Budi Utomo, Rukmono
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Model Kompartemen Perjalanan Akademik Mahasiswa Universitas Muhammadiyah Tangerang (UMT) Budi Utomo, Rukmono
Jurnal Riset Matematika Volume 4, No.1, Juli 2024, Jurnal Riset Matematika (JRM)
Publisher : UPT Publikasi Ilmiah Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jrm.v4i1.3441

Abstract

Abstrak. Paper ini hasil penelitian perjalanan akademik mahasiswa Universitas Muhammadiyah Tangerang (UMT). Latar belakang penelitian ini didasari perjalanan studi mahasiswa UMT dibagi atas tiga bagian, yakni mahasiswa pada semester awal, menengah dan akhir. Mahasiswa semester awal adalah mahasiswa yang baru bergabung yakni siswa lulusan SMA sederajat dan pindahan. Lebih lanjut mahasiswa semester menengah merupakan mahasiswa pada posisi semester 3-6 dan mahasiwa semester akhir yakni pada semester 7 dan 8. Pada kenyataanya pada semester awal mahasiswa dapat berkurang karena kematian. Pada semester menengah mahasiswa dapat berkurang karena DropOut (DO) dan kematian dan pada semester akhir mahasiswa dapat berkurang karena DO, kematian dan kelulusan. Tujuan penelitian ini untuk menggambarkan perjalanan mahasiswa UMT menggunakan model matematika. Asumsi yang digunakan di penelitian ini dianggap populasi bersifat tertutup pada tahap semester menengah dan akhir. Mahasiswa yang masuk di semester menengah berasal dari mahasiswa semester awal dan mahasiswa semester akhir berasal dari mahasiswa semester menengah. Metodologi pada penelitian ini mengacu pada sistem persamaan differensial.  Hasil penelitian ini adalah mahasiswa yang masuk pada semester awal akan naik ke tingkat menengah dan akhirnya turun menjelang tingkat akhir. Mahasiswa semester menengah akan turun menjelang tingkat akhir dan mahasiswa tingkat akhir juga akan turun menjelang kelulusan. Abstract. This article is an output of our research about phenomenon academic flow of students at UMT. Background of this research is the fact that the academic flow of university students divided as three clusters named Initial cluster, middle cluster and finish cluster. Initial cluster is a place that collected new students. Middle cluster is a place where the students is in range 3-6 semester, and the finish cluster is a place where the last students collected. In every single cluster, total of students can be reduce because any factor like dead, Drop Out (DO) and graduated. Based on that story, we the aim of this research is we are trying to formulating that phenomenon into mathematic model. For Methodology, We are using compartment model. We also representing the model into graphic time series. The result describe that the total student in initial cluster will increase into middle cluster and will be reduce at the end. Total students in middle cluster will be reduce at the end approach the last semester. Total students at finish cluster absolutely will be turn down before their graduated.  
Comparative Study of National Education Standards among Three Large Islamic Foundations Budi Utomo, Rukmono
Indonesian Journal of Islamic Elementary Education Vol 5 No 1: May 2025
Publisher : Universitas Islam Negeri K.H. Abdurrahman Wahid Pekalongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.28918/ijiee.v5i1.8871

Abstract

Generally, we know that there are three biggest islamic education foundations in Indonesia, i.e. Muhammadiyah through Majelis Dikdasmen PP Muhammadiyah, Nahdlatul Ulama (NU) through Ma’arif Education Unit (LP Ma’arif NU) and Al Azhar Islamic Boarding School (YPI Al Azhar). The aim of this research is for comparing National Education Standard among their foundations. This research called as comparative study and we use literature study as our method. Steps of our research starts from collecting information about amount schools of Majelis Dikdasmen PP Muhammadiyah, LP Ma’arif NU and YPI Al Azhar. After that, next we make percentage based on those amount schools and also try to get an information about National Education Standar and do comparative one each other. The emergency or the reason why this research has to be done is because people want to know what the different of schools under those three Islamic foundations. The result of this research generally say that schools under Majelis Dikdasmen PP Muhammadiyah using nation curriculum combined with Islam Muhammadiyah, Arabic and English language (ISMUBARIS), Schools under LP Ma’arif NU using Ahlussunah Waljamaah Curriculum and schools under YPI Al Azhar using nation curriculum combined Al Azhar Curriculum called as  KP2M.
Metode Numerik Stepest Descent Terinduksi Newton dalam Pemecahan Masalah Optimisasi Tanpa Kendala Budi Utomo, Rukmono
Mosharafa: Jurnal Pendidikan Matematika Vol. 5 No. 3 (2016): September
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v5i3.406

Abstract

Penelitian teoritis ini mengkaji mengenai metode numerik Stepest Descent yang terinduksi Newton. Penelitian ini dilakukan dengan cara memahami terlebih dahulu mengenai metode numerik Stepest Descent dan Newton, kemudian mengkonstruksi metode baru yang disebut dengan Stepest Descent terinduksi Newton. Pada makalah ini turut disertakan pula contoh perhitungan numerik antara ketiga metode tersebut beserta analisis perhitungannya.