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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
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.
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Articles 157 Documents
Aplikasi Algoritma Biseksi dan Newton-Raphson dalam Menaksir Nilai Volatilitas Implied Komang Dharmawan; I Nyoman Widana
Jurnal Matematika Vol 1 No 2 (2011)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

Volatilitas adalah suatu besaran yang mengukuran seberapa jauh suatu harga sahambergerak dalam suatu periode tertentu dapat juga diartikan sebagai persentase simpanganbaku dari perubahan harga harian suatu saham. Menurut teori yang dikembangkan oleh Black-Scholes in 1973, semua harga opsi dengan ’underlying asset’ dan waktu jatuh tempo yang samatetapi memiliki nilai exercise yang berbeda akan memiliki nilai volatilitas implied yang sama.Model Black-Scholes dapat dipakai mengestimasi nilai volatilitas implied dari suatu sahamdengan mencari sulusi numerik dari persamaan invers dari model Black-Scholes. Makalah inimendemonstrasikan bagaimana menghitung nilai volatilitas implied suatu saham dengan mengasumsikanbahwa model Black-schole adalah benar dan suatu kontrak opsi dengan denganumur kontrak yang sama akan memiliki harga yang sama. Menggunakan data harga opsi SonyCorporation (SNE), Cisco Systems, Inc (CSCO), dan Canon, Inc (CNJ) diperoleh bahwa, ImpliedVolatility memberikan harga yang lebih murah dibandingkan dengan harga opsi darivolatilitas yang dihitung dari data historis. Selain itu, dari hasil iterasi yang diperoleh, metodeNewton-Raphson lebih cepat konvergen dibandingkan dengan metode Bisection.
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

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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.
Faktor-Faktor yang Memengaruhi Orang Tua dalam Memilih Sekolah TK bagi Anak Agnes Juliet Bokings; I Gusti Ayu Made Srinadi; Ni Luh Putu Suciptawati
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

. School was second place for children to get knowledge and develop skills or talents. A great school and accordance with the character of the child will be able to guide children toward a better future. There are many factors that influence parents in choosing a kindergarten school for children affected from both the internal parents, schools or internal environment. The author would like to see the factors that influence whether parents in choosing a kindergarten school for children and whether there is a relationship between internal indicators of parents, school internally, and the environment. Internal indicators of parents, school internally, and the environment in question include: parent education, parental employment, parental income, school programs, teacher background, facilities, location, promotion, reputation, cost, references, traditions, parents and the learning process. The analysis used were factor analysis and canonical correlation analysis. The results showed that there are seven factors that influence parents in choosing a kindergarten school which factors socio-economic background of parents, location, teacher backgroud, school status, environment, state school, and cost factors. Result of canonical correlation analysis showed that between internal indicators parent with internal school, among parents with the internal environment, and the relationshipbetween internal school and environment provides each significant effect.
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

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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.
CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection Shamsur Rahman
Jurnal Matematika Vol 6 No 2 (2016)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection. For this, some properties of CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection are investigated which conclude that CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection exists with respect to the ?????horizontal and ?????vertical.
Penentuan Lokasi SMP Baru di Kabupaten Klungkung dengan Algoritma Fuzzy Subtractive Clustering I Gede Oka Artawan; G. K. Gandhiadi; Tjokorda Bagus Oka
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

The aim of this paper is to determine a new location of junior high school at Klungkung, using Fuzzy Subtractive Clustering Algorithm. The new location of the junior high school is depending on the graduate number of elementary school, the distance between location of candidates, and distance between the candidates’ location and existing junior high school. To measure the distance, it is used an Euclidean distance. At the beginning of calculation, the locations of elementary schools are used as the location candidates. Then, the density value of each location candidates is calculated using Fuzzy Subtractive Clustering Algorithm. The location candidate which has the highest density will be chosen to become a starting location. The results of calculation show that the location candidate at 8°32'5.70"S, 115°24'20.64"E has the highest density value, it is at SD Negeri 1 Semarapura Kangin. So the location for the new junior high school is at around SD Negeri 1 Semarapura Kangin.
Analisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik Jafaruddin (Alm); Rapmaida M. Pangaribuan; , Aryanto; Irena A. Henukh
Jurnal Matematika Vol 7 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if then the disease-free equilibrium point is stable and if then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS. Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.
Model Regresi Zero Inflated Poisson Pada Data Overdispersion Wirajaya Kusuma; Desy Komalasari; Mustika Hadijati
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

Overdispersion is a phenomenon of the data variance greater than the average. One of the causes of overdispersion is too many zero value (excess zero) on the response variable. Zero inflated Poisson regression model (ZIP) is one of the method that can be used to overcome problems due to excess zeros. The purpose of this research is to estimate the regression parameters model Zero -inflated Poisson (ZIP) and applying to the data of unsuccessful students in national examinations in senior high school and vocational school in the city of Mataram. Parameter estimation Zero inflated Poisson regression model using the maximum likelihood and maximization expectation algorithm with Newton Rhapson approach.
Analisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik Jafaruddin (Alm); Rapmaida M. Pangaribuan; . Aryanto; Irena A. Henukh
Jurnal Matematika Vol 7 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if then the disease-free equilibrium point is stable and if then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS. Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.
Optimalisasi Harga Penjualan Perumahan dengan Metode Goal Programming (Studi Kasus: Golden Gindi Residence Kota Bima Nusa Tenggara Barat) Lilik Ika Rahmawati; G. K. Gandhiadi; Ni Made Asih
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Abstract

This research aims to determine the minimum selling price of each type of house using the method of goal programming, so that the developer  get profit  in appropriate with the targets set. Goal Programming method is one of the method of solving linear programming to solve the problems that include multiple targets. The result of the research showed: (1) the minimum salling price type of house 36/150 is Rp. 56.371.450,-; (2) type 45/150 is Rp. 77.261.250,-; (3) type 52/150 is Rp. 84.221.445,56. To calculate monthly installment purchase of a home within 5 years and 10 years using Capital Recovery Factor (CRF) method with annual interest of 11.5%. In order to obtain the amount of monthly loan installments within 5 years with 60 time installments for the type 36/150 is Rp. 930.250 , type 45/150 is Rp. 1.275.000 and type 52/150 is Rp. 1.389.800. By using the same method obtained the amount of monthly installments within 10 years with 120 installments for the type 36/150 is Rp. 549.900, type 45/150 is Rp. 815.300 and type 52/150 is Rp. 888.800 . Optimal selling price obtained was lower than the selling price from the developer, so the developer need to consider again the results obtained for the salling price of homes. The calculation of credit installments depending on the amount of interest and repayment period, so not become burden for the customers.

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