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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 6 Documents
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Search results for , issue "Vol. 10 No. 1 (2021)" : 6 Documents clear
Optimasi Penjadwalan Perawat Menggunakan Integer Linear Programming (Studi Kasus: RS. Aulia Hospital Pekanbaru) Elfira Safitri; Sri Basriati; Rini Eka Putri
Jurnal Fourier Vol. 10 No. 1 (2021)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Abstract

Penjadwalan merupakan penyusunan jadwal yang optimal dalam pembagian shift kerja terutama di dunia medis. Penjadwalan perawat dengan adanya shift kerja dan total jam kerja memberikan dampak yang positif yaitu efisiensi waktu dan efektifitas pekerjaan sehingga sangat penting untuk mengoptimalkan sumber daya manusia untuk meningkatkan kuliatas rumah sakit salah satunya RS. Aulia Hospital. Model Integer Linear Programming digunakan untuk mendapatkan solusi optimal pada penjadwalan perawat di RS. Aulia Hospital Pekanbaru yang terdiri dari tiga ruangan yaitu ruangan perawatan, ruang IGD dan ruang ICU. Adapun Tujuan penelitian ini adalah mengetahui hasil optimasi menggunakan Integer Linear Programming serta mengetahui perbandingan hasil penjadwalan manual dan software Lingo. Berdasarkan hasil penelitian menggunakan model Integer Linear Programming menggunakan Software Lingo menunjukkan solusi yang optimal dengan semua kendala terpenuhi dan total hari kerja yang sama, yaitu sebanyak 22 hari kerja dengan interval jam kerja sebesar 175 <= x  <= 185 . Penjadwalan perawat menggunakan Integer Linear Programming lebih optimal dibandingkan penjadwalan secara manual dikarenakan tidak terjadinya pengurangan anggota. [Scheduling is an arrangement of an optimal schedule for work shifts division, especially in the medical world.  The nurse scheduling through work shift and total work hours give positive impact such as time efficiency and work effectiveness until it is very important to optimize human resources to improve the hospital quality such as Aulia Hospital. Integer Linear Programming model was used to obtain optimal solution on nurse scheduling at Aulia Hospital Pekanbaru, which consists of three rooms, namely a treatment room, an emergency room, and an intensive care unit. The purpose of this research was to the optimization results using Integer Linear Programming and find out the result of manual scheduling and Lingo Software. This research discussed the nurse scheduling in three rooms at Aulia Hospital with the assistance of Lingo Software.  Based on the research results by using Integer Linear Programming model with the assistance of Lingo software that it is an optimal solution and all obstacles are overcomed with totally same work hours in the amount of 22 work days with work hour interval in the amount of 175 <= x  <= 185 . Nurse scheduling using Integer Linear Programming is more optimal than manual scheduling because there is no reduction in members.]
Rough Set Theory for Dimension Reduction On Machine Learning Algorithm Rani Nuraeni; Sugiyarto Surono
Jurnal Fourier Vol. 10 No. 1 (2021)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Abstract

Dimension reduction is a method applied in machine learning sector to significantly improve the efficiency of computational process. The application of high number variables in certain dataset is expected to be able to provide more information to analyze. However, this application of high number of variables will impacted on the computational time and weight linearly. Dimension reduction method serves to transforming the high dimension data into much lower dimension without significantly reduce the initial information and characteristic provided by the initial data. Core and Reduct is a method acquired through the concept of Rough Set. Dataset functioning as the input and output on Machine Learning can be perceived as informational system. The objective of this research is to determine the impact of the dimension reduction application on machine learning algorithm on the reduction of computational time and weight. Core and Reduct will be applied in few popular machine learning method such as Support Vector Machine (SVM), Logistic Regression, and K-Nearest Neighbors (KNN). This research applied on 5 UCI machine learning dataset which are Iris, Seeds, Years, Sonar, and Hill-Valley. Furthermore, Machine learning metrics such as Accuracy, Recall, Precision, and F1-Score also observed and compared. This research resulted in the conclusion that Core and Reduct is able to decrease the computational time up to 80% and maintain the value of each evaluation model.
Analysis of the Stability of Bessel, Legendre and Euler Differential Equations Muchammad Abrori
Jurnal Fourier Vol. 10 No. 1 (2021)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Abstract

The Bessel, Legendre and Euler differential equations discussed in this paper are second-level differential equations. These three equations become a system with two equations. The equilibrium point of all three of these equations is at the point (0,0). These three equations are locally asymptotically stable at the equilibrium point (0,0).
Pemodelan Return Saham Syariah di Indonesia menggunakan Model AGARCH dengan Distribusi Skewed Student-t Muhammad Safi’ Mulhan; Mohammad Farhan Qudratullah
Jurnal Fourier Vol. 10 No. 1 (2021)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Abstract

Terdapat 2 hal yang selalu menyertai investasi, yaitu return dan risiko, hal ini berlaku juga pada investasi saham syariah. Harga saham setiap harinya mengalami perubahan, datanya memiliki volatilitas yang tidak konstan (heterokedastisitas) dan bersifat tidak simetri (asimetri). Sehingga untuk memodelkannya dapat menunakan model Asymmetric Generalized Autoregressive Conditional Heteroscedasticity (AGARCH) dengan distribusi Skewed Student-t. Penelitian ini membahas pemodelan return saham syariah mengunakan data penutupan harian Jakarta Islamic Index (JII) periode Maret 2013-April 2017 dengan model AGARCH-Skewed Student-t. Hasil dari penelitian ini diperoleh bahwa model ARIMA(0,0,3)-AGARCH(2,0) adalah model terbaik untuk meramalkan return saham syariah. [Two things always accompany investment, namely, return and risk, this also applies to Islamic stock investments. Stock prices change every day, the data has the volatility that is not constant (heteroscedasticity) and is asymmetry. So to model it, we can use the Asymmetric Generalized Autoregressive Conditional Heteroscedasticity (AGARCH) model with the Skewed Student-t distribution. This study discusses the modeling of Islamic stock returns using the daily closing data of the Jakarta Islamic Index (JII) for the period March 2013-April 2017 with the AGARCH-Skewed Student-t model. The results of this study show that the ARIMA(0,0,3)-AGARCH (2,0) model is the best model for predicting Islamic stock returns.]
Efektivitas Contextual Teaching and Learning pada Materi Kubus dan Balok terhadap Kemampuan Berpikir Kritis Peserta Didik Madrasah Ibtidaiyah Urip Meilina Kurniawati; Iwan Kuswidi
Jurnal Fourier Vol. 10 No. 1 (2021)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Abstract

Penelitian ini dilakukan berdasar persoalan tentang masih rendahnya kemampuan berpikir kritis peserta didik Madrasah Ibtidaiyah pada bidang matematika, terutama materi geometri kubus dan balok. Berdasar hasil kajian, model pembelajaran contextual teaching and learning diperkirakan dapat menyelesaikan permasalahan tersebut. Penelitian ini bertujuan untuk mengetahui bagaimana efektivitas contextual teaching and learning terhadap kemampuan berpikir kritis peserta didik Madrasah Ibtidaiyah. Metode yang digunakan dalam penelitian ini adalah quasi eksperiment dengan desain non equivalent control group design. Kontrol pada penelitian ini adalah kelas dengan pembelajaran konvensional. Teknik pengumpulan data dalam penelitian ini meliputi wawancara, tes uraian pretest dan posttest, serta lembar observasi proses pembelajaran. Instrumen pembelajaran dengan Rencana Pelaksanaan Pembelajaran (RPP), dan Lembar Kerja Peserta Didik (LKPD). Adapun teknik analisis pada penelitian ini yaitu analisis deskriptif dan inferensial menggunakan uji Mann Whitney. Hasil pengujian menunjukkan bahwa pembelajaran pada kelas eksperimen lebih efektif daripada kelas kontrol. Pada kelas eksperimen, rata-rata n-gain sebesar 56,01% menunjukkan bahwa efektifitas contextual teaching and learning berada pada kategori cukup efektif, sedangkan pada kelas kontrol diperoleh nilai rata-rata n-gain sebesar 32,77% yang menunjukkan efektifitas pembelajaran konvensional pada kategori tidak efektif. Berdasarkan analisis tersebut, dapat disimpulkan bahwa pembelajaran yang menggunakan contextual teaching and learning lebih efektif dibandingkan pembelajaran dengan model konvensional terhadap kemampuan berpikir kritis peserta didik. [This research is based on the problem that occurs, namely the low critical thinking ability of Madrasah Ibtidaiyah students in mathematics subjects, especially geometry cube and cuboid. Based on the results of the study, the contextual teaching and learning model is estimated to be able to solve these problems. This study aims to determine the effectiveness of contextual teaching and learning on the critical thinking skills of Madrasah Ibtidaiyah students. The method used in this study is a quasi-experimental design with a non-equivalent control group design. The control in this study was a class with conventional learning. Data collection techniques in this study include interviews, pretest and posttest, and observation of the learning process. Learning instruments with learning plans (RPP), and student worksheets (LKPD). The analysis technique in this study is a descriptive and inferential analysis using the Mann-Whitney test. The test results show that learning in the experimental class is more effective than in the control class. In the experimental class, an average n-gain of 56.01% indicates that the effectiveness of contextual teaching and learning is in the quite effective category, while in the control class an average value of n-gain is 32.77% which indicates the effectiveness of conventional learning in the ineffective category. Based on this analysis, it can be concluded that learning using contextual teaching and learning is more effective than learning with conventional models on students' critical thinking skills.]
Profil Kesiapan Guru Matematika Madrasah Tsanawiyah dalam Melaksanakan PTK Suparni Suparni; Sayidatul Maghfiroh Az Zahra
Jurnal Fourier Vol. 10 No. 1 (2021)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

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Tujuan penelitian ini adalah mendeskripsikan profil kesiapan guru matematika madrasah tsanawiyah di wilayah DI Yogyakarta dalam melaksanakan Penelitian Tindakan Kelas (PTK), apa saja kendala yang dihadapi, dan upaya apa saja yang dilakukan guru matematika dalam melaksanakan PTK. Jenis penelitian ini deskriptif kualitatif. Guru matematika madrasah tsanawiyah se wilayah DI Yogyakarta yang tergabung dalam MGMP Matematika DIY menjadi subyek dari penelitian ini. Hasil penelitian ini adalah kesiapan guru matematika madrasah tsanawiyah DIY ditinjau dari faktor dalam (keahlian, kompetensi, dan motivasi) dan luar guru (kesempatan dan kondisi madrasah). Kendala yang dihadapi guru matematika madrasah tsanawiyah berkaitan dengan kemampuan melaksanakan PTK, kemampuan menuliskan hasil PTK dalam karya tulis ilmiah, dan kemampuan kolaborasi dengan teman sejawat dan pihak terkait. Upaya yang dapat dilakukan adalah mengikuti pelatihan PTK, pelatihan penulisan karya ilmiah untuk publikasi, dan meningkatkan kolaborasi dengan teman sejawat. [The purpose of this study was to describe the profile of the readiness of the mathematics teachers at the Madrasah Tsanawiyah in the DI Yogyakarta region in carrying out Classroom Action Research (CAR), what obstacles were encountered, and what efforts were made by mathematics teachers in implementing CAR. This type of research is descriptive qualitative. The mathematics teachers of Madrasah Tsanawiyah in the DI Yogyakarta region who are members of the DIY Mathematics MGMP are the subjects of this research. The result of this research is the readiness of mathematics teachers at the Madrasah Tsanawiyah DIY in terms of internal factors (expertise, competence, and motivation) and external factors (opportunities and conditions of the madrasa). Obstacles faced by mathematics teachers at Madrasah Tsanawiyah are related to the ability to carry out CAR, the ability to write CAR results in scientific papers, and the ability to collaborate with colleagues and related parties. Efforts that can be made are participating in CAR training, training in writing scientific papers for publication, and increasing collaboration with colleagues.]

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