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All Journal BIMASTER Epsilon: Jurnal Matematika Murni dan Terapan JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA AKSIOMA: Jurnal Program Studi Pendidikan Matematika SEMIRATA 2015 AKSIOMA Al-Jabar : Jurnal Pendidikan Matematika NUMERICAL (Jurnal Matematika dan Pendidikan Matematika) Jurnal Matematika Sains dan Teknologi JRST (Jurnal Riset Sains dan Teknologi) JTAM (Jurnal Teori dan Aplikasi Matematika) Teorema: Teori dan Riset Matematika Jambura Journal of Mathematics Mathvision : Jurnal Matematika GERVASI: Jurnal Pengabdian kepada Masyarakat Jurnal Pengabdian kepada Masyarakat Nusantara Jurnal Math-UMB.EDU Jurnal Abdimas Bina Bangsa Komatika: Jurnal Pengabdian Kepada Masyarakat
Nilamsari Kusumastuti
Program Studi Matematika Fakultas MIPA Universitas Tanjungpura Pontianak
Agriculture, Biological Sciences & Forestry Humanities Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Languange, Linguistic, Communication & Media Mathematics Social Sciences Transportation Other

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Peningkatan Motivasi Belajar Matematika bagi Siswa SMA Melalui Permainan Edukasi: Increasing Motivation to Learn Mathematics for High School Students Through Educational Games yundari yundari; Nilamsari Kusumastuti; Bayu Prihandono; Helmi; Mariatul Kiftiah; Nur’ainul Miftahul Huda; Yudhi; Meliana Pasaribu; Fransiskus Fran; Evi Noviani
Komatika: Jurnal Pengabdian Kepada Masyarakat Vol. 4 No. 2 (2024): November 2024
Publisher : Pusat Penelitian dan Pengabdian Kepada Masyarakat, Institut Informatika Indonesia Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34148/komatika.v4i2.963

Abstract

Understanding the basic concepts of mathematics is the key to learning and applying mathematics in other disciplines. Many students today only rely on memorizing formulas without understanding mathematics concepts. One way to be introduced so that students do not just memorize and think math is boring is educational games. Community service conducted by lecturers of the Mathematics Study Program FMIPA Tanjungpura University to students of SMA Negeri 1 Singkawang West Kalimantan amis to increase motivation to learn matematis through educational games. The method used was in the form of educational seminars on educational games in the field of mathematics and exhibitions of mathematical teaching aids. Students are given some basic math problems that can be solved through games. Some concepts of algebra, geometry, and statistics were given as examples in applying educational games. In addition, some props to facilitate math solutions were also given, such as trigonometry, geometry, and algebraic calculation props. One of the results obtained is that students feel that activities like this need to be done so that student's interest in mathematics increases. Furthermore, this activity also gives a better understanding of the basic concepts of mathematics to other disciplines
PEMODELAN MATEMATIKA PENYEBARAN PERILAKU PERUNDUNGAN DI SEKOLAH MENGGUNAKAN MODEL SBVR Titania Aulia; Bayu Prihandono; Nilamsari Kusumastuti
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 20, No 1 (2026)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v20i1.17735

Abstract

Bullying in the school environment is a social issue that adversely affects students’ psychological, social, and academic well-being. Understanding the dynamics of bullying behavior can be approached through mathematical modeling. This study develops a mathematical model of bullying behavior using the SBVR framework, which divides the population into four subpopulations: susceptible individuals, bullies, victims, and recovered individuals, to represent the dynamics of bullying behavior and evaluate the role of interventions in controlling it. The contribution of this study lies in the inclusion of a recovery compartment, which enables a more realistic representation of victim dynamics.The model is formulated as a system of nonlinear differential equations and analyzed to determine equilibrium points, compute the basic reproduction number as a key indicator of transmission potential, and evaluate the local stability of these equilibria. The results show that the model has two equilibrium points, namely a bullying-free equilibrium and a bullying-endemic equilibrium. The bullying-free equilibrium is locally asymptotically stable when the basic reproduction number is less than one, whereas the endemic equilibrium is stable when it exceeds one, indicating that this value acts as a threshold for the spread of bullying behavior. Numerical simulations show that increasing the effectiveness of interventions reduces the basic reproduction number and accelerates the decline in the number of bullies and victims. In addition, higher transition rates contribute to a faster spread of bullying behavior. These findings indicate that effective interventions play a crucial role in controlling bullying dynamics and can serve as a basis for developing strategies to reduce bullying in schools.
Coordinate Stability Analysis of PT PLN Customers with Variance and DBSCAN Clustering: Pontianak Case Study: Analisis Stabilitas Koordinat Pelanggan PT PLN dengan Variansi dan DBSCAN Clustering: Studi Kasus Pontianak Oktavia Arnelliza Ayu; Agus Haryadi; Nilamsari Kusumastuti; Muhammad Faqih Dzulqarnain
JRST (Jurnal Riset Sains dan Teknologi) Volume 10 No. 1, March 2026: JRST
Publisher : Universitas Muhammadiyah Purwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/jrst.v10i1.24866

Abstract

PT PLN (Persero) is a major electricity provider in Indonesia that relies on accurate spatial data management to support various operations, such as electricity bill delivery and network expansion planning. Accurate spatial data also plays an important role in making strategic decisions regarding future network development. This research aims to identify stable coordinate points and analyze clustering results using DBSCAN (Density-Based Spatial Clustering of Applications with Noise) on postpaid customer spatial data in Pontianak City, with a focus on the geographic coordinate point distance of customer homes. The dataset used includes information on the home coordinates of postpaid customers of PT PLN (Persero) Pontianak City from February to July 2024. Variance analysis was applied to determine which coordinate points were considered stable, while DBSCAN was used to determine clusters and identify noise based on data density. With an epsilon parameter of 0.0036 and minimum points (minPts) of 15, the results show two main clusters, the first cluster consists of 50 points and the second cluster consists of 18 coordinate points of customer house locations. In addition, no noise was detected in the data set. The results of this research provide strategic benefits for PT PLN. The main cluster allows PLN to prioritize network development in areas with high customer density to maintain optimal service quality. Meanwhile, although no noise was detected in this study, if there are low-density areas in other analyses, special strategies need to be designed to support service improvement in these areas.   ABSTRAK (Bahasa Indonesia) PT PLN (Persero) merupakan perusahaan penyedia listrik utama di Indonesia yang mengandalkan pengelolaan data spasial yang akurat untuk mendukung berbagai operasi, seperti pengiriman tagihan listrik dan perencanaan perluasan jaringan. Data spasial yang akurat juga memainkan peran penting dalam pengambilan keputusan strategis terkait pengembangan jaringan di masa depan. Penelitian ini bertujuan untuk mengidentifikasi titik koordinat yang stabil serta menganalisis hasil klasterisasi menggunakan DBSCAN (Density-Based Spatial Clustering of Applications with Noise) pada data spasial pelanggan pasca bayar di Kota Pontianak, dengan fokus pada jarak titik koordinat geografis rumah pelanggan. Dataset yang digunakan mencakup informasi titik koordinat rumah pelanggan pasca bayar PT PLN (Persero) Kota Pontianak dari Februari hingga Juli 2024. Analisis variansi diterapkan untuk menentukan titik koordinat yang dianggap stabil, sementara DBSCAN digunakan untuk menentukan klaster dan mengidentifikasi noise berdasarkan kepadatan data. Dengan parameter epsilon  sebesar 0,0036 dan minimum points (minPts) sebanyak 15, hasil menunjukkan dua cluster utama yaitu cluster pertama terdiri dari 50 titik dan cluster kedua terdiri dari 18 titik koordinat lokasi rumah pelanggan. Selain itu, tidak ada noise yang terdeteksi dalam data set. Hasil penelitian ini memberikan manfaat strategis bagi PT PLN. Klaster utama memungkinkan PLN dapat memprioritaskan pengembangan jaringan diarea dengan kepadatan pelanggan tinggi guna menjaga kualitas layanan tetap optimal. Sementara itu, meskipun tidak terdeteksi noise pada penelitian ini, jika terdapat area dengan kepadatan rendah pada analisis lain, strategi khusus perlu dirancang untuk mendukung peningkatan layanan diarea tersebut
Modeling the Ranking of Tourist Destinations in West Kalimantan Using the Fuzzy Analytical Hierarchy Process (FAHP) Approach Rama Valivi; Nilamsari Kusumastuti; Yudhi Yudhi; Bayu Prihandono
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2025)
Publisher : Universitas Ma'arif Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v9i2.6753

Abstract

The selection of tourist destinations in West Kalimantan that meet tourist’s needs is a challenge for tourists, due to lack of information and involves various criteria that are subjective and uncertain. An analytical method is needed to evaluate and rank tourist destinations in West Kalimantan. This research aims to rank tourist destinations in West Kalimantan so that it can become an information tool for tourists. The Fuzzy Analytical Hierarchy Process (FAHP) is a multi-criteria decision-making method that combines the Analytical Hierarchy Process (AHP) with fuzzy logic concepts to overcome uncertainty and improve assessment accuracy. The FAHP is used in ranking cascade tourist destinations by determine the criteria (C) used in choosing tourist destinations, namely natural beauty, uniqueness of natural resources, accessibility, supporting facilities, safety and comfort, potential activities, popularity and reputation, and affordability. Furthermore, the research questionnaire was prepared based on the criteria. From the results of distributing research questionnaires, it can be determined that cascade tourism destinations are used as alternatives (A), namely Riam Jugan, Pangar, Ampakng, Mangoi, Batu Susun, Marum, Berawat'n, Parangek, Merasap, and Eria. Next, the calculation of the weight for each criterion (W) is carried out. After that, the weight matrix of each cascade tour is calculated against each criterion (X) and the preference value (Y) for each cascade tourist destination. The result of applying the FAHP method is the ranking of cascade tourist destinations based on the order of preference value (Y) from higher to lower.
PERBANDINGAN AKURASI METODE BOOLE’S RULE DAN METODE KUADRATUR GAUSS-LEGENDRE DALAM PENYELESAIAN INTEGRAL TENTU Ayuni, Resti; Prihandono, Bayu; Kusumastuti, Nilamsari
BIMASTER : Buletin Ilmiah Matematika, Statistika dan Terapannya Vol. 15 No. 1 (2026): Bimaster : Buletin Ilmiah Matematika, Statistika dan Terapannya
Publisher : Faculty of Mathematics and Natural Sciences Tanjungpura University

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Perhitungan integral merupakan konsep penting dalam matematika yang digunakan untuk menentukan luas area di bawah kurva, namun tidak semua fungsi dapat diselesaikan secara analitik. Penelitian ini perbandingan akurasi dua metode numerik, yaitu metode Boole’s Rule dan metode Kuadratur Gauss-Legendre dalam penyelesaian integral tentu. Metode Boole’s Rule merupakan pengembangan dari metode Newton-Cotes yang menggunakan polinomial berderajat empat dengan titik evaluasi berjarak sama, sedangkan metode Kuadratur Gauss-Legendre menggunakan titik evaluasi optimal dipilih dari akar polinomial Legendre. Penelitian ini bertujuan untuk menentukan metode yang lebih akurat antara metode Boole’s Rule dan Metode Kuadratur Gauss-Legendre berdasarkan galat pada dua fungsi integral tentu. Uji coba dilakukan pada fungsi trigonometri untuk interval dan fungsi transenden untuk interval dengan membandingkan hasil numerik terhadap nilai eksak. Hasil menunjukkan bahwa pada fungsi untuk interval dengan metode Gauss-Legendre memiliki tingkat akurasi lebih tinggi, dengan rata-rata galat relatif sebesar , sedangkan metode Boole’s Rule menghasilkan galat relatif sebesar untuk fungsi yang sama. Pada soal kedua, untuk fungsi untuk interval dengan hasil galat estimasinya pada Boole’s Rule sebesar , sedangkan Kuadratur Gauss-Legendre galat estimasinya sebesar . Dari kedua persoalan integral tersebut, metode Boole’s Rule memiliki galat relatif maupun galat estimasi yang lebih besar dibandingkan dengan metode Kuadratur Gauss-Legendre. Dengan lima titik evaluasi, hasil penelitian menunjukkan bahwa metode Kuadratur Gauss-Legendre lebih akurat dibandingkan dengan metode Boole’s Rule.
PENERAPAN MODIFIKASI ALGORITMA WARNSDORFF DALAM IDENTIFIKASI LINTASAN DAN SIRKUIT HAMILTON PADA GRAF SEDERHANA Fadilatul Amalia; Nilamsari Kusumastuti; Yudhi Yudhi
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14263

Abstract

Graph Hamilton is one of the concepts in graph theory related to a path that visits each vertex exactly once before returning to the starting vertex in the case of a Hamiltonian circuit. This research focuses on determining whether a graph has a Hamiltonian path or circuit using the Warnsdorff algorithm. The Warnsdorff algorithm was originally developed to solve the Knight’s Tour problem on a chessboard by selecting the vertex with the smallest degree to reduce the likelihood of getting stuck without any further moves. However, this algorithm has a weakness as it does not always succeed in finding a Hamiltonian path in various types of graphs. Therefore, this study modifies the Warnsdorff algorithm by implementing a strategy of selecting the starting vertex based on the smallest degree and applying a re-search mechanism if a Hamiltonian path is not found. If the path is still not found, the starting vertex is replaced with the next smallest-degree vertex until a path is found or all possibilities have been tested. This modification is expected to increase the algorithm’s chances of finding a Hamiltonian path compared to the unmodified Warnsdorff algorithm. The research methodology includes applying the modified Warnsdorff algorithm to various simple graphs and analyzing its performance in finding Hamiltonian paths. The results show that the modified Warnsdorff algorithm can identify Hamiltonian paths in certain graph structures. This modification not only improves the success rate of finding Hamiltonian paths but also reduces the number of steps in some cases, with potential applications in route optimization and network design. The conclusion of this study confirms that although modifying the Warnsdorff algorithm improves its success in finding Hamiltonian paths, further development is still necessary to make it more reliable in handling graphs with more complex structures.
PENERAPAN TEORI GRAF DALAM PERMASALAHAN KONEKTIVITAS HABITAT SATWA LIAR DI KAWASAN KONSERVASI KALIMANTAN BARAT Widya Pebrianti; Nilamsari Kusumastuti; Evi Noviani
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 19, No 1 (2025)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v19i1.14513

Abstract

Kegiatan pembangunan seperti alih fungsi lahan dan pembangunan infrastruktur menyebabkan luas habitat alami satwa liar semakin berkurang, sehingga habitat yang tersisa semakin mengecil dan terpisah satu sama lain. Proses ini disebut fragmentasi, sehingga konektivitas antara habitat dengan kawasan konservasi menjadi penting untuk diperhatikan. Penelitian ini bertujuan untuk merepresentasikan jaringan konservasi dalam bentuk graf untuk mengkaji penerapan teori graf dalam konektivitas habitat satwa liar dan menemukan jaringan kawasan konservasi yang mencakup seluruh spesies yang dilindungi di Kalimantan Barat yang disebut koridor. Metode heuristik digunakan untuk menemukan subgraf terhubung yang mencakup seluruh satwa liar khas Kalimantan Barat yang dilindungi, dimana subgraf terhubung ini merepresentasikan koridor. Langkah pertama yang dilakukan adalah melakukan eksplorasi subgraf dengan cara menambahkan simpul-simpul pada subgraf tersebut, dimulai dari simpul awal hingga seluruh simpul tetangga dengan jarak tertentu hingga kumpulan spesies gabungan yang terdapat pada simpul-simpul subgraf yang ditemukan mencakup seluruh spesies yang dilindungi di Kalimantan Barat. Dilanjutkan dengan membentuk subgraf terinduksi dari subgraf yang diperoleh dari eksplorasi, kemudian melakukan pemangkasan untuk membuang simpul-simpul yang tidak berkontribusi. Hasil penelitian ini menunjukkan bahwa melalui representasi graf dan metode heuristik, dengan menjadikan setiap simpul sebagai simpul awal eksplorasi, diperoleh 11 subgraf terhubung yang mencakup seluruh spesies yang dilindungi di Kalimantan Barat.
Inovasi Media Pembelajaran Realistik Interaktif bagi Siswa Sekolah Dasar di Pulau Lemukutan Nur'ainul Miftahul Huda; Evi Noviani; Bayu Prihandono; Nilamsari Kusumastuti; Yundari Yundari; Helmi Helmi; Yudhi Yudhi; Fransiskus Fran; Meliana Pasaribu; Onelia Rochmah; Asri Rahmawati
Jurnal Pengabdian kepada Masyarakat Nusantara Vol. 7 No. 2 (2026): Edisi Mei - Agustus
Publisher : Lembaga Dongan Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55338/jpkmn.v7i2.8731

Abstract

Kesenjangan mutu pendidikan di wilayah kepulauan, seperti di Pulau Lemukutan, diperparah oleh keterbatasan sarana pembelajaran matematika yang kontekstual. Pengabdian ini bertujuan mengatasi rendahnya pemahaman konsep matematika melalui implementasi pendekatan Realistic Mathematics Education (RME) berbasis media interaktif. Metode pelaksanaan meliputi sosialisasi, pendampingan belajar bagi siswa kelas IV-VI di SDN 06 Pulau Lemukutan, serta evaluasi hasil belajar. Hasil kegiatan menunjukkan dampak positif yang konkret bagi mitra. Pada kelas V dan VI, terjadi peningkatan skor rata-rata yang signifikan sebesar 12,31 poin, di mana mayoritas siswa berhasil mencapai kategori nilai tinggi (≥80) dengan sebaran kemampuan yang lebih merata. Meskipun peningkatan di kelas IV cenderung kecil (2,86 poin) karena adanya disparitas kemampuan awal, penggunaan media realistik terbukti meningkatkan motivasi dan keterlibatan aktif siswa dalam memecahkan masalah sehari-hari. Simpulan dari pengabdian ini adalah media realistik interaktif efektif menjadi solusi pembelajaran di wilayah pesisir, namun memerlukan strategi pendampingan diferensiasi tambahan untuk jenjang kelas yang lebih rendah guna memastikan pemerataan capaian belajar.
Co-Authors Adrah Adrah Adrianto, Adrianto Agus Haryadi Alexander Alexander, Alexander Amanda, Kordula Mila Aminuyati Anisa Anisa Arif Febrianto Arsita, Sindy Arzeta, Ardila Asri Rahmawati Assegaf, Syf. Rizekia Ayuni, Resti Bayu Prihandono Bimantara, Abdul Rauf Dede Suratman Dona Fitriawan Epifania Kurva EVI JUNIATI Evi Novian Evi Noviani Fadilatul Amalia Fansiskus Fran Febby Desy Lia Fikadila, Lisa Fran, Fransiskus Fransiskus Fran Fransiskus Fran Fransiskus Fran Hapsari, Tiara Helmi Helmi Helmi Helmi HUDA, NUR’AINUL MIFTAHUL Lauren, Nover Lestari, Kornelia Anggun Lintang, Sekar M. Rif’at Mariatul Kiftiah Meliana Pasaribu Meliana Pasaribu Mudinillah, Adam Muhammad Faqih Dzulqarnain Nora Yoshinta Sigalingging Nurhamzah Nurhamzah Nurtaniyahya, Ilham Nurul Jannah NUR’AINUL MIFTAHUL HUDA Nur’ainul Miftahul Huda Oktavia Arnelliza Ayu Onelia Rochmah Putri, Dhea Veronica Qadri, Dalila Al Rama Valivi RANI RANI, RANI Raventino Raventino Rian Prasetio Rif’at, Mohamad Rismana, Fachrizal Iman Robiandi Robiandi Robiandi Saragih, Dearmauli Sari, Weni Kartika Sesaria Dewi Simorangkir, Jesicha Elisabeth Setyowati, Artini Sijabat, Harry Evendy Silvia, Elma Stefani Septiani Nanda Putri Sugiatno Sugiatno Sylvia, Margaretha Elza Tambunan, Ayu Oktavia Titania Aulia Tripina, Maria Verensia, Regita Widya Pebrianti Yani Agustina YB, Verasiska. Yuda Praja Yudhi Yudhi yundari yundari Yundari, Yundari Yundari, Yundari Yuni Fitriwanti