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All Journal Issues in Mathematics Educations (IMED) Limits: Journal of Mathematics and Its Applications
Dwi Fitriani Rosali
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Computer Science & IT Education Mathematics

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Deskripsi Kemampuan Pemahaman Konsep Turunan Berdasarkan Teori APOS pada Siswa Kelas XII SMA Dwi Fitriani Rosali; Talib; Asdar
Issues in Mathematics Education (IMED) Vol. 3 No. 1 (2019): Volume 3 Nomor 1 Tahun 2019
Publisher : Program of Mathematics Education Department of Mathematics Faculty of Mathematics and Natural Sciences (FMIPA) Universitas Negeri Makassar (UNM)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/imed.v3i1.7530

Abstract

This research aims to describe the ability in understanding derivative concepts based on APOS theory. This research was a qualitative descriptive with the subjects were 6 students from class XII MIA at one of Senior High School in Makassar in 2018/2019 academic year which selected for certain purposes, namely students score and teacher recommendations. The instruments used in this research were a test of students' mathematics ability, test in understanding the derivative concepts based on APOS theory, and interviews. The results of the research showed that: (1) the students who have the high ability have fulfilled the indicators of understanding concept at the stage of action, and they fulfilled all indicators of understanding concepts in process and object stages. However, at the schema stage, the students only met 1 indicator of understanding the concept; (2) students who have the average ability have fulfilled the indicators of understanding concept at the action phase, and they fulfilled 1 indicator of understanding concept in the process phase, also they met all the indicators of understanding concepts in the object phase. However, at the schema phase, the students did not meet 1 indicator of understanding concepts; (3) students who have the low ability have fulfilled the indicators of understanding concept at the stage of action, and they fulfilled all indicators of understanding concepts at the process stage. However, the students did not meet the indicator of understanding concepts at the object and schema stage.
Penerapan Teori Residu dalam Penentuan Nilai Eksak dari Deret Tak Hingga Yusuf Ramadana; Dwi Fitriani Rosali
Limits: Journal of Mathematics and Its Applications Vol. 19 No. 2 (2022): Limits: Journal of Mathematics and Its Applications Volume 19 Nomor 2 Edisi No
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Teorema Residu memiliki penerapan yang menarik pada berbagai bidang matematika. Penerapan tersebut seperti pada evaluasi transformasi Fourier, transformasi Mellin dan penentuan nilai integral tak wajar yang melibatkan fungsi yang tergolong relatif rumit seperti pada integral Dirichlet dan integral Fresnel . Selain penerapan-penerapan tersebut dalam penentuan nilai eksak integral, teori residu juga mempunyai penerapan pada penentuan nilai eksak dari suatu deret tak hingga yang konvergen. Pada penelitian ini, diturunkan kemudian dibuktikan sebuah aturan untuk menentukan nilai eksak dari suatu deret tak hingga yang memenuhi syarat-syarat tertentu. Metode penelitian yang digunakan berupa kajian literatur. Peneliti mengumpulkan sumber-sumber ilmiah baik berupa artikel ilmiah maupun buku-buku yang kemudian dianalisis untuk mencapai tujuan penelitian. Hasil penelitian memberikan syarat cukup terkait dengan penggunaan rumus yang diperoleh, yaitu barisan (sup{|f(z)|:z \in C_N}) yang merupakan barisan dengan indeks konvergen dengan cepat ke nol serta analitik kecuali untuk berhingga banyaknya pola. Dari hasil yang diperoleh tersebut, peneliti juga melakukan perhitungan mengenai nilai eksak dari fungsi zeta-riemann di bilangan genap positif sebagai salah satu aplikasi dari aturan tersebut.
Co-Authors Asdar Talib Yusuf Ramadana