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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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Proses Metakognisi Siswa dalam Pemecahan Masalah Aljabar Berdasarkan Taksonomi SOLO Wasti Tampi; , Subanji; , Sisworo
Jurnal Matematika Vol 7 No 1 (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.i01.p80

Abstract

This study describes the metacognition process of students in problem solving based on the SOLO taxonomy. This study used a qualitative approach with descriptive research. The results of this study suggest that the metacognition process of students that occurs in problems solving of algebra at the levels of unistructural, multistrucural, relational and extended abstract includes the process: metacognitive awareness, metacognitive evaluating and regulating metacognitive. Keywords: problem solving, metacognition, SOLO taxonomy.
Variasi Motif Batik Palembang Menggunakan Sistem Fungsi Teriterasi dan Himpunan Julia Eka Susanti
Jurnal Matematika Vol 5 No 1 (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.i01.p54

Abstract

Batik Palembang has a distinctive design with bright colour. There are several design, in this research, can be visualized songket batik design and jumputan batik design. Jumputan and songket batik design with the help of the software can be visualized using iterated function systems (IFS) and the Julia set. Songket batik design can be visualized with a combination of Sierpinski Carpet and Julia set while jumputan battik design can be visualized with a combination of some of the Julia set.
EVALUASI KINERJA JARINGAN SYARAF TIRUAN PADA PERAMALAN KONSUMSI LISTRIK KELOMPOK TARIF RUMAH TANGGA I Putu Eka N. Kencana; Ketut Jayanegara
Jurnal Matematika Vol 2 No 1 (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.i01.p22

Abstract

Many methods have been applied in forecasting technics, varied fromStatistical Forecasting Methods (SFM) or Mathematical Modelling and ForecastingMethods (MMFM) to Artificial Neural Methods (ANM). This research aimedto implement and evaluate performance of Artificial Neural Network (ANN), onemethod in ANM group; for forecasting electricity consumption by household inProvince of Bali. This research used electricity consumption data from January2001 to December 2009 as basis for network’s training and validating its result.The actual data from January to December 2010 is used to evaluate the performanceof network prediction. Research shows the Mean Absolute Prediction Error(MAPE) of the ANN’s prediction is 7,56%.
Metoda Autoregressive untuk Peramalan Jangka Panjang Ria Faulina
Jurnal Matematika Vol 8 No 2 (2018)
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.2018.v08.i02.p104

Abstract

Changes in seasonal patterns in Indonesia are closely related to rainfall. Various forecasting techniques were developed to produce better accuracy. In this study ARIMA linear forecasting techniques were used. The data used is secondary data from BMKG Kalianget Station, Sumenep from January 2008 - December 2017 with a monthly rainfall research variable. To measure the accuracy of the forecast results used by RMSE.From the result of this study, ARIMA ([1,6],0,0)(0,1,1)12providing better accuracy than ARIMA (1,0,0)(0,1,1)12 for predicting the next 1 month or 12 months (a year ahead).
MODEL PENYERAPAN OBAT UNTUK INTERVAL DAN DOSIS BERBEDA I NYOMAN WIDANA
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.p07

Abstract

This article will discuss the accumulated quantity of the drug in the bloodstream of the twoadministered methods of the drug. The first method the drug is administered every 12 hours with adose of 12.5 mg, whereas for the second method the drug is administered every 24 hours with a dose of25 mg. The calculations show that the second method accumulates more drugs in the bloodstream thanthe first method.
Peran Pemerintah, Modal Sosial, dan Kinerja Usaha Terhadap Kesejahteraan Subjektif Pelaku Industri Tenun di Kabupaten Jembrana, Bali G.K. Gandhiadi; Komang Dharmawan; I Putu Eka Nila Kencana
Jurnal Matematika Vol 8 No 1 (2018)
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.2018.v08.i01.p95

Abstract

Weaving industry is one of the creative industries based on local wisdom of Bali, need to be developed with the concept of modern entrepreneurship (orange economy). Regional economic development strategies need to take into account the dynamics of local community life or social capital in addition to the role of government and other physical capital, in order to improve the performance of weaving industry in Jembrana regency, Bali. Based on empirical theory and facts, this study aims to analyze how the direct and indirect influence of the role of government, social capital and business performance on and subjective wellbeing on the business actors of weaving industry in Jembrana, Bali. Through the modeling of the resulting structural equations is studied: (1) the direct influence of the government's role on business performance and subjective well-being; (2) the direct influence of social capital on business performance and subjective wellbeing; (3) the direct impact of business performance on subjective well-being; (4) the indirect and total influence of the government's role on subordinate welfare mediated by business performance; and (5) the indirect and total social capital influences on subjective well-being mediated by business performance. Based on surveys and structured interviews on 70 business actors of weaving industry in Jembrana District, Bali through data analysis techniques using SEM-PLS with the help of Smart PLS 3.0 software, in the business actors weaving industry found that: (1) directly the role of government have positive and significant (2) direct social capital has a positive and significant effect on business performance, but not significant to subjective wellbeing, (3) directly the business performance have a positive and significant effect on subjective wellbeing, (4) the role of the government indirectly has a positive but insignificant effect on subjective wellbeing, but through full mediation of business performance, the role of the government has a positive and significant effect on subjective wellbeing, and (5) social capital indirectly has a positive and significant effect on the subjective achievement, so totally through the full mediation of business performance, social capital has a positive and significant impact on subjective wellbeing although it directly does not have a significant effect.
Pendekatan Fuzzy Pada Peramalan Jumlah Kunjungan Wisatawan Mancanegara ke Kabupaten Badung Tjokorda Bagus Oka; Eka N. Kencana
Jurnal Matematika Vol 6 No 2 (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.i02.p76

Abstract

This work is directed to forecast the number of foreign visitors come to tourist’s destinations at Badung regency, Province of Bali. Using visit historical data for period January 2000 to February 2015, Markov Transition Matrix and Fuzzy Triangular Number are applied to represent fuzzy logical relationship group and member function in fuzzy model, respectively.  The results showed the in-sample forecasting accuracy for our fuzzy model as much as 2,48 percent. To validate the model, we found the average forecasting error rate for five consecutive months (March – July 2015) as much as 2,70 percent.
Transformasi Biplot Simetri Pada Pemetaan Karakteristik Kemiskinan Desy Komalasari; Mustika Hadijati; . Marwan
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.p34

Abstract

The purpose of this research is to provide the new innovations on mapping of poverty characteristics in West Nusa Tenggara Province using Biplot analysis. The analysis based on matrix transformation, singular value decomposition, and matrix factorization. In this research we construct two kind of matrix transformation, that are average transformation and standarization transformation. The result of this research is symmetry Biplot, which maps the regency and  poverty characteristics simultaneously. The result of Biplot mapping with average transformation obtained the value of  (79.12%), while standarization transformation obtained the value of  (63.11%). It can be concluded that Biplot mapping with averaging transformation is better than standarization transformation.
Penentuan Rute Terpendek dengan Menggunakan Algoritma Dijkstra pada Jalur Bus Sekolah I Putu Winada Gautama; Koko Hermanto
Jurnal Matematika Vol 10 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/JMAT.2020.v10.i02.p128

Abstract

Peran angkutan umum atau bus sekolah sangat vital dalam mengurangi pelanggaran lalu lintas bagi pengendara di bawah umur. Alat transportasi bus sekolah mulai populer di Bali. Khususnya di kota Denpasar, dinas perhubungan Kota Denpasar sudah beroperasi pada bulan September 2017. Salah satu optimasi yang dapat dilakukan adalah menentukan jarak terpendek dari rute bus sekolah. Semakin pendek jarak yang dilalui tentunya berdampak pada biaya dan waktu. Biaya yang dikeluarkan dapat diminimalkan dan waktu tempuh lebih efisien. Berdasarkan hasil yang diperoleh bahwa biaya bahan bakar yang dihabiskan bus sekolah shift pagi adalah Rp 70.132,-. Hasil ini dapat memberikan gambaran untuk Dinas Perhubungan kota Denpasar mengenai terapan matematika dalam menentukan rute yang dapat mengoptimalkan pengeluaran biaya bahan bakar
Penggunaan Mind Map dalam Pembuktian Matematika Luh Putu Ida Harini; Tjokorda Bagus Oka
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.p68

Abstract

Matematika merupakan salah satu bidang ilmu yang keberadaanya disusun dari suatu sistem yang penuh dengan perjanjian dan terbangun atas logika dari sekelompok unsur, relasi, dan operasi yang diramu secara aksiomatik serta kebenarannya harus terjamin. Dengan demikian maka pembuktian dalam matematika menjadi salah satu modal terpenting dalam pengembangan matematika. Beberapa orang menganggap pembuktian dalam matematika merupakan suatu keindahan tersendiri walaupun seringkali dalam merangkai fakta-fakta kebenaran melalui penalaran yang logis tidaklah mudah. Diperlukan banyak latihan dan pembelajaran untuk menguasai keterampilan ini. Berlatih memahami bukti adalah salah satu cara termudah dalam memulai memahami konsep matematika yang lebih abstrak.  Akan tetapi pada kenyataannya memahami bukti  yang sudah ada saja bukan merupakan hal yang mudah, apalagi jika diminta untuk membuktikan. Oleh karena itu dalam tulisan ini akan diulas salah satu alternatif penggunaan mind map dalam membantu memperkenalkan konsep terkait pembuktian dan membiasakan diri menggunakan metode-metode pembuktian yang sudah ada.

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