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Contact Name
Resmawan
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resmawan@ung.ac.id
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+6285255230451
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euler@ung.ac.id
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Department of Mathematics, 3rd Floor Faculty of Mathematics and Natural Sciences, Universitas Negeri Gorontalo Jl. Prof. Dr. Ing. B. J. Habibie, Tilongkabila, Kabupaten Bone Bolango 96119, Gorontalo, Indonesia
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INDONESIA
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
ISSN : 20879393     EISSN : 27763706     DOI : -
Core Subject : Science, Education,
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. Euler disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and its applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, including: Mathematics Applied Mathematics Statistics and Probability Applied Statistics Mathematics Education Mathematics Learning Computational Mathematics Science and Technology
Articles 20 Documents
Search results for , issue "Volume 13 Issue 2 August 2025" : 20 Documents clear
Spatial Autoregressive Quantile Regression untuk Pemodelan Angka Harapan Hidup di Provinsi Sumatera Utara Marlina, Wenni; Sari, Rina Filia
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32367

Abstract

Life Expectancy (LE) is a key indicator for assessing the level of public health. North Sumatra Province still faces challenges in improving its LE, which remains below the national average. This study aims to compare three spatial models, namely: SAR, RSAR, and SARQR to model HLI in North Sumatra. Secondary data from 2023 for 33 districts/cities were obtained from the North Sumatra Provincial Statistics Agency, with HLI as the dependent variable and seven independent variables. The analysis began with multiple linear regression and classical assumption tests, followed by the formation of a spatial queen contiguity matrix, spatial effect tests (Moran's Index and Lagrange Multiplier), and modeling using the three spatial regression approaches. The results indicate that SARQR at the 0.1 quantile is the best model with the lowest AIC value (23.7764) and superiority in addressing spatial outliers. Therefore, SARQR at the 0.1 quantile is recommended as the optimal model for modeling AHH in North Sumatra.
Optimasi Penjadwalan Mata Pelajaran Berbasis Kurikulum Merdeka Menggunakan Integer Linear Programming Permana, Rendy Candra; Hanum, Farida; Bakhtiar, Toni; Supriyo, Prapto Tri
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32513

Abstract

Scheduling subjects in secondary schools implementing the kurikulum merdeka presents a complex challenge. Kurikulum merdeka demands a high degree of flexibility, fulfillment of individual learning needs, and integration between mandatory and elective subjects. The complexity increases due to time constraints, uneven distribution of teaching loads, limited classroom availability, and potential schedule conflicts between teachers and students. The manual approach, which is still commonly used, is often inefficient, time-consuming, and results in suboptimal schedules. To address these challenges, this study proposes an automated scheduling model based on Integer Linear Programming (ILP), implemented using LINGO 19.0 software. The model considers various real-world constraints, such as the maximum number of study hours per day, designated days for mandatory and elective subjects, the requirement for two consecutive periods per subject, and teacher availability. A case study was conducted for Grade XI at SMAN 58 Jakarta, involving 9 classes, 32 teachers, and 18 subjects (9 mandatory and 9 elective). The experimental results show that the model can produce efficient, conflict-free schedules, accelerate the scheduling process, and support equitable teacher workload distribution.
Analysis of Mpox Dynamic Model with Reinfection and Treatment Chasanah, Siti Laelatul; Nurvazly, Dina Eka; Sandy, Ikhlas Pratama; Hasanah, Arvi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32358

Abstract

This research aims to develop a mathematical model of monkeypox disease spread with reinfection and hospitalization. This model divided the human population into five sub-populations: susceptible, exposed, infectious, hospitalized, and recovered. On the other hand, the animal population is divided into three: susceptible, exposed, and infectious. The results of the model analysis show that the stability of the two equilibrium points, disease-free and endemic, is asymptotically stable when  and , respectively. A sensitivity analysis was conducted on the parameter of the rate at which infected individuals are hospitalized. Based on numerical simulations, a disease-free state has been achieved when more than 68.87% of infected individuals receive hospital treatment. Hospital treatment has a positive impact on efforts to reduce the number of infected individuals in the population. The more individuals who are hospitalized, the greater the number of individuals who are exposed, hospitalized, and recover will increase.
Global Trend of Numeracy Research: A Bibliometric Analysis Using Scopus Database Saputri, Veni; Kusumah, Yaya Sukjaya; Turmudi, T; Jupri, Al
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33003

Abstract

The study of numeracy has grown rapidly in the last decade, especially after the implementation of the Minimum Competency Assessment (MCA) in Indonesia since 2021. This research aims to map the development of numeracy research globally through bibliometric analysis, with a computational mapping approach using Bibliometrix in RStudio and VOSviewer. Article data was taken from the Scopus database published from 2014 to 2023. Article titles, keywords and abstracts guided the search process with reference to the keyword ‘numeracy’. A total of 811 documents were identified, of which 699 were cited. The analysis showed an increasing publication trend, with a predominance of contributions from specific countries and institutions, and a thematic focus on academic achievement, cognitive ability and early literacy. Keyword visualisations also reveal interrelationships between topics and show that the integration of technology in numeracy learning is still relatively limited. The findings provide a comprehensive overview of the structure and direction of numeracy research and open up opportunities for further exploration in digital and interdisciplinary learning contexts.
Kernel-Truncated Spline: Estimator Fleksibel untuk Regresi Nonparametrik Hidayat, Rahmat; Muthahharah, Isma; Resmawan, Resmawan
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33062

Abstract

This study aims to develop a multivariable nonparametric regression model using a hybrid approach that combines Spline and kernel estimators. This method is proposed to address the limitations of conventional nonparametric models that typically apply a single type of estimator across all predictor variables, regardless of their individual patterns. In this approach, predictors with oscillatory patterns are modeled using truncated Spline regression, while variables exhibiting complex nonlinear behavior are modeled using a Gaussian kernel estimator. The combined model is constructed and estimated using the Ordinary Least Square (OLS) method and applied to data on the average years of schooling in South Sulawesi Province, Indonesia. Results indicate that the model using two Spline knots and an optimal bandwidth for the kernel component yields the lowest Generalized Cross Validation (GCV) value of 0.142, outperforming models with one or three knots. The best-fitting model achieves a coefficient of determination (R²) of 91.214% and a Mean Squared Error (MSE) of 0.0461. These findings suggest that the hybrid regression approach offers greater flexibility and accuracy in modeling multivariable social data.
Analisis Kemampuan Berpikir Aljabar Ditinjau dari Gaya Kognitif Siswa Adilawati, Fitria Legi; Atiqoh, Khamida Siti Nur; Musyrifah, Eva
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32947

Abstract

The low ability of algebraic thinking in solving math problems is still a problem. One of the causes is that many students still make mistakes when solving math problems. This study aims to describe the algebraic thinking ability of high school students, cognitive style of Field Independent (FI) and Field Dependent (FD) students, determine the relationship and the magnitude of the influence between algebraic thinking ability with cognitive style of students. This research was conducted at 38 Senior High School  Jakarta, 66 Senior High School Jakarta, and 97 Senior High School Jakarta in the 2023/2024 school year. This research is a quantitative descriptive research, the test instrument is 6 items of description of algebraic thinking ability and GEFT test instrument developed by Witkin. The results showed that students' algebraic thinking ability was in the moderate category. Of the 102 respondents, 59% of students have FI cognitive style about 41% of students have FD cognitive style. There is a significant difference that students with FI cognitive style better than students with FD cognitive style. There is an influence between the cognitive style of students on the ability to think algebraically by 16.70%.
Peramalan Harga Emas Berjangka Menggunakan Metode ARIMA-GARCH Hasanah, Mauizatun; Putri, Mega Ramatika; Notodiputro, Khairil Anwar; Angraini, Yenni; Mualifah, Laily Nissa Atul
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32723

Abstract

Gold futures price forecasting plays an important role in investment decision-making and risk management, especially in the midst of volatile commodity market dynamics. This research aims to build an accurate gold futures price forecasting model by combining Autoregressive Integrated Moving Average (ARIMA) and Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. The ARIMA model is used to capture linear patterns and historical trends in time series data, while the GARCH model is able to handle the high volatility characteristic of gold price movements, something that conventional forecasting models often fail to capture. The data used in this study is daily gold futures price data collected over the period January 3, 2023 to March 31, 2025, which covers both normal market conditions and periods of turmoil, making it relevant to describe the overall market dynamics. The forecasting results show that the ARIMA-GARCH model with components (3,1,3) (1,1) with a MAPE of 4.52% indicates a good level of accuracy in the context of forecasting gold futures prices that have high volatility. Thus, this model provides precise forecasting results with actual data so that it can be used by market participants and policy makers in managing risks and designing strategies.
Perbandingan Kriteria Kataoka Safety First dan Mean Varians dalam Pembentukan Portofolio Saham Optimal Siswanah, Emy; Abdurakhman, Abdurakhman; Maruddani, Di Asih I
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32846

Abstract

The Markowitz Mean-Variance Portfolio and the Kataoka Safety-First criterion share similarities, as both serve as risk-control methods and suitable for risk-averse investors. This study compares these two approaches in constructing an optimal portfolio and evaluates their respective performances. The findings indicate that the portfolio weights derived from both methods are positive. Empirical evidence suggests that the expected return of the Kataoka Safety-First portfolio is consistently higher than that of the Mean-Variance method. However, this greater return is accompanied by a higher level of risk. Furthermore, the Sharpe and Treynor indices for the Kataoka Safety-First portfolio surpass those of the Mean-Variance method across both portfolio variations analyzed. These results confirm that the Kataoka Safety-First portfolio demonstrates superior performance compared to the Mean-Variance approach. Therefore, the Kataoka Safety-First criterion presents itself as a viable strategy for constructing an optimal portfolio tailored to risk-averse investors.
Implementasi Metode Bayesian untuk Menghitung Premi Produk Asuransi Kendaran Bermotor dengan Pendekatan Monte Carlo Markov Chain Situmorang, Boy Nathanael; A’la, Kevina Alal; Arvianti, Aurellia; Yusuf, Feby Indriana; Handamari, Endang Wahyu
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.32930

Abstract

Accurate premium determination is a fundamental aspect of risk management in motor vehicle insurance. This study implements the Bayesian method using a Markov Chain Monte Carlo (MCMC) approach to calculate the net premium. The aggregate claim model is constructed from a claim frequency distribution (Poisson) and a claim severity distribution (Generalized Extreme Value (GEV)), with the GEV distribution specifically chosen to model extreme claim risk. The analysis utilizes generated data for the period 2018–2024, with parameters derived from the historical data of PT Asuransi Jasa Indonesia Purwokerto (2013–2017). Parameter estimation, performed via OpenBUGS software, was validated to have achieved good convergence (MC-error   ). Based on the estimated parameters, a premium of IDR 397.502.000 was obtained, calculated using the net premium principle from the expected value of aggregate claims. These results demonstrate that the Bayesian MCMC approach is effective for producing a robust premium estimation, contributing a pricing framework that explicitly accounts for extreme value claims.
Pemodelan Statistik Total Klaim BPJS Kesehatan Berbasis Distribusi Pareto dan Weibull: Pendekatan Non-Homogeneous Poisson Process Fauziah, Irma; Mahmudi, Mahmudi; Safitri, Nur Izzati
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 13 Issue 2 August 2025
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v13i2.33562

Abstract

BPJS Kesehatan must be prepared with adequate financial reserves to pay participant claims, which requires careful financial analysis and management. One aspect of this analysis is estimating claim inter-arrival times and claim amounts using data patterns from various hospital types (A, B, C, and D). Given the time-varying intensity of claims, the Non-Homogeneous Poisson Process is the suitable method for this study. The best distribution models were selected based on the smallest Kolmogorov-Smirnov value. The findings indicate the best model for inter-arrival time data is a Pareto distribution, with different parameters for each hospital type. For claim amounts, the analysis shows claims from type A and D hospitals follow a three-parameter Weibull distribution, while claims from type B and C hospitals follow a two-parameter Weibull. Based on these results, BPJS Kesehatan needs to prepare average monthly reserve funds of IDR 10–11 trillion, with extreme scenarios requiring up to IDR 11–12 trillion per month.

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