Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
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
163 Documents
Algoritma Dijkstra dan Algoritma Greedy Untuk Optimasi Rute Pengiriman Barang Pada Kantor Pos Gorontalo
Novria Fatmawati Lakutu;
Sri Lestari Mahmud;
Muhammad Rifai Katili;
Nisky Imansyah Yahya
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.18244
Delivery of goods is one of the services used in the online buying and selling process at the Post Office company. Companies need a performance in the distribution of goods that is more time-consuming and cost-efficient, so it requires determination in selecting the shortest path. Many algorithms have been used to help find the shortest path for distributing goods, including the Dijkstra Algorithm and the Greedy Algorithm. In this study, the application of the two algorithms is to find routes between sub-districts that are the destination of goods delivery, then compare to see which algorithm is more optimal. Based on the calculation results, the Dijkstra Algorithm can provide a more optimal solution with a total mileage obtained of 304.90 Km, while the Greedy Algorithm produces a total distance of 441.60 Km.
Model Problem Based Learning: Efektivitasnya Dalam Meningkatkan Hasil Belajar Sistem Persamaan Linear Dua Variabel
Hendro Budi Santoso;
Lailany Yahya;
Dewi Rahmawaty Isa
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.18387
This research is classroom action research. This study aims to improve student learning outcomes in the material system of two-variable linear equations. This research was conducted in class VIII SMP Negeri 3 Satap Tabongo, with 17 students as research subjects. Data collection is done by using observation and tests. Data analysis was carried out by looking at the average results of students who passed and the results of observations that reached the minimum good criteria. This research lasted for two cycles with results in the form of observations of teacher activities that increased from 73% to 88.5% in the good and very good categories. Furthermore, the results of student activities increased from 61.25 to 92% in the good and very good categories. As well as learning outcomes also increased from 58.82% to 88.2%. By looking at these results, it can be concluded that the Problem-Based Learning model can improve student learning outcomes in the matter of a two-variable linear equation system in class VIII SMP Negeri 3 Satap Tabongo.
Metode Response Based Unit Segmentation Partial Least Square pada Model Partial Least Square Path Modeling
Utriweni Mukhaiyar;
Karina Ayudhia Sasmito;
Muh. Qodri Alfairus
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.20105
Education is an important factor that can affect the development of a country and is a basic human need. To ensure the continuous progress of education, it is necessary to pay attention to the results and achievements of education in Indonesia. In this research model, Partial Least Square Path Modeling (PLS PM) is used to explain the relationship between education outcomes and achievements and the quality dimensions of provincial education in Indonesia. However, because there is heterogeneity in the population unit, the Response Based Unit Segmentation Partial Least Square (REBUS PLS) algorithm is used to overcome the alleged heterogeneity. The results showed that there were 20 influential indicators in the structural model, with the influential paths being student activities to participation, educational facilities and infrastructure to educational outcomes and achievements, student activities to educational outcomes and achievements, and participation to educational outcomes and achievements. REBUS PLS successfully detects heterogeneity and produces two segments, with the value of R2 on the local model greater than the value of R2 on the global model and the GoF value in the GoF large category.
Penerapan Model Pembelajaran Treffinger untuk Meningkatkan Kemampuan Pemahaman Konsep Matematis Siswa berdasarkan Self-Efficacy
Nindi Eliza Putri;
Abdul Fatah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.19879
In order to understand the content of mathematics, students must have an understanding of mathematical concepts. This study aims to examine how Treffinger learning can improve students' ability to understand mathematical concepts in terms of self-efficacy. This type of quantitative research is an approach designed for this experimental research. Class VII students of MTsN 1 Pandeglang are the population or object under study. The research design applied to the study was the Pretest-Posttest Nonequivalent Control Group Design. Sampling was determined using purposive sampling technique, class VII B and VII F were selected to serve as the experimental class and control class. Validated questionnaires and tests are useful research tools for collecting data on students' self-efficacy and ability to understand mathematical concepts. The hypothesis test in this study applies the Two-Way ANOVA test. The results of the study revealed that the Treffinger learning model provided an increase in the ability to understand mathematical concepts. What's more, there is a contribution between self-efficacy towards students' understanding of mathematics concepts.
Pemodelan Numerik Tsunami untuk Mengestimasi Waktu Tiba dan Ketinggian Maksimum Gelombang Tsunami di Teluk Amurang
Adelia Fatimah;
Rigolda Djamaluddin;
Suria Darwisito;
Jane Marianne Mamuaja;
Adnan Sjaltout Wantasen;
Joshian Nicolas William Schaduw
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.19463
Amurang Bay is a coastal area of South Minahasa Regency which is densely populated but faces the subduction zone of North Sulawesi which has the potential to generate earthquakes that trigger a tsunami. The process of the tsunami disaster occurred quickly, but the impact was very destructive and caused many casualties. This study aims to determine the propagation of tsunami waves with the worst scenario Mw 8.5 in Amurang Bay. Numerical methods in COMCOT software are used to model the propagation of tsunami waves in order to obtain an estimate of arrival time and maximum height of tsunami waves. Based on this modeling, the estimated arrival time of tsunami waves at the virtual tide gauge point in Amurang Bay is in the range of 8–11 minutes. The maximum height of tsunami waves is included in the alert category, which is 9.55 meters to 11.44 meters. The fastest estimated arrival time was recorded in Amurang Barat District and maximum height of tsunami waves was found in Tumpaan District. The results of this modeling can be used as one of the steps for mitigating tsunami disaster by preparing the surrounding community and assisting the evacuation process when a tsunami disaster occurs.
Model Pembelajaran Problem-Based Learning Dalam Meningkatkan Kemampuan Berpikir Kritis Siswa: Sebuah Meta Analisis Perbandingan Pelajaran Eksak dan Non Eksak
Azmiatun Solehah;
Vera Mandailina;
Mahsup Mahsup;
Syaharuddin Syaharuddin;
Abdillah Abdillah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.20219
The purpose of this study is to analyze more deeply the effectiveness of problem-based learning (PBL) in improving students' critical thinking skills, especially in exact and non-exact subject areas. Data were synthesized from 30 relevant research results over the past 10 years, then analyzed using meta-analysis through effect size (ES) and standard error (SE) values to see the summary effect size. The results of the analysis using JASP software showed that the level of effectiveness in exact and non-exact subjects was 65% and 92%, respectively. This shows that the effectiveness of the PBL learning model in improving students' critical thinking skills is higher in non-exact materials. Furthermore, the results of the analysis based on the level of education show that at the high school level has an effect of 89%, this value is higher than the elementary level of 69% and junior high school of 83%. Thus, in the future, the application of the PBL model is highly emphasized to be implemented at the high school level for non-exact subjects.
Model Discovery Learning Pada Pembelajaran Matematika Sekolah Menengah Pertama: A Bibliometric Review
Ilham Muhammad;
Dadang Juandi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.20042
In the context of learning mathematics, the Discovery Learning method provides an effective approach to developing students' understanding and mathematical skills at the junior high school level. There have been many studies related to Discovery Learning. This study aims to determine the focus of research related to Discovery Learning in mathematics learning, especially at the junior high school level and its novelty. The method used is descriptive bibliometric analysis. A total of 21 data were taken from the Scopus database which had been refined with 4 stages (identification, screening, eligibility, and inclusion). The results showed that the number of publications related to this field reached its highest peak in 2017 and 2019. The publications made in 2017 had a significant influence on research related to Discovery Learning in mathematics learning in junior high schools. The Indonesian University of Education and Sebelas Maret University have a great influence in publications related to this field. The research focus related to Discovery Learning in mathematics learning is divided into two parts, namely, 1) educational computing, problem based learning, problem solving and self regulated learning; 2) geometry, and self-efficacy . New themes and novelty of research related to this context have been discussed in this article.
Algoritma Genetika Untuk Penjadwalan Karyawan Ira Stationary
Kurniasari Abram;
Novianita Achmad;
Muhammad Rezky Friesta Payu;
Nurwan Nurwan;
Djihad Wungguli;
Asriadi Asriadi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.17364
Employee scheduling is an activity plan for time sharing that contains a schedule for carrying out planned activities in the form of a table. This study aims to create an employee schedule model using a Genetic Algorithm, which is a heuristic method inspired by the process of natural selection, the strong will survive and reproduce, the stages of the Genetic Algorithm are population initialization, fitness value, selection, crossover, and mutation. The study results show an optimal model consisting of at most two shifts with a maximum of two holidays a week and not consecutively.
Simulasi Harga Opsi Call Asia Dengan Suku Bunga Tidak Konstan
Isti Kamila;
Ani Andriyati
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.20061
In the financial world, the thing that is interesting for investors today is to predict a reasonable Asian Call Option price that does not cause the seller or buyer of the option to experience losses. The constant interest assumption is more often used by previous research as an assumption in predicting the price of Asian Call Options. This is not in line with the fact that interest rate movements are not constant. The use of incorrect assumptions will affect the accuracy of prediction results. In overcoming this problem, this study aims to predict the price of Asian Call Options with non-constant interest rates using Monte Carlo simulation. The non-constant interest rate model used is Cox-Ingersoll-Ross (CIR) because this model produces positive interest rates. This study begins with a screening of Normally distributed interest rate data. The data is used to determine the parameters of the CIR interest rate model. Next, an Asian Call Option price simulation with non-constant interest rates was carried out and ended by analyzing a graph of the Asian Call Option price simulation results with non-constant interest rates. The simulated price result of the Asian Call Option with non-constant interest rates converged at the value of $170.82. Based on the price chart of Asian Call Options with different strike prices, the larger the strike price causes, the larger the Asian Call Option price, which corresponds to the price characteristics of the Asian Call Option. In addition, by extending the maturity period, the price of Asian Call Options with non-constant interest rates is greater according to the price characteristics of Asian Call Options.
Model for Coupling Scheme and its Impact on Neurons Behaviour
Afifurrahman Afifurrahman
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo
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DOI: 10.34312/euler.v11i1.19964
Collective oscillations is typical phenomena observed in the systems biology including neurons. Investigating the mechanisms for which it occurs in neural networks evokes a significant interest among neuroscientists. From mathematical point of view, the coupling schemes rule the neuron’s behaviours ranging from microscopic to macroscopic scales. This paper aims to study the impacts of coupling schemes in a minimal network of two fully coupled identical oscillators (e.g., neurons). We proceed with the research by employing the numerical approach and time-series analysis. We consider both Kuramoto-like oscillator and Leaky integrate-and-fire neuron as the objects of study. In the former case, we found the phase of two oscillators are perfectly locked and stable if their frequency are identical, as stated by the main theorem. In the latter case, the membrane potentials of two neurons are perfectly synchronized, characterized by the same firing rate, due to the effect of excitatory delta pulses.