JURNAL ILMIAH MATEMATIKA DAN TERAPAN
Jurnal Ilmiah Matematika dan Terapan adalah Jurnal yang diterbitkan oleh Program Studi Matematika FMIPA Universitas Tadulako. Jurnal ini menerbitkan artikel hasil penelitian atau telaah pustaka bersifat original meliputi semua konsentrasi bidang ilmu matematika dan terapannya, seperti analisis, aljabar, kombinatorika, matematika diskrit, statistika, dan semua aspek terapannya.
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<![CDATA[Modifikasi Metode Householder Tiga Parameter yang Bebas Turunan Kedua dengan Orde Konvergensi Optimal ]]>
<![CDATA[Wartono]]>;
<![CDATA[Zulianti, M]]>;
<![CDATA[Rahmawati]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15434
<![CDATA[The Householder’s method is one of the iterative methods with a third-order convergence that used to solve a nonlinear equation. In this paper, the authors modified the iterative method using the expansion of second order Taylor’s series and approximated its second derivative using equality of two the third-order iterative methods. Based on the results of the study, it was found that the new iterative method has a fourth-order of convergence and requires three evaluations of function with an efficiency index of 1,587401. Numerical simulation is given by using several functions to compare the performance between the new method with other iterative methods. The results of numerical simulation show that the performance of the new method is better than other iterative methods.]]>
<![CDATA[Prediksi Jumlah Mahasiswa Baru Menggunakan Metode Regresi Linier Sederhana ]]>
<![CDATA[Almumtazah, N]]>;
<![CDATA[Azizah, N]]>;
<![CDATA[Putri, Y L]]>;
<![CDATA[Novitasari, D C R]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15465
<![CDATA[Jumlah mahasiswa baru suatu universitas selama 5 tahun terakhir yaitu mulai tahun 2016 hingga tahun 2020 mengalami kenaikan dan penurunan. Data tersebut selanjutnya akan digunakan untuk memprediksi pada tahun mendatang. Tujuan dibuat sebuah prediksi adalah untuk mengetahui rasio dosen yang tersedia dengan jumlah mahasiswa baru, mempersiapkan ruang kuliah dan juga fasilitas lainnya. Salah satu metode dengan penggunaan data masa lampau untuk melakukan prediksi adalah dengan metode regresi linier. Pada penelitian ini yang menjadi variabel bebas adalah periode tahun akademik sedangkan yang menjadi variabel terikat adalah jumlah mahasiswa baru. Data yang akan digunakan merupakan data mahasiswa baru fakultas sains dan teknologi yang terdiri dari 6 program studi dengan nilai MAPE (Mean Absolute Percentage Error) yaitu matematika , ilmu kelautan , biologi , sistem informasi , arsitektur , dan teknik lingkungan . Berdasarkan hasil analisis data tersebut juga didapatkan prediksi jumlah mahasiswa baru 5 tahun kedepan dengan hasil cenderung turun untuk setiap program studi.]]>
<![CDATA[Pelabelan Selimut Bintang Ajaib Super Pada Graf Bintang ]]>
<![CDATA[Mattiro, N]]>;
<![CDATA[Sudarsana, I W]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15479
<![CDATA[Let be a simple graph. An edge covering of is a family of subgraphs such that each edge of graph belongs to at least one of the , subgraphs. If each is isomorphic with the given graph , then it is said that contains a covering. The graph G contains a covering and the bijectif function is said an the magic labeling of a graph G if for each subgraph of is isomorphic to , so that is a constant. It is said that the graph G has a super magic if in this case, the graph G which can be labeled with magic is called the covering graph magic. A star graph with n points is a graph with points and sides, where point is degree and the other point has degree denoted by . This study aims to determine the presence of covering labeling for the super-magic star on the star graph. The research methodology is literature study. The results show that the star graph for has magic covering labeling with magic constants for all covering is and the super-magic covering labeling with magic constants for all covering is .]]>
<![CDATA[Analisis Kemampuan Penggunaan Teknologi Informasi Mahasiswa dalam Pembelajaran Matematika di Era Pandemi Covid-19 ]]>
<![CDATA[Sihotang, S F]]>;
<![CDATA[Ramadhani, R]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15492
<![CDATA[The Covid-19 pandemic had a major impact on various sectors, including the education sector. All schools and colleges in almost all countries affected by Covid-19 have implemented online learning. After being run for one-year, online learning conditions cannot be considered ideal because there are still various obstacles faced, especially in terms of the students' ability to use information technology. Facts that I found on my campus, there are still many students who find it difficult in terms of applications used and in terms of methods or processes of online learning. Thus, this study aims to analyze the influence of students' ability to use information technology variables on the difficulties experienced by students during online learning with E-learning media assistance in terms of applications used and in terms of learning methods or processes online during mathematics learning in the Covid-19 pandemic outbreak. The research method used in this study is structural equation modelling (SEM) analysis, to test the hypothesis. After conducting the research, the results obtained stated that the most positive and significant impact on students' ability to use information technology, namely the applications used during online learning variable compared to the online learning method or process variables themselves during mathematics learning in the Covid-19 pandemic outbreak.]]>
<![CDATA[Model Transportasi dalam Meminimumkan Biaya Distribusi Beras Kemasan ]]>
<![CDATA[Adoe, V S]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15496
<![CDATA[Rice is a strategic commodity that a very important role as the main staple food for the majority of people in Indonesia. Rice has its own distribution development pattern that provides added value to business actors. "CV. Hidup Baru Jaya" is a company in Kupang City that is engaged in distributing packaged rice from storage warehouses to several storage warehouses in other areas. In distributing the rice, the company tries to reduce or minimize the distribution costs incurred in order to obtain optimal profit. Mathematically, the transportation model is one solution that can be used to solve this rice distribution problem. By using POM-QM V4 as the optimal solution tool, it was found that the company could distribute 125 sacks of Raja Kupang rice to the Malaka Warehouse; 150 sacks of rice to Rote Warehouse, 75 sacks to Malaka Warehouse and 200 sacks to Atambua Warehouse for Stroberry rice; Nona Timor rice was 200 sacks to Semau Warehouse, 50 sacks to Rote Warehouse and 200 sacks to Sulamu Warehouse. Thus, the company profits Rp. 20,000,000, -.]]>
<![CDATA[Dua Formula Eksponensial (Operator Linear dari Semigrup) ]]>
<![CDATA[Meisaroh, L]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15500
<![CDATA[Assumed A is infinitesimal generator of C0-semigroup T(t) on X. This could be defined as T(t)=etA, applies if A is a bounded linear operator. Not if A is unbounded linear operator, then it will result in one possibility that show T(t) could be represented as etA. This paper will discuss and detail the proof of the other two formulas that show T(t) could be represented as etA.]]>
<![CDATA[Model Regresi Hurdle Negative Binomial (HNB) untuk Pemodelan Konsumsi Rokok di Provinsi Sulawesi Tengah ]]>
<![CDATA[Purnama, D I]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15506
<![CDATA[The average expenditure on cigarettes per capita in Sulawesi Tengah Province has increased in 2020. There are several factors that can affect a person's cigarette consumption including gender, age, education and health. To model cigarette consumption with several influencing factors can be use the poison regression model or the Zero Inflated Poisson (ZIP) model. However, the two regression models cannot solve the excess zero and overdispersion problems so use the Hurdle Negative Binomial (HNB) regression model. The results of the analysis of cigarette consumption data in Central Sulawesi Province using the HNB model provide the best modeling results compared to the poisson regression model and the ZIP model because it has the smallest Akaike's Information Criterion (AIC) value. The results of testing the factors that significantly influence cigarette consumption in Central Sulawesi Province in the HNB regression model, namely the count model are gender, age and health. Whereas in the zerohurdle model, it is gender, age and education.]]>
<![CDATA[Identifikasi Model Generalized Space-time Autoregressive (GSTAR) untuk Nilai Inflasi di Pulau Sulawesi ]]>
<![CDATA[Nur'Eni]]>;
<![CDATA[Lusiyanti, D]]>;
<![CDATA[Gunawan, I]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15522
<![CDATA[This study aims to identify a forecast model for the value of inflation at seven locations on the island of Sulawesi, namely Palu, Makassar, Gorontalo, Kendari, Manado, Mamuju and Palopo. Estimation of the parameters of the GSTAR model is carried out using the Ordinary Least Square (OLS) method with uniform location weights. The analysis results show that the GSTAR model (1,1) can be used to predict the value of inflation in Sulawesi Island.]]>
<![CDATA[Pengukuran Conditional Value At Risk (CVAR) Pada Aset Tunggal dengan Metode Simulasi Monte Carlo ]]>
<![CDATA[Ondja, T N]]>;
<![CDATA[Musdalifah, S]]>;
<![CDATA[Lusiyanti, D]]>;
<![CDATA[Andri]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15524
<![CDATA[Conditional value at risk (CVaR) merupakan suatu ukuran risiko yang memperhitungkan kerugian melebihi tingkat Value at risk (VaR). Tujuan dalam penelitian ini adalah mendapatkan hasil pengukuran Conditional Value at Risk (CVaR) pada aset tunggal dengan menggunakan metode simulasi Monte Carlo. Data yang digunakan dalam penelitian ini ialah harga penutupan saham harian PT. Bank Central Asia Tbk (BBCA.JK) dengan tingkat kepercayaan . Dari hasil perhitungan CVaR pada tingkat kepercayaan 99%, menghasilkan nilai CVaR sebesar . Hal ini dapat diartikan bahwa ada keyakinan sebesar kerugian yang mungkin akan diderita investor tidak akan melebihi dalam jangka waktu satu hari setelah tanggal 30 September 2020, atau dengan kata lain ada kemungkinan sebesar bahwa kerugian investasi pada periode tersebut sebesar atau lebih dalam jangka waktu satu hari dengan dana awal yang diinvestasikan sebesar Rp]]>
<![CDATA[Dinamika Populasi Pada Ekosistem Mangrove ]]>
<![CDATA[Hajar]]>;
<![CDATA[Puspita, J W]]>;
<![CDATA[Nacong, N]]>;
<![CDATA[Ridwan]]>
<![CDATA[ JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 18 No. 1 (2021) ]]>
Publisher : <![CDATA[Program Studi Matematika, Universitas Tadulako ]]>
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DOI: 10.22487/2540766X.2021.v18.i1.15534
<![CDATA[Budidaya mangrove merupakan salah satu upaya untuk meminimalisir kerusakan ekosistem laut dan lingkungan sekitarnya saat terjadi tsunami. Eksistensi ekosistem mangrove perlu dijaga dan dilestarikan secara berkelanjutan. Kepiting Uca memiliki peranan penting pada rantai makanan yang berlangsung dalam ekosistem mangrove. Penelitian ini bertujuan mengkaji interaksi antara populasi mangrove dan populasi kepiting Uca dalam ekosistem mangrove melalui pendekatan model matematika. Kami memperoleh empat titik kritis dari model yang telah dibangun. Tiga titik kritis dari model matematika eksis tanpa syarat, namun tidak stabil. Sedangkan titik kritis keempat yang menggambarkan kondisi koeksistensi populasi mangrove dan kepiting Uca dapat dijamin kestabilan lokalnya jika syarat kestabilannya terpenuhi. Hal ini mengindikasikan bahwa kehadiran populasi kepiting Uca dapat menjaga kelestarian ekosistem mangrove. Simulasi numerik diberikan untuk mendukung hasil analitik.]]>
