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All Journal Jurnal Kesehatan Tambusai Transcendent Journal of Mathematics and Applications
Murida, Eva
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Computer Science & IT Dentistry Economics, Econometrics & Finance Environmental Science Health Professions Mathematics Medicine & Pharmacology Nursing Physics Public Health

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Penerapan Teorema Residu Cauchy dalam Integral Tak Wajar Hanim, Safiatun; Murida, Eva; Ramadhani, Rizka Aulia; Yuni, Syarifah Meurah; Syahrini, Intan
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.39119

Abstract

This article discusses the application of Cauchy's Residue Theorem to improper integrals of real functions. The theorem states that the integral along a simple closed contour is equal to 2i times the sum of the residues of the function at single points located inside the contour. Furthermore, the article describes various methods for determining the residues, including the use of Laurent series and Taylor series. In addition, Jordan's lemma is also referenced in this article. Cauchy's Residue Theorem on improper integrals can be employed to resolve integrals that are challenging to compute using traditional real analysis methods. By identifying the residue of the integral at a singularity within a closed contour, the integral along the contour can be evaluated. The application of the residue theorem to improper integrals can be expressed in a specific form to facilitate calculation. This method offers several advantages over conventional methods. Some of the sources consulted in the preparation of this article include the following publications: Complex Analysis, Residue Theorem and Its Applications, and Calculus Applications in Physics Lectures.
Prediction of the Population of Banda Aceh City Using the Laplace Transformation Syafira, Nurul; Murida, Eva; Hanim, Safiatun; Yuni, Syarifah Meurah; Amri, Saiful; Hafnani, Hafnani; Nurmaulidar, Nurmaulidar
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.38764

Abstract

Population prediction is an estimate of the population in the future based on assumptions from the population growth rate. Based on data from the Central Statistics Agency (BPS), the population in Banda Aceh City is increasing every year with an average growth of around 2%. The purpose of this research is to predict the population in Banda Aceh City using the Laplace transformation on exponential model. The exponential model is a simple model to describe population growth patterns. Using Laplace transformation can easily get a difinitive analytic solution. The Laplace transformation of the exponential model is used to calculate the growth rate with data on the population of Banda Aceh City in 2015-2022. Based on the results of the study, the value of the growth rate (r) is obtained from determining the precentage error (MAPE) of each model to determine the predicted value that is closest to the actual value. So, model VII is the most accurate with a value (r) is 0,00412. The result of this study also show that model VII is used to predict the population in Banda Aceh City in 2030 when is 266.259 people.
ANALISIS FAKTOR – FAKTOR YANG MEMPENGARUHI KINERJA PETUGAS KESEHATAN DI PUSKESMAS TEUPIN RAYA TAHUN 2023 Murida, Eva; Aramico, Basri; Abdullah, Asnawi
Jurnal Kesehatan Tambusai Vol. 6 No. 1 (2025): MARET 2025
Publisher : Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/jkt.v6i1.41965

Abstract

Banyak faktor yang mempengaruhi kinerja pegawai baik yang berasal dari dirinya maupun faktor- faktor lain yang berasal dari luar individu pegawai tersebut. Hasil survey awal yang dilakukan ditemukan masih banyak program yang belum mencapai target di PKM Teupin Raya, dimana PHBS hanya 33%, ASI eksklusif 40,98% dan kunjungan ibu hamil (K1) 68%. Hal ini dapat disebabkan karena kurangnya kinerja petugas promosi kesehatan sehingga terdapat program yang belum mencapai target. Tujuan penelitian ini yaitu untuk menganalisis faktor-faktor yang mempengaruhi kinerja petugas kesehatan di Puskesmas Teupin Raya. Penelitian ini bersifat deskriptif analitik dengan desain cross sectional. Populasi pada penelitian ini adalah seluruh petugas kesehatan di Puskesmas Teupin Raya. Proses pengambilan sampel metode total populasi sebanyak 44 orang. Pengumpulan data dilakukan dari tanggal 20 Juni – 7 Juli 2023. Proses penelitian dilakukan menggunakan metode wawancara. Hasil penelitian disajikan dalam bentuk tabel distribusi frekuensi. Analisis univariat dan bivariat menggunakan uji chi-square. Hasil penelitian menunjukkan responden yang kinerja petugas kesehatan kategori baik 52,3%, tidak mendapatkan motivasi 54,5%, lingkungan kerjanya baik 61,4%, tidak mendapatkan insentif 59,1%, dan beban kerjanya tinggi 43,2%. Hasil analisa bivariat adanya hubungan antara kinerja petugas kesehatan  dengan motivasi (p-value 0,006), lingkungan kerja (p-value 0,002), insentif (p-value 0,002), dan beban kerja (p-value 0,027).
Co-Authors Asnawi Abdullah Basri Aramico, Basri Hafnani Hafnani Hanim, Safiatun Nurmaulidar Nurmaulidar Ramadhani, Rizka Aulia Saiful Amri Syafira, Nurul Syahrini, Intan Yuni, Syarifah Meurah