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MEMAHAMI INTEGRAL PARSIAL SECARA ANALITIS SERTA MEMPERLUAS APLIKASINYA DALAM BERBAGAI KONTEKS MATEMATIKA DAN ILMU YANG TERKAIT Nazwa Isfalana Idris; Tasya Maria Agustin Marpaung; Ul'fah Hernaeny, M. Pd
Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Vol. 4 No. 1 (2024): Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam
Publisher : Cahaya Ilmu Bangsa Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.3483/trigonometri.v4i1.4607

Abstract

Integral parsial dikembangkan pada abad ke-17 oleh matematikawan seperti Isaac Barrow dan Gottfried Wilhelm Leibniz. Barrow, pelopor kalkulus, memperkenalkan ide integral sebagai kebalikan dari diferensiasi, yang membantu membangun fondasi untuk integral parsial. Integral parsial terus berkembang dan diperluas seiring waktu, dengan kontribusi dari banyak matematikawan terkenal dan penelitian dalam berbagai bidang matematika dan ilmu terapan. Ini menjadikannya alat penting dalam kalkulus dan analisis matematika modern. Integral parsial adalah salah satu teknik integral penting dalam kalkulus dan sering digunakan bersama dengan teknik integrasi lainnya untuk menyelesaikan masalah integral kompleks. Integral parsial digunakan saat mengintegrasikan produk dua fungsi yang sulit diintegralkan secara langsung, seperti fungsi eksponensial, trigonometri, atau polinomial yang kompleks. Dalam praktiknya, integral parsial sering digunakan dalam fisika, teknik, dan ilmu lainnya yang memerlukan integrasi dari produk dua fungsi. Menguasai teknik ini penting bagi mereka yang bekerja di bidang-bidang tersebut.
Penerapan Pendidikan Karakter Berbasis Pancasila Pada Mata Pelajaran Budi Pekerti Dan Nasionalisme Clara Widhani Fauziah; Natasya Karla; Rr.Dinda Bayu Putri; Tasya Maria Agustin Marpaung
JURNAL ILMIAH NUSANTARA Vol. 2 No. 1 (2025): Jurnal Ilmiah Nusantara
Publisher : CV. KAMPUS AKADEMIK PUBLISING

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61722/jinu.v2i1.3105

Abstract

This study aims to analyze the implementation of character education based on Pancasila values through the local content subject "Budi Pekerti dan Nasionalisme" (BudNas) at SMA 17 Agustus 1945. Employing a qualitative approach, data were collected through in-depth interviews with students and teachers, as well as literature reviews. Data analysis utilized the Miles and Huberman model, including data reduction, data presentation, and conclusion drawing. The findings indicate that BudNas effectively instills Pancasila values, such as tolerance, mutual cooperation, and patriotism. However, limited teaching hours and monotonous teaching methods remain significant challenges. Recommendations include extending lesson duration, adopting more interactive methods, and engaging students in practical activities to optimize learning outcomes.
Dampak Aktivitas Masyarakat Terhadap Lingkungan di Terminal Kampung Rambutan Dyah Ayu Nur Aini; Tasya Maria Agustin Marpaung; Gaitsa Zahira Shafira; Ikhtiar Saputra Aksan; Edward Alfin
Quantum Wellness : Jurnal Ilmu Kesehatan Vol. 3 No. 2 (2026): Juni: Quantum Wellness : Jurnal Ilmu Kesehatan
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/quwell.v3i2.3182

Abstract

This research is motivated by the importance of maintaining environmental quality in high-activity public transportation facilities. This study aims to determine the impact of public activities on the environment at Kampung Rambutan Terminal, East Jakarta, focusing primarily on air quality and waste management issues. This study utilizes a qualitative descriptive method through direct field observation techniques and in-depth interviews with terminal managers and workers.The results show that the heavy traffic of motorized vehicles and the ongoing excavation projects around the location cause the air quality around the terminal to fall into the moderate category. Based on IQAir data, the primary pollutant detected is PM2.5 at 27,8 µg/m³. Furthermore, the high activity of passengers and street vendors leads to a significant increase in waste volume, particularly during the peak mudik (exodus) season. Based on interview results, sanitation workers routinely clean the terminal area everyday to maintain environmental cleanliness. This study recommends increasing the frequency of waste collection and planting pollutant-absorbing vegetation.
Perspektif dalam Pendidikan Matematika dan Implikasinya terhadap Proses Pembelajaran Tasya Maria Agustin Marpaung; Syalsabilah Alamsyah; Adrianus R. Piran; Nasywa Mahesa
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 4 No. 4 (2026): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v4i4.1011

Abstract

As a core academic discipline, mathematics contributes substantially to shaping learners' rational, critical, and orderly thinking. Even so, classroom practice still reveals a range of obstacles that leave students struggling to grasp concepts and work through mathematical problems. This paper sets out to review what mathematics learning is meant to achieve, the difficulties students commonly face, and how teachers can help address them. A literature-review approach was taken, drawing on a range of relevant scholarly sources. The review suggests that how well students learn mathematics hinges on their active involvement, how deeply they grasp the underlying concepts, and the instructional strategies teachers put to use. Such difficulties tend to stem from both internal and external factors that intertwine with one another. Teachers are therefore called upon to take on their roles fully  as facilitators, mentors, motivators, and innovators so that learning becomes more meaningful. Adopting suitable instructional approaches is expected to lift both the learning process itself and students' mathematics achievement.