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Jurnal Fourier
Published by Universitas Islam Negeri Sunan Kalijaga Yogyakarta
ISSN : -     EISSN : -     DOI : -
Core Subject : Economy, Science, Education,
Computer Science & IT Economics, Econometrics & Finance Education Mathematics
FOURIER adalah Jurnal Ilmiah bidang yang memadukan dan mengembangkan ilmu Matematika dan pembelajarannya yang diintegrasikan dan interkoneksikan dengan nilai-nilai keislaman terbit sejak tahun 2012 dengan frekuensi terbit 2 kali dalam setahun yang dengan bahasa utama (Bahasa Indonesia dan Bahasa Inggris) yang proses reviewernya sesuai dengan disiplin ilmunya (Analisis, Aljabar, Matematika Terapan, Statistika, dan Pendidikan Matematika).
Arjuna Subject : -
Articles 188 Documents
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Metode Akra-Bazzi Sebagai Generalisasi Metode Master Dalam Menyelesaikan Relasi Rekurensi Abrori, Muchammad
Jurnal Fourier Vol 2, No 2 (2013)
Publisher : UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (323.889 KB)

Abstract

Rekurensi relation is an equation that relates the elements of a sequence. One of the benefits of the rekurensi relation can be used to calculate the running time/finish of an  algorithm. Some algorithms use approach devide-and-conquer in resolving a problem. Rekurensi relations with the approach of the devide and conquer can be solved by several methods. This research aims to know the Akra-Bazzi Method as an extension Method of the Master. This research began with the dissected the concept pertaining to the Relation Rekurensi, methods for resolving Relationship Rekurensi, and lastly about methods of AkraBazzi. Note that Akra-Bazzi Method can solve a rekurensi devide-and-conquer with shorter calculation.
Analisis Portofolio Optimum Saham Syariah Menggunakan Liquidity Adjusted Capital Asset Pricing Model (LCAPM) Cahyati, Nila
Jurnal Fourier Vol 4, No 1 (2015)
Publisher : UIN Sunan Kalijaga Yogyakarta

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Abstract

Investasi mempunyai karakteristik antara return dan resiko. Pembentukan portofolio optimal digunakan untuk memaksimalkan keuntungan dan meminimumkan resiko. Liquidity Adjusted Capital Asset Pricing Model (LCAPM) merupakan metode pengembangan baru dari CAPM yang dipengaruhi likuiditas. Indikator likuiditas apabila digabungkan dengan metode CAPM dapat membantu memaksimalkan return dan meminimumkan resiko. Tujuan penelitian adalah membandingkan expected retun dan resiko saham serta mengetahui proporsi pada portofolio optimal. Sampel yang digunakan merupakan saham JII (Jakarta Islamic Index)  periode Januari 2013 – November 2014. Hasil penelitian menunjukkan bahwa expected return portofolio LCAPM sebesar 0,0956 dengan resiko 0,0043 yang membentuk proporsi saham AALI (55,19%) dan saham PGAS (44,81%).
Analisis Tipologi Saham Syariah Di Bursa Efek Indonesia Berdasarkan Nilai Return Dan Resiko (Value At Risk) Pasca Krisis Global 2008 Qudratullah, Mohammad Farhan
Jurnal Fourier Vol 1, No 1 (2012)
Publisher : UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (588.25 KB)

Abstract

Since the signed memorandum of understanding between BAPEPAM with Dewan Syariah Nasional-Majelis Ulama Indonesia (DSN-MUI) on the principle of Islamic capital market in 2003, the Islamic capital market in Indonesia has developed significantly. In each investment, including Islamic capital market investment, there are 2 (two) fundamental things that always accompany it, the return and risks. This paper discusses the analysis of return and risk of sharia stocks that always go in Jakarta Islamic Index (JII) after the global crisis in 2008, risk analysis tools using Value at risk (VaR) approach to model the Generalized Autoregressive Conditional  Heteroscedastic (GARCH), then proceed with the analysis of the typology to determine the characteristics of these stocks. The results that shares sharia can be grouped into 4 (four) :  6 (six) shares entering the low return and low risk (TLKM, UNVR, SMGR, AALI, ELSA, and SGRO), 3 (three ) shares into group of low-return but high risk (INCO, ANTM, and TINS), 3 (three) shares enter the group of low risk but high return (PTBA, LSIP, and KLBF), and 4 (four) shares enter the group high return but high risk (ITMG, ASII, INTP, and BMTR).
Model Penyebaran Penyakit Polio Dengan Pengaruh Vaksinasi Ma’rifatun, RR Laila; Sugiyanto, Mr.
Jurnal Fourier Vol 2, No 1 (2013)
Publisher : UIN Sunan Kalijaga Yogyakarta

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Abstract

Polio (Poliomielitis) is an infectious disease caused by the polio virus. This disease attacks the entire body (including the muscles and nerves) and can lead to muscle weakness that is permanent, paralysis or death. This paper will discuss on the influence of vaccination against polio disease spread in the human population that settled in the form of mathematical modeling.
Aplikasi Algoritma Branch and Bound Untuk Optimasi Jalur Pemadam Kebakaran Kota Yogyakarta Margiyani, Sri; Mussafi, Noor Saif Muhammad
Jurnal Fourier Vol 3, No 1 (2014)
Publisher : UIN Sunan Kalijaga Yogyakarta

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Abstract

Kasus kebakaran di Indonesia, khususnya Kota Yogyakarta dari tahun ke tahun masih menunjukkan angka yang tinggi. Hal ini mengakibatkan kerugian yang cukup tinggi bagi korban kebakaran. Untuk meminimalisasi terjadinya korban jiwa dan kerugian secara material saat terjadi kebakaran, maka pihak pemadam kebakaran mengupayakan melalui rute terpendek untuk sampai di lokasi kebakaran. Tujuan dari penelitian ini adalah pencarian rute terpendek jalur pemadam kebakaran dari kantor pemadam sampai ke lokasi kebakaran. Permasalahan pencarian rute terpendek jalur pemadam kebakaran secara abstrak dapat digambarkan dengan suatu graf yang merupakan masalah optimasi dalam pencarian rute terpendek (Shortest Path Problem). Pemecahan permasalahan tersebut adalah dengan merepresentasikan peta pemadam kebakaran ke dalam bentuk graf berbobot dan berarah, selanjutnya permasalahan diselesaikan menggunakan Algoritma Branch and Bound. Perhitungan dilakukan secara manual dengan jarak (dalam meter) sebagai bobot perhitungan.  Berdasarkan perhitungan menggunakan Algoritma Branch and Bound untuk optimasi jalur pemadam kebakaran Kota Yogyakarta untuk wilayah Kecamatan Umbulharjo menghasilkan solusi rute: Kantor pemadam kebakaran – Jln. Ipda Tut Harsono - Jln. Kusumanegara – Jln. Glagahsari – Kantor Kecamatan Umbulharjo) dengan total jarak 5305 meter atau 5,035 km.
MODEL MATEMATIKA KONFLIK TIGA KOMPARTEMEN (MODEL DISKRET) Sugiyanto, Mr.; Musthofa, Muhammad Wakhid
Jurnal Fourier Vol 3, No 2 (2014)
Publisher : UIN Sunan Kalijaga Yogyakarta

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Abstract

The conflict between groups of people is a serious problem for the people of Indonesia. Mathematical Model of trying to resolve this problem. In this study the number of police officers involved have been in accordance with the amount of power a group of warring parties, so that the police can relieve the community because the amount of power that is balanced. In the case study of conflicts in South Lampung as much as 700 police officers who have been involved is in compliance. The victim died because police were too late in fielded as many as 700 police.
Pendekatan Conjoint Analysis untuk Mengukur Tingkat Preferensi Mahasiswa terhadap Layanan Sistem Informasi Akademik di UIN Yogyakarta Epha Diana Supandi
Jurnal Fourier Vol. 1 No. 1 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (338.25 KB) | DOI: 10.14421/fourier.2012.11.1-9

Abstract

Information Technology (IT) represent one of main indicator to support the academic atmosphere at the university. Therefore UIN Sunan Kalijaga (Suka) Yogyakarta has owned sistem information technology and it is called Academic Information System (SIA). UIN Suka shall has knowledge preference and perception of consumer to the service, which is like what required by consumer. By using Conjoint Analysis method would have been obtained combination from level-level factor (stimuly) took a fancy by consumer according to value of highest utility from every level factor. The objective of this research is to measure preference level of consumers (students) to the SIA services in UIN Suka used Conjoint Analysis method. The result shows that the most important factor in using SIA service is the benefit (importance value is 66,623%, the second important factor is accesibility of SIA ( importance value is 19,227%) and the last important is ability of staff (importance value is 14,15%). According to value of utility estimate, it shows that consumers like to use SIA for key in courses (utility estimate is 2,104), online service (utility estimate is 0,577) and SIA staff who are very friendly when they were servicing the students (utility estimate is 0,210).
Pembelajaran Luas Daerah Persegi Panjang Berdasarkan Standar Pengajaran National Council of Teachers of Mathematics (NCTM) Untuk Meningkatkan Pemahaman Siswa Kelas III SDN Dinoyo I Malang Ika Ratih Sulistiani
Jurnal Fourier Vol. 1 No. 1 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (235.779 KB) | DOI: 10.14421/fourier.2012.11.11-16

Abstract

This research is analyzing the problem that faced by students of SD Negeri 1 Dinoyo Malang in difficulty of understanding rectangle area. According to the discussion with their teacher, it is found that the learning still not gives more chance to the students to find out the concept of rectangle area with their own ways. Moreover, some students are difficult in solving daily problem containing model of rectangle area. Therefore it needs great effort to build students understanding on the concept of rectangle area. One of effort that teacher can do is trying to apply the learning based on process standard NCTM. The aim of this research is to describe the learning of rectangle area based on process standard NCTM that believed can help student understanding. The learning process is done through five phases that each using Student Worksheet. The research yields: (1) the increasing of student activities quality from 85% (in the first cycle) to 90% (in the second cycle), (2) the raising of student understanding from 73.5% (in the first cycle) to 82.5% (in the second cycle), and (3) good response from students.
Analisis Tipologi Saham Syariah Di Bursa Efek Indonesia Berdasarkan Nilai Return Dan Resiko (Value At Risk) Pasca Krisis Global 2008 Mohammad Farhan Qudratullah
Jurnal Fourier Vol. 1 No. 1 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (588.25 KB) | DOI: 10.14421/fourier.2012.11.17-26

Abstract

Since the signed memorandum of understanding between BAPEPAM with Dewan Syariah Nasional-Majelis Ulama Indonesia (DSN-MUI) on the principle of Islamic capital market in 2003, the Islamic capital market in Indonesia has developed significantly. In each investment, including Islamic capital market investment, there are 2 (two) fundamental things that always accompany it, the return and risks. This paper discusses the analysis of return and risk of sharia stocks that always go in Jakarta Islamic Index (JII) after the global crisis in 2008, risk analysis tools using Value at risk (VaR) approach to model the Generalized Autoregressive Conditional Heteroscedastic (GARCH), then proceed with the analysis of the typology to determine the characteristics of these stocks. The results that shares sharia can be grouped into 4 (four) : 6 (six) shares entering the low return and low risk (TLKM, UNVR, SMGR, AALI, ELSA, and SGRO), 3 (three ) shares into group of low-return but high risk (INCO, ANTM, and TINS), 3 (three) shares enter the group of low risk but high return (PTBA, LSIP, and KLBF), and 4 (four) shares enter the group high return but high risk (ITMG, ASII, INTP, and BMTR).
Optimasi Portofolio Resiko Menggunakan Model Markowitz MVO Dikaitkan Dengan Keterbatasan Manusia Dalam Memprediksi Masa Depan Dalam Perspektif Al-Qur`an Noor Saif Muhammad Mussafi
Jurnal Fourier Vol. 1 No. 1 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (939.306 KB) | DOI: 10.14421/fourier.2012.11.27-35

Abstract

Risk portfolio on modern finance has become increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Since companies cannot insure themselves completely against risk, as human incompetence in predicting the future precisely that written in Al-Quran surah Luqman verse 34, they have to manage it to yield an optimal portfolio. The objective here is to minimize the variance among all portfolios, or alternatively, to maximize expected return among all portfolios that has at least a certain expected return. Furthermore, this study focuses on optimizing risk portfolio so called Markowitz MVO (Mean-Variance Optimization). Some theoretical frameworks for analysis are arithmetic mean, geometric mean, variance, covariance, linear programming, and quadratic programming. Moreover, finding a minimum variance portfolio produces a convex quadratic programming, that is minimizing the objective function 𝑄𝑥with constraints𝜇 𝑇 𝑥 ≥ 𝑅and𝐴𝑥 = 𝑏. The outcome of this research is the solution of optimal risk portofolio in some investments that could be finished smoothly using MATLAB R2007b software together with its graphic analysis.

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