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SYARAT CUKUP AGAR SUATU FUNGSI TERINTEGRAL HENSTOCK MUTLAK DI DALAM RUANG METRIK KOMPAK LOKAL manuharawati, Manuharawati; Darmawijaya, Soeparna
MATEMATIKA Vol 6, No 2 (2003): Jurnal Matematika
Publisher : MATEMATIKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (40.153 KB)

Abstract

Lee (1989) dan Widodo (1992) telah memperlihatkan bahwa integral Henstock di dalam ruang metrik biasa R bukan merupakan integral mutlak. Berdasarkan kenyataan tersebut, makalah ini membahas  syarat cukup agar suatu fungsi terintegral Henstock mutlak di dalam ruang metrik kompak lokal, khususnya ruang metrik nondiskrit.
PENDAMPINGAN PENYUSUNAN PROPOSAL PENELITIAN TINDAKAN KELAS (PTK) UNTUK GURU SEKOLAH DASAR DI KECAMATAN KASIMAN KABUPATEN BOJONEGORO Setianingsih, Rini; Manuharawati, Manuharawati; Sutinah, Sutinah; Lukito, Agung
Jurnal ABDI: Media Pengabdian Kepada Masyarakat Vol 1, No 1 (2015)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/ja.v1n1.p61-66

Abstract

Masih banyak guru yang mengalami kesulitan dalam melakukan penelitian, sehingga perlu dilakukan upaya yang dapat menumbuhkan sikap, kemampuan dan keterampilan meneliti pada para guru. Untuk keperluan tersebut, Tim Pelaksana melakukan kegiatan PKM yang bertujuan untuk mendeskripsikan kualitas proposal PTK yang disusun oleh guru-guru SD di Kecamatan Kasiman Kabupaten Bojonegoro, dan respon peserta. Sebagai khalayak sasaran adalah 40 orang kepala sekolah dan guru SD. Materi tentang Konsep PTK disampaikan dengan setting lecture dan whole class discussion, kemudian dilanjutkan dengan workshop penyusunan proposal PTK. Secara umum peserta merespon positif karena 36 peserta (92,31%) menyatakan bahwa kegiatan pendampingan ini sangat bermanfaat, meskipun waktunya terlalu singkat.
TEOREMA TITIK TETAP PADA RUANG METRIK BERNILAI KOMPLEKS LENGKAP Aisyah, Siti; Manuharawati, Manuharawati
Mathunesa : Jurnal Ilmiah Matematika Vol 6, No 2 (2018): Jurnal MathUnesa Vol 6 No 2 Tahun 2018
Publisher : Unesa

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Abstract

Diberikan  adalah himpunan bilangan kompleks. Misalkan  himpunan tak kosong dan fungsi dikatakan metrik bernilai kompleks jika untuk semua  memenuhi: (1) , (2) , (3) , dan (4) . Titik  disebut titik tetap dari fungsi ,  jika . Hasil penelitian ini menjelaskan lebih rinci mengenai kekonvergenan dan barisan Cauchy, serta kelengkapannya untuk membuktikan teorema titik tetap pada ruang metrik bernilai kompleks lengkap dan diberikan contoh-contoh.
Difficulties of Undergraduate Students to Understand of 2nd Calculus A, Ruslimin; Masriyah, Masriyah; Manuharawati, Manuharawati
International Journal of Trends in Mathematics Education Research Vol 2, No 1 (2019)
Publisher : IIES Independent

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (799.062 KB) | DOI: 10.33122/ijtmer.v2i1.35

Abstract

This study aims to describe the types of difficulties and factors causing the undergraduate students of Mathematics Education to have difficulty to understand materials of 2nd Calculus. This research is descriptive research with quantitative and qualitative approach. The research instruments used were tests and interview guides. The data analysis techniques consisted of three stages, namely: data reduction, data presentation and conclusions. The results of his research are the types of difficulties faced by students of S1 Mathematics Education in understanding 2nd Calculus  lecture material, namely: Difficulties in the stage of understanding, Difficulties in the transformation phase, Difficulties in the process skills stage, Difficulties at the stage of writing answers / solutions and the factors that caused by intellectual factors, namely: students do not understand the integral concept of substitution, Students do not understand the concept of trigonometric comparisons, students do not understand how to make an integral substitution example and do the substitution substitution into an integral form whose solution is to be sought, students do not understand about decomposition in trigonometry and do not understand which one decomposes and which one decreases, students do not know the formulas commonly used in trigonometry.
From Culture to Classroom: Study Ethnomathematics in House of Using Banyuwangi Hariastuti, Rachmaniah Mirza; Budiarto, Mega T.; Manuharawati, Manuharawati
International Journal of Trends in Mathematics Education Research Vol 2, No 2 (2019)
Publisher : IIES Independent

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (679.065 KB) | DOI: 10.33122/ijtmer.v2i2.60

Abstract

Banyuwangi is a town part of Java island, Indonesia. Cultural of Banyuwangi still run by original society named Using tribe. One of the culture which still defended by Using tribe is custom house. The paper describe about house of Using Banyuwangi and instructional design that made from the result of explore activity. This research joining ethnography method and development research. While the data collecting done with observation method, interview, and documentation. As for study device developed with ADDIE model that limited at development step. The result showed that house of Using?s construction show the existence of mathematics concepts specially geometry two dimension, pythagoras, and similarity. This result used to developed the instructional design based on contextual teaching ? learning. Selected items is pythagoras. The instructional design will be implementing at research hereinafter.
LEMMA HENSTOCK UNTUK SUATU FUNGSI BERNILAI VEKTOR DI DALAM RUANG METRIK KOMPAK LOKAL Manuharawati, Manuharawati
Sains & Matematika Vol 2, No 1 (2013): Oktober, Sains & Matematika
Publisher : Sains & Matematika

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Abstract

Based on an interval system S in a locally compact metric space, we have a cell in a locally compact metric space, i.e. an interval compact in S. In addition, if a cell E and a function d : E ® R+ are given, we have proven the exsistence of Perron d ® fine partition on E. Using a Perron d ® fine partition on a cell E, we can contruct a Henstock integral of a real valued function in a locally metric space nondiscrete. By generalizing a range function of its function, i.e. from a set of all real numbers to a vector space, we can construct a Henstock integral of a vector valued function on a cell in locally metric space nondiscrete. This research used a method of literature study, which was done by examining relative integral theories, building new concepts and proving theorems using logical mathematic reasoning as well as right calculation.
Incorporating Culture and Mother Tongue in Mathematics Learning : Counting Operation in Traditional Houses Using Banyuwangi Hariastuti, Rachmaniah Mirza; Budiarto, Mega Teguh; Manuharawati, Manuharawati
Malikussaleh Journal of Mathematics Learning (MJML) Vol 3, No 2 (2020): October
Publisher : Universitas Malikussaleh, Aceh Utara, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29103/mjml.v3i2.2482

Abstract

House of Using Banyuwangi is one of the cultural components of the Using tribe in Banyuwangi-Indonesia which contains a lot of mathematical concepts. The existence of mathematical concepts in culture, commonly known as ethnomathematics, can be the basis for the development of mathematics teaching materials for elementary school. In addition to the application of cultural components in the form of Using traditional houses, the use of Using language as a language of learning can also be a bridge for students to be able to more easily understand mathematical concepts that are still abstract.
Lemma Henstock untuk Suatu Fungsi Bernilai Vektor di dalam Ruang Metrik Kompak Lokal Manuharawati, Manuharawati
Sains & Matematika Vol 2, No 1 (2013): Oktober, Sains & Matematika
Publisher : Sains & Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Based on an interval system S in a locally compact metric space, we have a cell in a locally compact metric space, i.e. an interval compact in S. In addition, if a cell E and a function d : E ® R+ are given, we have proven the exsistence of Perron d ® fine partition on E. Using a Perron d ® fine partition on a cell E, we can contruct a Henstock integral of a real valued function in a locally metric space nondiscrete. By generalizing a range function of its function, i.e. from a set of all real numbers to a vector space, we can construct a Henstock integral of a vector valued function on a cell in locally metric space nondiscrete. This research used a method of literature study, which was done by examining relative integral theories, building new concepts and proving theorems using logical mathematic reasoning as well as right calculation.