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All Journal Jurnal Pengabdian Kepada Masyarakat (JPKM) Tabikpun Limits: Journal of Mathematics and Its Applications
Alhusna, Lathifatul Inayah
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Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Education Health Professions Mathematics

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Pembelajaran Koordinat Kartesius dengan Menggunakan Pixel Art untuk Siswa Sekolah Dasar 'Aliyah, Dheva Ufiz; Alfiana, Shinta Nur; Alhusna, Lathifatul Inayah; Paramita, Arum Qurrotulaini Pradjna; Utami, Ratna Zakiyya Meilia; Puspita, Nikken Prima; Ratnasari, Lucia
Jurnal Pengabdian Kepada Masyarakat (JPKM) TABIKPUN Vol. 6 No. 1 (2025)
Publisher : Faculty of Mathematics and Natural Sciences - Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpkmt.v6i1.216

Abstract

Pembelajaran koordinat kartesius merupakan salah satu materi dasar dalam matematika yang diajarkan di sekolah dasar. Pembelajaran koordinat kartesius dapat dilakukan dengan banyak cara. Pengabdian yang kami lakukan, memberikan alternatif pembelajaran mengenai koordinat kartesius. Alternatif pembelajaran tersebut menggabungkan pembelajaran koordinat kartesius dengan pixel art. Kegiatan pengabdian masyarakat ini menyasar pada siswa-siswi Kelas 5 SD Muhammadiyah 16 Karangasem, Kota Surakarta. Tujuan dari kegiatan ini yaitu untuk meningkatkan pemahaman dan motivasi siswa dalam pembelajaran koordinat kartesius melalui pendekatan kreatif dengan Pixel Art dan Mystery Cartesian Coordinate Games. Selain itu, siswa juga dapat mengetahui penerapan matematika melalui pixel art. Hasil kegiatan menunjukkan peningkatan minat belajar, kerja sama, dan pemahaman konsep koordinat kartesius, serta menjadikan pembelajaran matematika lebih interaktif dan menyenangkan.
Kontrol Optimal Model Dinamik Penyebaran Penyakit Tuberkulosis dengan Kekambuhan di Kota Semarang Alhusna, Lathifatul Inayah; Herdiana, Ratna; Udjiani, Titi
Limits: Journal of Mathematics and Its Applications Vol. 22 No. 3 (2025): Limits: Journal of Mathematics and Its Applications Volume 22 Nomor 3 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this study, we modified the SVIR (Susceptible, Vaccinated, Infectious, Recovered) dynamic model by considering relapse in the spread of Tuberculosis (TB). To reduce the spread of TB, we applied optimal control theory using Pontryagin's Minimum Principle. Two control variables were used: TB prevention education and treatment for actively infected individuals. This optimal control system was solved through numerical simulations using the Forward-Backward Sweep and fourth-order Runge-Kutta methods. The results of the numerical simulations were used to illustrate the difference between implementing a control strategy and no control. The results showed that the education intervention was able to reduce the actively infected subpopulation by 99.74%, while if the treatment intervention alone was given, the number of infected individuals showed a decrease of 99.69%. However, when both interventions were implemented simultaneously, the actively infected subpopulation was able to be reduced by up to 99.90%. In this case, implementing education and treatment controls simultaneously was more effective than implementing the controls separately and was able to significantly increase the recovered subpopulation, indicating more optimal disease control
Co-Authors 'Aliyah, Dheva Ufiz Alfiana, Shinta Nur Herdiana, Ratna Lucia Ratnasari Nikken Prima Puspita Paramita, Arum Qurrotulaini Pradjna Titi Udjiani SRRM Utami, Ratna Zakiyya Meilia