 4 rooms, 5 days and 12 time periods. Furthermore, the scheduling optimization model is made in the form of integer linear programming and is solved by LINGO 18.0 software. The result obtained from this study is a lecture schedule that is free of conflict. Lectures scheduling produced meets the requirements and requests for lecturers and students in the Mathematics Study Program. In addition, the resulting model can help the time needed to do the scheduling.
PENDEKATAN PRINCIPAL COMPONENT ANALYSIS PADA DATA DEMAM BERDARAH DENGUE DI PROVINSI MALUKU UTARA Ririhena, Seba; Loklomin, Samsul Bahri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
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Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1101.351 KB) | DOI: 10.30598/barekengvol14iss4pp557-564

Abstract

North Maluku Province is one of the provinces with many cases of Dengue Hemorrhagic Fever (DHF) in Eastern Indonesia. Various factors cause the increase of DHF such as environment, personal hygiene and inadequate health infrastructure in North Maluku Province The purpose of this research is to group the multivariable of dengue cases into several simpler components using the Principal Component Analysis (PCA) method. The PCA method is a statistical technique for reducing a large number of variables to become simpler. The results showed that 1 variable did not meet the KMO value so that the variable was eliminated. All variables after eliminating one of the variables are tested to meet the KMO and MSA values. All predictors in this study form 1 predictor component variable used are non-labor force population (X1), medical personnel (X2), vulnerable age population (X3), workforce population (X4), villages with health facilities (X5), health facility (X6).
PREDIKSI PENCURIAN SEPEDA MOTOR MENGGUNAKAN MODEL TIME SERIES (STUDI KASUS: POLRES KOTABUMI LAMPUNG UTARA) Pranata, Meli; Anggraini, Dian; Makbuloh, Deden; Rinaldi, Achi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
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Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (739.924 KB) | DOI: 10.30598/barekengvol14iss3pp423-432

Abstract

Crime is a crime that violates the laws of a country or violates the norms in force in society. Theft is a form of crime. The impact of theft is a feeling of insecurity, fear and insecurity. One model used to predict the number of theft cases is the time series model. A time series model is a set of values ​​observed in an activity, event, or event where data is then arranged in chronological order. Generally, in intervals of the same length. This study aims to model the data of criminal acts of motorcycle theft in North Lampung Police with Autoregressive (AR), Moving Average (MA), and Autoregressive Integrated Moving Average (ARIMA) models. Furthermore, the best models will be used for forecasting for the next 6 months. The results of the AR model (1), AR (3) model, MA model (1), ARIMA (1,1,1), and ARIMA model (3,1,1). The MA model (1) has a significant parameter coefficient, fulfills diagnostic tests and has the smallest RMSE and AIC values ​​with an RMSE value of 6.5612926 and an AIC value of 394.82. The predicted results of the MA model (1) for the next 6 months tend to be horizontally different from the original data which tends to decrease.

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