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All Journal AKSIOMA: Jurnal Program Studi Pendidikan Matematika Journal of Natural Sciences and Mathematics Research Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Matematika UNAND Jurnal Ilmiah Pendidikan Matematika Al Qalasadi MANGGALI
Dinni Rahma Oktaviani
Universitas Islam Negeri Walisongo Semarang
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Education Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Social Sciences Transportation

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Boundedness of Pseudo-Differential Operator for S0 Class Muhammad Habiburrohman; Dinni Rahma Oktaviani
Journal of Natural Sciences and Mathematics Research Vol 6, No 2 (2020): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.2020.6.2.11219

Abstract

Pseudo-differential operator in a function space is obtained from the Fourier transform of this function space with a multiplier function. This paper will discuss and prove the boundedness of pseudo-differential operator in Lebesgue space with the multiplier function is in the class S0. The evolution of the pseudo-differential theory was then rapid. Based on development from this history, it has gave birth to the general definition of pseudo-differential operator that explain in this paper The general definition of pseudo-differential, of course has an applied or representation. One of them is the problem of partial differential equations in the Poisson equation  have the solution , and using Fourier transforms is obtained. In this case the form can be carried in the general form of a pseudo-differential operator. The  solution can be estimated for every if operator  is a bounded operator. In this paper, the operator defined with correspondes some symbol that describe this operator is more interest. The conclusion of this paper is the boundedness pseudo-differential operator , so we can estimated this number.©2020 JNSMR UIN Walisongo. All rights reserved.
PENGEMBANGAN BUKU AJAR KALKULUS BERORIENTASI PADA UNITY OF SCIENCES (UoS) Ayus Riana Isnawati; Dinni Rahma Oktaviani
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 11, No 1 (2022)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (6735.308 KB) | DOI: 10.24127/ajpm.v11i1.4461

Abstract

AbstrakPenelitian pengembangan ini bertujuan untuk menghasilkan buku ajar Kalkulus 1 yang berorientasi pada UoS serta sesuai dengan kurikulum di Jurusan Matematika UIN Walisongo. Subyek penelitian adalah mahasiswa jurusan Matematika UIN Walisongo Semarang. Teknik pengumpulan data adalah dengan kuesioner. Selanjutnya, data dianalisis menggunakan teknik analisis data kualitatif dan analisis data kuantitatif. Metode penelitian yang digunakan untuk mengembangkan buku ajar Kalkulus 1 di jurusan Matematika UIN walisongo adalah Research and Development (R&D), dengan model pengembangan Sadiman. Berdasarkan hasil uji validasi dan pengujian buku ajar kepada mahasiswa Jurusan Matematika UIN Walisongo Semarang, diperoleh bahwa buku ajar yang dihasilkan sangat layak untuk digunakan. Kata kunci: buku ajar; kalkulus 1; unity of sciences AbstractThis development research aims to produce a Calculus 1 textbook that is oriented towards UoS and is in accordance with the curriculum at the Mathematics Department of UIN Walisongo Semarang. The Research subject are the students of Mathematics Department of UIN Walisongo Semarang. Data collection techniques for this research is by questionnaires. Next, data are analyzed by qualitative data analysis techniques and quantitative data analysis tecniques. The research method used to develop the Calculus 1 textbook in the Mathematics Department of UIN Walisongo is Research and Development (R&D), with the Sadiman development model. Based on the results of the validation test and textbook testing for students of the Mathematics Department of UIN Walisongo Semarang, it was found that the resulting textbook was very feasible to use.  Keywords: calculus 1; textbook; unity of sciences 
Kernel dari Fuzzy Grup Dinni Rahma Oktaviani; MUHAMMAD HABIBURROHMAN
Jurnal Matematika UNAND Vol 12, No 1 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.1.46-54.2023

Abstract

Himpunan fuzzy dapat didefinisikan dalam bentuk struktur aljabar seperti grup fuzzy, grup anti fuzzy dan grup fuzzy intusionistik. Pada artikel ini akan dibahas mengenai kernel dari grup fuzzy, grup anti fuzzy dan grup fuzzy intusionistik serta beberapa sifat yang dapat diturunkan dari konsep tersebut.
Efektivitas Model Pembelajaran Examples Non Examples dengan Media Geogebra terhadap Kemampuan Pemahaman Konsep Matematika Siswa Kelvin Demanda; Yulia Romadiastri; Dinni Rahma Oktaviani
Jurnal Ilmiah Pendidikan Matematika Al Qalasadi Vol 8 No 1 (2024): JURNAL ILMIAH PENDIDIKAN MATEMATIKA AL QALASADI
Publisher : Prodi Pendidikan Matematika, Fakultas Tarbiyah dan Ilmu Keguruan IAIN Langsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32505/qalasadi.v8i1.7143

Abstract

This research aims to analyze the effectiveness of students' conceptual understanding abilities at SMPN 16 Semarang in spatial construction material by utilizing the example non-example learning model with GeoGebra media. This research uses an experimental design with a posttest-only control group and is a form of quantitative research. Class VIIIH was used as the experimental class, and class VIIIG was used as the control class. Samples were obtained using a cluster random sampling approach. Tests and documentation are used in research data collection procedures. The results showed that the average post-test score for experimental class students was while the average post-test score for control class students was From the t-test calculations, the values obtained are and with a sig value. 0.05. Students in the experimental class showed a better level of understanding of mathematical concepts than students in the control group; this can be seen from the findings, which show that tcount > ttable. Therefore, it can be concluded that the Example Non-example model, which utilizes geogebra media increases students' conceptual understanding of spatial construction material.
THE COMPARISON OF EXTENDED AND ENSEMBLE KALMAN FILTERS IN MODELING ENVIRONMENTAL POLLUTION INFLUENCES ON ACUTE RESPIRATORY INFECTION DYNAMICS (ISPA) Norasia, Yolanda; Oktaviani, Dinni Rahma; Putri, Devi Marita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss2pp987-998

Abstract

Acute Respiratory Infections (ISPA) are a significant health issue. According to the World Health Organization (WHO), ISPA is the leading cause of death among children under five worldwide. ISPA can be caused by environments with high levels of air pollution, particularly in urban areas. Predicting the spread of ISPA is a crucial step in controlling the disease. Since pollution sources are diverse, modeling and prediction can be difficult, which makes advanced methods such as the Kalman Filter (KF) desirable. This study compares two estimation methods, the Extended Kalman Filter (EKF) and the Ensemble Kalman Filter (EnKF), in predicting the spread of ISPA triggered by environmental pollution. Simulation results show that both methods can produce accurate estimations, but EnKF demonstrates superior performance in terms of RMSE compared to EKF. It predicts more accurately for susceptible (X) and infected (Y) populations with EnKF than with EKF. Based on the results of the EnKF for the X and Y populations, the RMSEs are 0.0660 and 0.1114, respectively. EnKF's advantage in handling uncertainty and non-linearity in the model makes it suitable for predicting the spread of ISPA.
Application of intuitionistic fuzzy sets in determining the major in senior high school Oktaviani, Dinni Rahma; Habiburrohman, Muhammad; Amalina, Ijtihadi Kamilia
Desimal: Jurnal Matematika Vol. 5 No. 3 (2022): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v5i3.13018

Abstract

Intuitionistic Fuzzy Set (IFS) is useful to construct a model with elaborate uncertainty and ambiguity involved in decision-making. In this paper, the concept relation and operation of intuitionistic fuzzy set and the application in major of senior high school determination using the normalized Euclidean distance method will be reviewed. Some theorem of relation and operation of intuitionistic fuzzy set are proved. In general, to prove the theorem the definition and some basic relation and operation laws of IFS are needed. The distance measure between IFS indicates the difference in grade between the information carried by IFS. There are science, social, and language majors in senior high school. The normalized Euclidean distance method is used to measure the distance between each student and each major. The major, which each student can choose, has been determined depending on test evaluations. The solution provided is the smallest distance between each student and each major using the normalized Euclidean distance method.
ALTERNATIVE PROOF OF THE INFINITUDE PRIMES AND PRIME PROPERTIES Oktaviani, Dinni Rahma; Habiburrohman, Muhammad; Nugroho, Fiki Syaban
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (338.764 KB) | DOI: 10.30598/barekengvol17iss1pp0475-0480

Abstract

Prime numbers is one of kind number that have many uses, one of which is cryptography. The uniqueness of prime numbers in their divisors and distributions causes prime numbers to be widely used in digital security systems. In number theory, one of famous theorem is Euclid theorem. Euclid theorem says about infinitely of prime numbers. Many alternative proof has been given by mathematician to find new theory or approximation of prime properties. The construction of proof give new idea about properties of prime number. So, in this study, we will give an alternative proof of Euclid theorem and investigate the properties of prime in distribution.
Meningkatkan Prestasi Olimpiade Sains Nasional (OSN), Kompetisi Sains Madrasah (KSM) 2022 Kota dan Kabupaten Semarang melalui Pembinaan Kepada Guru dan Siswa Habiburrohman, Muhammad; Oktaviani, Dinni Rahma; Tafrikan, Mohamad; Kurniawan, Prihadi
Manggali Vol 3 No 1 (2023): Manggali
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat, Universitas Ivet

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31331/manggali.v3i1.2529

Abstract

OSN (Olimpiade Sains Nasional) merupakan ajang lomba/kompetisi yang diselenggarakan oleh Kementrian Pendidikan dan Kebudayaan, kemudian KSM (Kompetisi Sains Madrasah) merupakan ajang lomba/kompetisi yang diselenggarakan oleh Kementrian Agama. Kedua kegiatan ini merupakan kegiatan tahunan yang bertujuan untuk menumbuhkembangkan suasana kompetitif yang sehat di kalangan siswa SD/MI, SMP/MTs, dan SMA/MA serta meningkatkan wawasan pengetahuan, kemampuan, kreatifitas serta menanamkan sikap disiplin serta kerja keras untuk menguasai ilmu pengetahuaan dan teknologi. Sebagai dosen yang peduli dengan penyelenggaran program pendidikan di tingkat dasar, ketua maupun anggota menyelenggarakan kegiatan pengabdian yakni berupa pembimbingan berkala dengan tujuan; 1) meningkatkan kemampuan guru sebagai pembimbing pertama di masing-masing sekolah; 2) meningkatkan kemampuan siswa yang mewakili sekolah agar mendapatkan hasil yang lebih baik dari tahun sebelumnya.
Efektivitas Model Pembelajaran Examples Non Examples dengan Media Geogebra terhadap Kemampuan Pemahaman Konsep Matematika Siswa Demanda, Kelvin; Romadiastri, Yulia; Oktaviani, Dinni Rahma
Jurnal Ilmiah Pendidikan Matematika Al Qalasadi Vol 8 No 1 (2024): JURNAL ILMIAH PENDIDIKAN MATEMATIKA AL QALASADI
Publisher : Prodi Pendidikan Matematika, Fakultas Tarbiyah dan Ilmu Keguruan IAIN Langsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32505/qalasadi.v8i1.7143

Abstract

This research aims to analyze the effectiveness of students' conceptual understanding abilities at SMPN 16 Semarang in spatial construction material by utilizing the example non-example learning model with GeoGebra media. This research uses an experimental design with a posttest-only control group and is a form of quantitative research. Class VIIIH was used as the experimental class, and class VIIIG was used as the control class. Samples were obtained using a cluster random sampling approach. Tests and documentation are used in research data collection procedures. The results showed that the average post-test score for experimental class students was while the average post-test score for control class students was From the t-test calculations, the values obtained are and with a sig value. 0.05. Students in the experimental class showed a better level of understanding of mathematical concepts than students in the control group; this can be seen from the findings, which show that tcount > ttable. Therefore, it can be concluded that the Example Non-example model, which utilizes geogebra media increases students' conceptual understanding of spatial construction material.
Co-Authors Amalina, Ijtihadi Kamilia Demanda, Kelvin Habiburrohman, Muhammad Ijtihadi Kamilia Amalina Isnawati, Ayus Riana Kelvin Demanda Kurniawan, Prihadi Muhammad Habiburrohman Muhammad Habiburrohman Muhammad Habiburrohman Norasia, Yolanda Nugroho, Fiki Syaban Putri, Devi Marita Tafrikan, Mohamad Yulia Romadiastri