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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
Arjuna Subject : -
Articles 187 Documents
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Efektifitas Metode Nadir Compromise Programming dalam Menentukan Nilai Optimum Portofolio Saham Wandi Noviyanto; Ni Ketut Tari Tastrawati; Kartika Sari
Jurnal Matematika Vol 6 No 1 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2016.v06.i01.p67

Abstract

Nadir Compromise Programming (NCP) is one of method that can be used to solve multiobjective problem using certain parameter. One of the problem that can be solved by these method is to get the optimum value of stock portfolio. The purpose of this study was to determine on what value of parameter among six values of parameter, NCP models effective in determining the optimum value of the stock portfolio. The data used in this research was secondary data in the form of daily data from the price of 6 types of stocks from October 2013 to October 2015. In this study, the optimum value of the stock portfolio was calculated by the the NCP model at 6 parameter values, i.e. 1, 10, 100 , 1000, 10000, and 100000. As a result of this study showed that the NCP model effective in determining the optimum value of the stock portfolio on parameter 1.
Analisis Komponen Biaya Asuransi Jiwa Dwiguna (Endowment) Desak Nyoman Trisnawati; I Nyoman Widana; Ketut Jayanegara
Jurnal Matematika Vol 4 No 1 (2014)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2014.v04.i01.p41

Abstract

Asuransi adalah suatu istilah penyediaan jasa yang bergerak dalam bidang pertanggungan atau perlindungan. Seseorang yang telah mengasuransikan dirinya akan menyetujui kontrak yang disebut dengan polis. Di Indonesia terdapat beberapa jenis asuransi jiwa, salah satunya adalah asuransi jiwa dwiguna. Asuransi jiwa dwiguna adalah asuransi jiwa yang kepada tertanggung akan diberikan sejumlah uang pada akhir asuransi sesuai dengan polis. Jika tertanggung meninggal selama masa asuransi atau setelah akhir asuransi, kepada tertanggung akan diberikan uang sebesar uang pertanggungan. Untuk memenuhi pertanggungan, akan dibayarkan sejumlah uang yang disebut dengan premi. Premi terdiri dari premi netto dan premi bruto, premi netto adalah premi yang perhitungannya hanya berdasarkan faktor mortalita, sedangkan premi bruto adalah gabungan dari premi netto dengan faktor-faktor lain seperti faktor biaya. Penelitian ini membahas tentang analisis komponen biaya pada asuransi jiwa dwiguna. Komponen dari biaya asuransi jiwa dwiguna ini adalah biaya penutupan awal, biaya pengumpulan premi dan biaya pemeliharaan.Semua perhitungan aktuaria menggunakan tabel CSO 1980 dengan bunga 9%. Dengan menerapkan metode Eliminasi Gauss Jordan besarnya komponen biaya dari asuransi jiwa dwiguna masing-masing, biaya penutupan awal sebesar dan , biaya pengumpulan premi sebesar 0,075 dan biaya pemeliharaan sebesar 2.
Penyelesaian Positif Model Penyebaran Virus Ebola Antar Dua Wilayah Awawin Mustana Rohmah; Dinita Rahmalia
Jurnal Matematika Vol 10 No 1 (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/JMAT.2020.v10.i01.p122

Abstract

A Model describing the epidemic spread of the Ebola virus disease in region 1 and region 2 can be formed in a mathematical model, one of which is the SEIR endemic model. To form a mathematical model it is necessary to know the phenomenon of the spread of the Ebola virus, namely the large number of infected populations in an area which is not only caused by infected individuals in one area but can be caused by individuals traveling from one region to another. In this case, the SEIR model is analyzed for existence and uniqueness. Before doing the Analyze, the SEIR model was simplified. Then lipschitz was determined, so that an analysis of existence and uniqueness could be carried out. This shows that the SEIR model has a unique solution. Furthermore, a positive solution is determined in the model, to show that the SEIR model has a continuous and dynamic flow. Based on these results, it was found that the SEIR model in the spread of the Ebola virus had dynamic and a continuous flow.
ANALISIS REGRESI LOGISTIK DALAM PENENTUAN MODEL BERAT BADAN BAYI LAHIR I GUSTI AYU MADE SRINADI
Jurnal Matematika Vol. 1, No. 1 April 2007
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2007.v01.i01.p05

Abstract

Infant weight at Birth (BBBL) is one standard of The Healthy Program with expectation isthe Normal In-fant Weight at Birth (³ 2,5 kg). The factors which influence to BBBL are weight,height, parities, ages, hae-moglobin pencentage, blood pressure and education of mother’s.This study want to know which factors have major probability and how are the form of the factorsto the BBBL.Data used in this research are mother’s data whom give delivery in Govermant Hospital,delivery clinic or delivery nurse’s.Mother’s characteristic shown in data descriptive analysis. Single logistic regression detecteach potential variable to construct the multiple logistic regression model. The variables used forconstruct the multiple logis-tic regression model have significant contribution to the BBBL, thebest model is : P =+ + + + -Model above showed mother’s education and mother’s activities influences to the BBBL.Odds ratio values for every factors which influenced to the BBBL ³ 2,5 kg compared withBBBL < 2,5 kg find for mother’s education (junior high school, senior high school and the degreeof university) with proba-bility 2,6414, 22,2936 and 50,5504 times higher than mother’seducation for elementary school background.
Pengelompokkan Provinsi di Indonesia Berdasarkan PDRB atas Dasar Harga Konstan Tahun 2013 Ferry Kondo Lembang; Patresya Yulita Lessil; Salmon Notje Aulele
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2017.v07.i02.p84

Abstract

Regional gross domestic product is one of the important indicators to determine economic conditions in an area. Therefore it is very interesting to discuss and to determine the economic progress of a region. Cluster anlysis aims to classify objects based on the characteristics into cluster that have the properties that are relatively similar and clearly distinguish between one cluster agains another. The main objective of the research that classifies 33 provinces based on the value of regional gross domestic product at constant price in 2013 using hierarchical cluster analysis for average linkage method. The results showed that the cluster were carried out on 33 provinces in Indonesia formed 3 cluster with details of that cluster 1 consisting of Sumatera, Kalimantan, Sulawesi, Nusa Tenggara, Bali, Papua, Maluku and Jawa Tengah, DI Yogyakarta, and Banten, cluster 2 consisting of 1 provinces of DKI Jakarta and cluster 3 which consists of 2 provinces namely Jawa Barat dan Jawa Timur.
Konstruksi Ring Bersih dari Sebarang Ring Kartika Sari; Indah Emilia Wijayanti
Jurnal Matematika Vol 5 No 2 (2015)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2015.v05.i02.p58

Abstract

The aims of this research was to construct a clean ring from any ring.  The base on the fact  that the endomorphism ring of every pure-injective module is clean, it was constructed a clean ring from any ring. So, the result of this research was it always could be constructed a clean ring from any ring.
Analisis Survival Dengan Model Regresi Cox Study Kasus: Pasien Demam Berdarah Dengue di Rumah Sakit Haji Surabaya Ni Putu Lisa Ernawatiningsih; Purhadi .
Jurnal Matematika Vol 2 No 2 (2012)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2012.v02.i02.p26

Abstract

Demam berdarah dengue (DBD) merupakan suatu wabah penyakit musiman yang jika tidak mendapatkan penanganan yang tepat akan bisa menjadi sebuah kejadian luar biasa, karena penyebarannya sangat cepat dan dapat menyebabkan kematian. Untuk mengurangi angka kematian akibat demam berdarah dengue, maka penelitian ini akan memodelkan waktu survival dengan studi kasus pada pasien demam berdarah dengue yang dirawat di Rumah Sakit Haji Surabaya pada tahun 2011. Metode yang digunakan adalah Analisis Survival dengan model regresi cox. Adapun hasil analisisnya berdasarkan nilai AIC masing-masing faktor, diperoleh faktor yang paling berpengaruh terhadap laju kesembuhan pasien adalah usia dan jumlah trombosit. Dari 66 pasien yang dirawat 50% pasien berusia 0-14 tahun sisanya diatas 14 tahun, dan 70% pasien yang jumlah trombosit di bawah normal sisanya normal. Dari nilai odds ratio untuk usia dan jumlah trombosit disimpulkan pasien yang berusia lebih tua akan lebih lama kesembuhannya dari pada pasien yang berusia lebih muda dan ketika jumlah trombosit di bawah normal akan mencapai sembuh lebih lama daripada pasien dengan jumlah trombosit normal.
Identifikasi Kekeliruan Penggunaan Metode Statistika pada Artikel yang Dimuat di Jurnal OJS Unud Ni Luh Putu Suciptawati
Jurnal Matematika Vol 9 No 1 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2019.v09.i01.p108

Abstract

Abstract: The statistical method plays a role in scientific research. Use of appropriate statistical methods in analyzing data influences research conclusions. Misuse statistical methods will lead to incorrect conclusions. This study aims to identify the misuse of statistical methods in articles published in the OJS UNUD Journals. We reviewed 97 articles from OJS UNUD Journals published in 2017. This study found several misuse statistical methods these included: misuse multiple linear regression analysis, generalize conclusions based on descriptive statistics, inappropriate use of ANOVA, misinterpretation of negative correlation values, use of Chi square test for small samples, use of t-test two samples for observations with ordinal scale Keywords: statistical methods, misuse statistical, OJS UNUD Journal
Perbandingan Hasil Belajar Matematika Siswa Melalui Penerapan Model Pembelajaran Langsung dengan Pembelajaran Kooperatif Tri Wahyuningsih; Sri Rezeki; . Zetriuslita
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2013.v03.i02.p35

Abstract

Penelitian ini bertujuan untuk membandingkan hasil belajar matematika siswa melalui penerapan model Pembelajaran Langsung dengan Pembelajaran Kooperatif pada siswa SMK Muhammadiyah 2 Pekanbaru tahun ajaran 2011/2012. Bentuk penelitian ini adalah penelitian komparasi. Data dalam penelitian ini berupa hasil belajar matematika siswa yang didapat dari hasil pre-test dan post-test. Hasil belajar matematika siswa yang diperoleh dari penelitian ini kemudian dianalisis dalam dua bentuk yaitu analisis ketercapaian Kriteria Ketuntasan Minimal (KKM) dan analisis inferensial untuk menguji hipotesis. Hasil analisis ketercapaian KKM menunjukkan bahwa kelas eksperimen yang menerapkan model Pembelajaran Kooperatif pada saat pre-test jumlah siswa yang mencapai KKM yaitu 11 orang  dari 32 orang siswa (34,38%) dan pada saat post-test meningkat menjadi 29 orang (90,63%). Sedangkan untuk kelas kontrol yang menerapkan model Pembelajaran Langsung pada saat pre-test jumlah siswa yang mencapai KKM adalah 11 orang dari 36 orang siswa (30,56%) dan pada saat post-test meningkat menjadi 27 orang (75,00%). Dengan demikian kelas eksperimen mengalami peningkatan sebanyak 56,25% sedangkan kelas kontrol mengalami peningkatan sebanyak 44,44%. Dari hasil analisis inferensial menunjukkan bahwa terdapat perbedaan yang signifikan rata-rata hasil belajar matematika siswa melalui penerapan model Pembelajaran Langsung dengan Pembelajaran Kooperatif pada siswa SMK Muhammadiyah 2 Pekanbaru tahun ajaran 2011/2012, Dalam hal ini hasil belajar matematika siswa yang menerapkan model Pembelajaran Kooperatif lebih baik dibandingkan hasil belajar matematika siswa yang menerapkan model Pembelajaran Langsung.
BY MEANS OF LINDEBERG’S CENTRAL LIMIT THEOREM WAYAN SOMAYASA
Jurnal Matematika Vol 1 No 1 (2010)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2010.v01.i01.p11

Abstract

We study the construction of a version of standard Brownian sheet called h -generalized standardBrownian sheet. It is shown by means of Lindeberg’s theorem that it is a limit process of a sequence ofpartial sums processes of independent random variables in the sense of weak convergence in the metricspace of continuous functions on the compact region [0,1]×[0,1]. Based on this convergence weapproximate by simulation the quantiles of Kolmogorov, Kolmogorov-Smirnov and Cramér-von Misestype statistics which are defined as continuous functionals of the process.

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