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Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Lalu Riski Wirendra Putra; Rendi Bahtiar Pratama; Gusti Yogananda Karang; Irwansyah Irwansyah; I Gede Adhitya Wisnu Wardhana; Mamika Ujianita Romdhini; Abdurahim Abdurahim; Fariz Maulana; Rio Satriyantara; Zata Yumni Awanis; Syaftirridho Putri; Syifa Salsabila Satya Graha; Fathul Maulina Wahidah; Lia Fitta Pratiwi; Satriawan Pradana; Ayes Malona Siboro; Farwan Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.12-16

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
Analisis Sistem Antrean Layanan Teller Lismawanti Safitri; Satriyantara, Rio; Irma Risvana Dewi
Mandalika Mathematics and Educations Journal Vol 7 No 2 (2025): Edisi Juni
Publisher : FKIP Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jm.v7i2.9068

Abstract

A bank is a financial institution that plays an important role in fulfilling and providing various financial services to customers. The increase in the number of customers and service time leads to queuing, especially at the teller section, thereby affecting waiting times. This article discusses customer queues at the teller service of Bank R in West Nusa Tenggara Province (NTB). Queues arise when service demand exceeds available capacity, causing customers to wait due to limited teller services. This study aims to analyze the optimization of the queuing system at teller services using the Multi-Channel Single-Phase queuing model. This model features multiple entry lines into the service system but only one service facility. The results show that the service intensity level () from Monday to Friday is , , , , and , respectively. Since , the steady-state condition is met. Thus, the queuing system performance can be considered optimal.
Pelatihan Aplikasi Google Drive Sebagai Media Penyimpanan dan Kolaborasi Untuk Siswa SMAN 1 Batulayar Fauzi, Andri Azmul; Ridwan, Lalu Muhammad; Agustini, Dwi; Hidayati, Lilik; Inayati, Rizqa; Tumilaar, Rinancy; Satriyantara, Rio; Utama, Alfian Eka; Fauzi, Muhammad Hilmi; Dewi, Irma Risvana; Ripai, Ripai; Irawan, Adi; Irawan, Ade; Rohmah, Zulfiani
Journal of Research Applications in Community Service Vol. 3 No. 2 (2024): Journal of Research Applications in Community Service
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/jarcoms.v3i2.2988

Abstract

Pengabdian ini bertujuan untuk memberikan pelatihan penggunaan aplikasi google drive sebagai media penyimpanan pada kegiatan pembelajaran pada siswa-siswi SMAN 1 Batulayar Lombok Barat. Kegiatan ini diharapkan dapat memberikan pemahaman kepada mereka tentang bagaimana cara penggunaan google drive sebagai media penyimpanan serta dapat memahami berbagai fitur-fitur yang ada pada aplikasi ini sehingga bisa dimanfaatkan pada kegiatan pembelajaran.  Dengan menggunakan google drive, siswa dapat menyimpan file-file penting seperti tugas, makalah, presentasi, dan dokumen lainnya dengan slot gacor 777 aman di cloud. Selain itu, fitur kolaborasi dalam google drive memungkinkan siswa untuk bekerja sama secara real-time pada proyek kelompok atau berbagi dokumen dengan guru. Metode yang digunakan pada pelatihan ini adalah metode ceramah, tanya jawab dan simulasi. Dengan adanya pelatihan ini, mampu meningkatkan pemahaman siswa mengenai pentingnya aplikasi google drivesebagai media penyimpanan pada proses pembelajaran. Selain itu, dengan adanya pelatihan ini, memberikan pemahaman kepada para siswa tentang pentingnya menguasai teknologi pada zaman sekarang ini.  
Numerical Invariants Of Nilpotent Graphs In Integer Modulo Rings Malik, Deny Putra; Karang, Gusti Yogananda; Aini, Qurratul; Maulana, Fariz; Satriyantara, Rio
Contemporary Mathematics and Applications (ConMathA) Vol. 7 No. 2 (2025)
Publisher : Universitas Airlangga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20473/conmatha.v7i2.69650

Abstract

Graph theory offers a robust framework for examining algebraic structures, especially rings and their elements. This paper focuses on the nilpotent graph of rings of the form Zpk​, where p is a prime and k∈N, investigating both their structural and numerical properties. We begin by characterizing the nilpotent elements in these rings and examining their relationship to ring ideals. The study then presents theoretical results on key graph invariants, including connectivity, chromatic number, clique number, and specific subgraph configurations. To complement these, we also analyze numerical invariants such as edge count and degree distribution, which reveal deeper connections between ring-theoretic and graph-theoretic properties. Our results highlight consistent structural patterns in nilpotent graphs of Zpk ​and provide a concrete contribution to algebraic graph theory by bridging properties of commutative rings and their associated graphs.
INDEKS WIENERDARI BEBERAPA STRUKTUR ALJABAR Ardana, Alfian Putra; Satriyantara, Rio; Widiastuti, Ratna Sari
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 3 No 2 (2024): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv3i02pp169-180

Abstract

Indeks Wiener adalah salah satu indeks topologi yang memainkan peran penting dalam kimia matematika. Artikel ini bertujuan untuk untuk merangkum, menyederhanakan dan menganalisis metode serta temuan terbaru terkait Indeks Wiener dalam konteks graf aljabar. Metode yang digunakan adalah dengan meninjau literatur secara sistematis terhadap jurnal-jurnal yang relevan, seluruh sumber yang didapatkan dari artikel ini adalah artikel yang diterbitkan dalam sepuluh tahun terakhir, memastikan relevansi dan kebaruan informasi. Kriteria inklusi mencakup artikel yang fokus pada teori dan aplikasi Indeks Wiener dalam konteks graf aljabar serta menyediakan rumus umum atau temuan signifikan, sedangkan kriteria eksklusi menghilangkan artikel tanpa peer-review, tanpa bukti matematis yang mendalam, atau yang fokus pada aplikasi non-aljabar. Artikel ini memuat informasi tentang Indeks Wiener dari graf pangkat dari grup dihedral 2n (Gamma^{D_2n}) , Indeks Wiener dari graf ideal prima dari ring bilangan bulat modulo (Gamma_p(Z_n)) dan Indeks Wiener dari graf identitas dari grup siklis (Gamma_G), dimana G dilambangkan sebagai grup siklis dan berorde n untuk n elemen N.
Indeks Sombor dari Graf Koprima Prima untuk Grup Bilangan Bulat Modulo Abdurahim, Abdurahim; Satriyantara, Rio; Maulana, Fariz; Wardhana, I Gede Adhitya Wisnu; Robbaniyyah, Nuzla Af’idatur
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.21120

Abstract

The prime coprime graph of integers modulo n is an ordered pair consisting of a set of vertices (integers modulo n) and edges. Two distinct vertices are said to be adjacent if the greatest common divisor (gcd) of their orders is either 1 or a prime number. This article discusses the prime coprime graph of integers modulo n for n = pq, where p < q are prime numbers. The results of the study include the degree characteristics of the vertices and the subgraphs formed. Additionally, the Sombor index of the graph is also determined.
Penguatan Kompetensi Profesional Guru Matematika Madrasah Tsanawiyah di Kota Mataram dalam Pembelajaran Geometri Melalui Pelatihan Pemanfaatan Tools Program GeoGebra Rusadi, Tri Maryono; Satriyantara, Rio; Robbaniyyah, Nuzla Af’idatur; Abdurahim, Abdurahim; Marwan, Marwan; Syamsul Bahri; Aini, Qurratul; Irwansyah, Irwansyah; Syechah, Bulqis Nebula; Salwa, Salwa; Awalushaumi, Lailia; Alfian, Muhammad Rijal; Maharani, Andika Ellena Saufika Hakim; Kurnia, Agus; Hidayat, Malik; Kusuma, Shendy Arya; Zikri, Lalu Muhammad Faiz
Bakti Sekawan : Jurnal Pengabdian Masyarakat Vol. 5 No. 2 (2025): Desember
Publisher : Puslitbang Sekawan Institute Nusa Tenggara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35746/bakwan.v5i2.851

Abstract

This community service program was carried out with the primary objective of enhancing the professional competence of mathematics teachers at the Madrasah Tsanawiyah (MTs) level in Mataram City, particularly in the teaching of geometry. Recognizing the importance of mastering digital technology in modern mathematics learning, the program focused on the introduction and application of GeoGebra as an interactive medium for teaching geometry concepts. The activities were conducted at the Basic Computer Laboratory of the Faculty of Mathematics and Natural Sciences, Universitas Mataram, involving 18 MTs mathematics teachers. The program consisted of introducing fundamental concepts of geometry, hands-on training on the technical use of GeoGebra, and an evaluation of learning outcomes through pre-tests and post-tests. The evaluation results indicated an improvement in participants’ scores, demonstrating the effectiveness of the training. The teachers’ enthusiasm was evident from their active participation in discussions, asking questions, and exploring GeoGebra’s features during the training. The pre-test results showed that participants scored between 7 and 20, with an average of 13.56. Following the post-test, scores improved significantly, ranging from 20 to 28 with an average of 24.89. This confirms that all teachers, without exception, experienced an increase in scores. The positive impact of this program is expected to contribute to improving the quality of mathematics teaching at the MTs level.
Indeks Harary Graf Koprima dan Graf Pangkat pada Grup Bilangan Bulat Modulo serta Grup Dihedral Luzianawati, Luzianawati; Satriyantara, Rio
Semeton Mathematics Journal Vol 2 No 2 (2025): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i2.307

Abstract

This study investigates the Harary Index of coprime graphs and power graphs constructed from the integer modulo group and the dihedral group. A coprime graph is defined as a graph whose vertices represent the elements of a group, where two vertices are adjacent if the orders of the corresponding elements are relatively prime. Meanwhile, a power graph is a graph in which two elements are connected whenever one is a power of the other within the group. The Harary Index is employed to measure the topological characteristics of the graph based on the distances between its vertices. The results show that the structure of the generated graphs allows for an explicit computation of the Harary Index, particularly for groups whose orders are prime powers.graphs facilitate the calculation of the Harary Index , especially for groups with prime power order.
Implementasi Modul Olimpiade SMP Di SMPN 2 Kuripan Lombok Barat Putra, Lalu Riski Wirendra; Pratama, Rendi Bahtiar; Karang, Gusti Yogananda; Irwansyah, Irwansyah; Wardhana, I Gede Adhitya Wisnu; Romdhini, Mamika Ujianita; Abdurahim, Abdurahim; Maulana, Fariz; Satriyantara, Rio; Awanis, Zata Yumni; Putri, Syaftirridho; Graha, Syifa Salsabila Satya; Wahidah, Fathul Maulina; Pratiwi, Lia Fitta; Pradana, Satriawan; Siboro, Ayes Malona; Farwan, Farwan
Sinergi dan Harmoni Masyarakat MIPA Vol. 1 No. 1 (2024): Oktober
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/sinonim.v1i1.5517

Abstract

Kegiatan pengabdian kepada masyarakat ini bertujuan untuk mengimpelementasikan modul pembelajaran olimpiade matematika bagi siswa SMPN 2 Kuripan. Kebutuhan akan modul ini didasarkan pada rendahnya akses siswa terhadap materi-materi persiapan olimpiade yang terstruktur dan sesuai dengan kemampuan serta kebutuhan mereka. Metode yang digunakan dalam pengembangan modul ini meliputi analisis kebutuhan, desain dan pengembangan modul, serta uji coba. Modul ini dirancang untuk mencakup berbagai topik matematika yang sering muncul dalam olimpiade, disertai dengan contoh soal dan pembahasan yang mendalam. Hasil dari kegiatan ini menunjukkan bahwa penggunaan modul olimpiade matematika ini dapat meningkatkan pemahaman siswa terhadap materi olimpiade, serta memotivasi mereka untuk lebih aktif dalam mengikuti kompetisi. Evaluasi melalui uji coba menunjukkan respon positif dari siswa, dengan peningkatan signifikan pada hasil latihan soal.
Peningkatan Pemahaman Konsep Geometri melalui Visualisasi Sketsa Grafik Fungsi bagi Siswa Di SMA Negeri 1 Pujut Zulhan Widya Baskara; Abdurahim, Abdurahim; Robbaniyyah, Nuzla Af'idatur; Ramadhan, Hikmal Maulana; Hidayatullah, Azka Farris; Alfian, Muhammad Rijal; Bahri, Syamsul; Awalushaumi, Lailia; Syechah, Bulqis Nebula; Marwan, Marwan; Salwa, Salwa; Rusadi, Tri Maryono; Maharani, Andika Ellena Saufika Hakim; Harsyiah, Lisa; Baskara, Zulhan Widya; Satriyantara, Rio
Bakti Sekawan : Jurnal Pengabdian Masyarakat Vol. 5 No. 1 (2025): Juni
Publisher : Puslitbang Sekawan Institute Nusa Tenggara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35746/bakwan.v5i1.733

Abstract

Geometry is one of the fundamental topics in mathematics, playing a crucial role in understanding shapes, sizes, positions, and spatial relationships between objects. Mastery of this concept is essential; however, in practice, many students still struggle to grasp geometry material. This issue is also evident at SMA Negeri 1 Pujut, where several students demonstrate a low level of understanding of geometric concepts. In response to this problem, the aim of the research is a community service activity was carried out in the form of tutoring sessions focused on improving students' understanding of geometry. This activity employed a visualization approach through function graph sketches to help students better comprehend the interconnections between concepts in a more concrete way. Based on the evaluation results, data showed that 86.67% of students exhibited improved learning outcomes after participating in the activity. This achievement indicates that the instructional method used by the facilitators was quite effective and well-received by the majority of participants.
Co-Authors Abdurahim, Abdurahim Ade Irawan Adi Irawan Agus Kurnia Alfian Eka Utama Alfian Eka Utama Alfian Eka Utama Ardana, Alfian Putra Ayes Malona Siboro Dara Puspita Anggraeni Dara Puspita Anggraeni Dara Puspita Anggraeni, Dara Puspita Dewi, Irma Risvana Dwi Agustini Dwi Agustini, Dwi Fariz Maulana Farwan Farwan Farwan, Farwan Fathul Maulina Wahidah Fauzi, Andri Azmul Fauzi, Muhammad Hilmi Graha, Syifa Salsabila Satya Gusti Yogananda Karang Harsyiah, Lisa Helmi Hariyanti Hidayat, Malik Hidayat, Noor Hidayatullah, Azka Farris I Gede Adhitya Wisnu Wardhana I Gede Adhitya Wisnu Wardhana Inayati, Rizqa Irma Risvana Dewi Irma Risvana Dewi Irma Risvana Dewi Irwansyah Irwansyah Irwansyah Irwansyah Karang, Gusti Yogananda Kusuma, Shendy Arya Lailia Awalushaumi, Lailia Lalu Riski Wirendra Putra Lia Fitta Pratiwi Lilik Hidayati, Lilik Lismawanti Safitri Luzianawati, Luzianawati Maharani, Andika Ellena Saufika Hakim Malik, Deny Putra Mamika Ujianita Romdhini Mamika Ujianita Romdhini, Mamika Ujianita Marhani Marwan Marwan Maulana, Fariz Muhammad Rijal Alfian Pahrurrozi Pahrurrozi Pradana, Satriawan Pratama, Rendi Bahtiar Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Putri, Syaftirridho Qurratul Aini Ramadhan, Hikmal Maulana Rendi Bahtiar Pratama Ria Maulina Ridwan, Lalu Muhammad Ripai, Ripai Rismayatun Ainun Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rohmah, Zulfiani Salwa Salwa Satriawan Pradana Siboro, Ayes Malona Suryanto, Agus Syaftirridho Putri Syamsul Bahri Syifa Salsabila Satya Graha Tri Maryono Rusadi Tumilaar, Rinancy Utama, Alfian Eka Wahidah, Fathul Maulina Widiastuti, Ratna Sari Zarkasi Zarkasi Zata Yumni Awanis Zata Yumni Awanis Zikri, Lalu Muhammad Faiz Zulhan Widya Baskara