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All Journal E-Jurnal Matematika Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Diyah Ayu Rizki Pradita
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Earth & Planetary Sciences Mathematics

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TEOREMA RESIDU DAN APLIKASINYA DALAM INTEGRAL TAK WAJAR MOH. ATKURRAHMAN; MUNIAR ZULFITNI; DIYAH AYU RIZKI PRADITA
E-Jurnal Matematika Vol 11 No 1 (2022)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2022.v11.i01.p352

Abstract

In this study discusses about the solve of improper integral uses ordinary step and the solve uses residu theorem. For the ordinary step is used the concept of integral and substitution integral, and the for the residu theorem is used the concept of a series from complex functions in complex areas. this study purpose for apply the residue theorem to improper integral of the real function. And know the proportion to calculate the integral value using the residue theorem and the ordinary steps, and applying the residu theorem in calculating improper integral of the real function that can't be done using the ordinary steps. Using concepts or approaches of complex function series thus produced the formula to calculate the improper integral of the real function. And the result of this study is that calculating unnatural integrals is easier and faster using the residue theorem than using the ordinary step. Not all the integral to the real function can be calculated using the ordinary steps therefore it can be used the residu theorem formula as an alternative.
Eksplorasi Kesulitan Siswa dalam Menyelesaikan Soal Higher Order Thingking Skills (HOTS) dengan Menggunakan Metode Polya pada Materi Perbandingan Trigonometri Saiful Saiful; Diyah Ayu Rizki Pradita; Faridatun Guvroniah
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 2 No. 4 (2024): 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.v2i4.186

Abstract

This study aims to determine the difficulties of students in solving Higher Order Thingking Skills (HOTS) problems by using the Polya method in Trigonometric comparison materials. This research is a descriptive qualitative research. The subjects of the study were 36 students in class X.1 of SMA Negeri 2 Situbondo. Data collection techniques use test questions, interviews and documentation. The test in the form of Higher Order Thingking Skills (HOTS) questions is carried out to measure students' abilities. Interviews were conducted on 6 students based on the category of ability level of test results. Data analysis was carried out using data induction and reduction theory. The test results showed that those who scored in the high-level category were 10 students (28%), the moderate-level category was 14 students (39%) and the low-level category was 12 students (33%). The conclusion of this study states that the difficulty of students in solving Higher Order Thinking Skills (HOTS) questions using the polya method, namely subjects with high-level categories, experience difficulties at the re-examination stage. Subjects with a moderate level category, experienced difficulties at the stage of implementing the plan and re-examining. Subjects with low-level categories experienced difficulties at all stages of polya, namely at the stage of understanding the problem, making a plan, implementing the plan and re-examining.
Co-Authors Faridatun Guvroniah MOH. ATKURRAHMAN MUNIAR ZULFITNI Saiful Saiful