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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 4 Documents
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Search results for , issue "Vol. 11 No. 2 (2022)" : 4 Documents clear
Analisis Kemampuan Koneksi Matematis Siswa dalam Menyelesaikan Soal Persamaan Trigonometri Halimatus Sadiyah; Dian Permatasari
Jurnal Fourier Vol. 11 No. 2 (2022)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2022.112.59-68

Abstract

Matematika merupakan salah satu mata pelajaran wajib yang ada di sekolah. Kebanyakan siswa menganggap pelajaran matematika merupakan pelajaran yang sulit. Hal ini karena matematika merupakan pelajaran yang abstrak. Namun dibalik kesulitanya, mempelajari matematika mempunyai banyak manfaat. Salah satunya adalah membangun koneksi matematis. Penelitian ini bertujuan untuk mengetahui kemampuan koneksi matematis siswa dalam menyelesaikan soal persamaan trigonometri, kesahalan-kesalahan yang sering siswa lakukan, faktor penyebab dan juga cara meningkatkan kemampuan matematis siswa. Metode yang dilakukan merupakan metode deskriptif kualitatif dengan subjek penelitian kelas XI Mipa 2 di salah satu SMA yang ada di Yogyakarta. Adapun teknik pengambilan data dalam penelitian ini berupa teknik tes dan teknik non tes yang berupa wawancara. Instrumen yang digunakan adalah butir soal tes uraian koneksi matematis persamaan trigonometri dan pedoman wawancara. Teknik analisis data dilakukan dengan reduksi data, penyajian data, dan menarik kesimpulan. Adapun hasil dari rata-rata kemampuan koneksi matematis siswa berada di tingkat sedang yaitu dengan presentase sebanyak 55,56% dengan jumlah 20 siswa. Sedangkan siswa dengan kemampuan koneksi matematis tinggi sebanyak 16,67% dan siswa dengan kemampuan matematis rendah sebanyak 27,77%. Hal ini menunjukkan sebagian besar siswa mampu mengaitkan koneksi matematis siswa antar konsep/prinsip matematika maupun antar topik matematika. [Mathematics is one of the compulsory subjects in school. Most students consider mathematics a difficult lesson. This is because mathematics is an abstract subject. But behind the difficulties, studying mathematics has many benefits. One way is to build mathematical connections. This study aims to determine students' mathematical connection abilities in solving trigonometry equations, mistakes that students often make, causal factors and also ways to improve students' mathematical abilities. The method used is a qualitative descriptive method with research subjects in class XI Mipa 2 at one of the high schools in Yogyakarta. The data collection techniques in this study were in the form of test techniques and non-test techniques in the form of interviews. The instruments used were test items describing the mathematical connection of trigonometry equations and interview guidelines. Data analysis techniques were carried out by data reduction, data presentation, and drawing conclusions. The results of the average student mathematical connection ability are at a moderate level, namely with a percentage of 55.56% with a total of 20 students. While students with high mathematical connection abilities were 16.67% and students with low mathematical abilities were 27.77%. This shows that most students are able to relate students' mathematical connections between mathematical concepts/principles and between mathematical topics.]
Dimensi Metrik Lokal dari Hasil Perkalian Kuat Graf Bintang Dea Azka; Diah Junia Eksi Palupi; Al Sutjijana
Jurnal Fourier Vol. 11 No. 2 (2022)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2022.112.49-58

Abstract

Diberikan graf terhubung dan sederhana G=(V(G), E(G)). Titik v elemen dari V(G) disebut membedakan titik x, y elemen V(G) jika jarak titik dari v ke x berbeda terhadap jarak titik v ke y. Himpunan W subset V(G) dengan W= {w1, w2, ... , wk} dengan merupakan himpunan k titik yang berada di G, kode metrik dari v terhadap himpunan w merupakan k-vektor yang didefinisikan codew(v)=(d(v,w1), d(v,w2), ..., d(v,wk)) Dengan d(u,v) merupakan lintasan terpendek yang menghubungkan titik u dan v. Himpunan W himpunan bagian dari V(G) disebut himpunan metrik lokal di G jika codew(v) tidak sama dengan codew(u) untuk setiap u yang adjacent di G. Himpunan metrik lokal dengan kardinalitas terkecil disebut basis metrik lokal. Kardinalitas basis metrik lokal disebut dimensi metrik lokal yang dinotasikan dengan diml(G). Sebagaimana yang diketahui, menghitung dimensi metrik lokal suatu graf termasuk NP-complete, yaitu suatu permasalahan matematika yang belum ada algoritma yang efektif untuk menyelesaikannya. Pada jurnal ini akan disajikan nilai dari dimensi metrik lokal dari graf hasil perkalian kuat, khususnya perkalian kuat pada graf bintang.
Analysis of Traffic Accident Correspondence in Central Java Province Regita Nurul Fitriani; Nur Khasanah
Jurnal Fourier Vol. 11 No. 2 (2022)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2022.112.78-87

Abstract

The transportation sector can facilitate and accelerate human activities. However, the development of the transportation sector has a negative impact that causes traffic jams and causes traffic accidents. Traffic accidents can cause fatalities which are divided into 3 categories, namely minor injuries, serious injuries, and death. This study aims to analyze the relationship between district or city variables in the province of Central Java with the status of the category of accident victims that occurred in 2019 – 2020. This study uses R Studio software as a tool to facilitate data analysis. The method used is correspondence analysis by representing the results obtained through the correspondence graph that is formed. In two consecutive years, accidents were dominated by victims of the minor injury status category in the city of Surakarta with a percentage of 94,7% in 2019 and 94,6% in 2020.
On continuity properties of the improved conformable fractional derivatives Dahliatul Hasanah
Jurnal Fourier Vol. 11 No. 2 (2022)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2022.112.88-96

Abstract

The conformable fractional derivative has been introduced to extend the familiar limit definition of the classical derivative. Despite having many advantages compared to other fractional derivatives such as satisfying nice properties as classical derivative and easy to solve numerically, it also has disadvantages as it gives large error compared to Riemann-Liouville and Caputo fractional derivatives. Modified types of conformable derivatives have been proposed to overcome the shortcoming. The improved conformal fractional derivatives are declared to be better approximations of Riemann-Liouville and Caputo derivatives in terms of physical behavior. In this paper, properties concerning continuity of the improved conformable fractional derivative are investigated. We prove the relation between -differentiable and continuity of a function and corresponding interior extremum theorem. We also prove the properties close to Rolle’s Theorem and Mean Value Theorem for the improved conformable fractional derivatives.

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