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Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Published by Universitas Negeri Gorontalo
ISSN : 20879393     EISSN : 27763706     DOI : -
Core Subject : Science, Education,
Computer Science & IT Mathematics
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
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 163 Documents
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METODE SIMULASI HISTORIS UNTUK PERHITUNGAN NILAI VALUE AT RISK PADA PORTOFOLIO DENGAN MODEL MARKOWITZ I Wayan Eka Sultra; Muhammad Rifai Katili; Muhammad Rezky Friesta Payu
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.11518

Abstract

A portfolio concerns the formation of the composition of multiple assets to obtain optimum results. At the same time, Value at Risk is a technique in risk management to measure and assess parametrically (variant and co-variant), Monte-Carlo, and historical simulation. This research employed historic simulation because normal distribution is not required from returns and is a Value at Risk calculation model that is determined by the past value on produced return asset, in which this research aimed to determine the Markowitz model positive shares and Value at Risk in the portfolio by using historical simulation. The Markowitz model found eight shares with positive expected returns, which are as follows: BBCA, BBRI, BRPT, EXCL, ICBP, INDF, MNCN, and TPIA. The BBCA has the most significant exposure of all the shares with the amount of Rp 2.287.200.440.000, while the TPIA has the smallest exposure of all the shares with the amount of Rp 58.899.375.000. Further, the EXCL has the largest VaR with the amount of Rp 236.189.538.497, while the TPIA and ICBP had no VaR losses because the VaR of TPIA and ICBP is Rp 0 and Rp -1.407.719.893, respectively, along with the INDF as the share with the smallest VaR of Rp 18.513.213.620. The most significant exposure average is Rp 719.246.318.375, while the largest VaR average is Rp 76.827.608.341,3. As long as the VaR did not exceed the exposure value, the investors will be safe and have no loss.
MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA MELALUI PEMBELAJARAN MULTIMEDIA INTERAKTIF DENGAN MODEL DISCOVERY LEARNING Dian Puspita Aprilia Laknasa; Abdul Wahab Abdullah; Khardiyawan A. Y. Pauweni; Kartin Usman; Abas Kaluku
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.11100

Abstract

The purpose of this research is to improve students’ mathematics learning outcomes on ball material through interactive multimedia learning with discovery learning models. This research was conducted in class IX-4 of MTs Negeri 2 Boalemo in the 2019/2020 school year with a total of 21 student. This research is a Classroom Action Research conducted with 1 cycle. The instruments used are in the form of teacher activity observation sheets, student activity observation sheets, and learning outcomes tests. The results of observations of teacher activities obtained a minimum category of good or very good with a percentage of 87.5% and the results of observations of student activities obtained a minimum category of good or very good with a percentage of 91%. Meanwhile, for the learning outcomes test, 19 students achieved the Minimum Completeness Criteria (KKM), or about 90.5%, and 2 students did not complete the test, or around 9.5%. The average student's mathematics learning outcomes on the ball material are 89% or meet the indicators of success
ESTETIKA MATEMATIS MOTIF SONGKET PADA ANYAMAN MENDONG TASIKMALAYA Fitriani Muldiana; Shofa Laelatul; Neng Ani Karleni; Nani Ratnaningsih
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.11259

Abstract

Mathematics is an enigmatic and captivating idea. Mathematics can also be defined in the context of patterns. This is because mathematics contains patterns, structures, and depictions of an object that grows and is rooted in real life. The structure or pattern that is arranged systematically will produce work, objects, and even an agreement. Life mathematics and mathematics in school learning can be combined with aesthetic studies to achieve contextual learning. This study uses qualitative research with an ethnographic approach. The purpose of this study was to reveal the aesthetic value and mathematical concepts of the mendong woven pattern with the songket motif. The location of this research is Babakan Cikawung Village, Margabakti Village, Cibeureum Awipari District, Tasikmalaya Regency. This study involved 3 subjects. Data collection techniques were carried out through unstructured interviews, observation, documentation, and literature review. Unstructured interviews were used to ask about the craft of mendong and the process of making mending weave with songket motifs. Observations or observations are made to find mathematical concepts and mathematical aesthetic values by studying the aesthetics of Thomas Aquinas' theory. The results of the research are mathematical aesthetics by examining the theory of Thomas Aquinas. Mathematical concepts such as repeating patterns 1-2-3-4 and 4-3-2-1, geometric concepts such as parallel lines, reflection, congruence, and rhombus flat shapes.
APLIKASI ALGORITMA FLOYD-WARSHALL DENGAN PENDEKATAN MADM DALAM MENENTUKAN RUTE TERPENDEK PENGANGKUTAN SAMPAH Zulmagfir Buako; Lailany Yahya; Novianita Achmad
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.10979

Abstract

Currently, the problem of environmental hygiene caused by the accumulation of garbage becomes a serious problem for every community. In addressing this problem, an efficient waste transport process is required. This study aims to find the shortest route of garbage transportation in Gorontalo city by using Floyd Warshall Algorithm by finding the smallest weight between each point (Vertex). In this study, the weights used in the Floyd Warshall Iteration Algorithm were Alternative weights obtained by the Multi-Attribute Decision-Making approach (MADM). The criteria for determining weights in MADM use three indicators that affect the efficiency of garbage transportation, namely Distance, time, and congestion. The route used in this study is the dump truck route with 17 garbage transportation points. After obtaining the Alternate weight and iteration using Floyd Warshall algorithm obtained the shortest route with the smallest trajectory weight of 110.845.
PENGARUH MODEL PENEMUAN TERBIMBING TERHADAP HASIL BELAJAR PADA MATERI PRISMA DAN LIMAS DI SMP NEGERI I TALAGA JAYA Sri Lestari Mahmud; Abdul Djabar Mohidin; Nursiya Bito; Siti Zakiyah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.11941

Abstract

This research aims to look at the influence of guided discovery learning models on students' learning outcomes. The type of research used is experimental research. Sampling in this research was conducted by simple random sampling technique. Data collection was carried out using instruments in the form of observation sheets and tests of learning outcomes. The data obtained is then analyzed descriptively and inferentially. The results of the data analysis showed that the students’ learning outcomes taught by the guided discovery model are higher than students’ learning outcomes taught by conventional models, and the guided discovery model was effective in teaching material surface area and volume of upright and pyramid prisms.
PERNERAPAN MODEL PERSAMAAN SIMULTAN DENGAN PENDEKATAN TWO STAGE LEAST SQUARE PADA KASUS INFLASI DAN NILAI TUKAR RUPIAH DI INDONESIA Rahmawati Yusuf; Resmawan Resmawan; Boby Rantow Payu
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.11173

Abstract

Using the regression model, a method that accommodates variables related to each other is called the simultaneous equation method. The study aims to determine the factors affecting inflation and rupiah exchange rate and model simultaneous equations towards the factors affecting inflation and rupiah exchange rate in Indonesia using Two-Stage Least Square. Data used in this study are secondary data obtained from the website of Statistics of Indonesia. Findings on the simultaneous equation model with two-stage least squares reveal that variables that significantly affect inflation are the Indonesia rupiah exchange rate and money supply. At the same time, variables that significantly affect the Indonesian rupiah exchange rate are inflation and money supply. The predictive value using the inflation and rupiah exchange rate equation indicates that the obtained MAPE (Mean Absolute Percentage Error) value does not exceed 50%. In conclusion, the prediction result using the inflation and Indonesia rupiah exchange rate equation is accurate.
Analisis Kemampuan Pemecahan Masalah Matematika Melalui Tugas Proyek pada Materi Bilangan Bulat di SMP Negeri 1 Limboto Isnarianti Sumba; Abdul Djabar Mohidin; Siti Zakiyah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.12952

Abstract

This research is a quantitative descriptive study that aims to describe students' mathematical problem-solving abilities through project assignments on integer material. This research was conducted at SMP Negeri 1 Limboto in the even semester of the 2021/2022 academic year. The subjects in this study were class VII students, totalling 26 students. Data collection was obtained from test results in the form of project assignments and interviews were conducted to add to the information obtained. The results showed that the average achievement for students' abilities in completing project assignments was still moderate, namely 70%. This is indicated by the achievement of indicators understanding the problem by 90%, indicators planning a solution by 72%, indicators solving problems by 62% and indicators re-examining the results obtained by 52%.
Penentuan Harga Beli Opsi Asia Menggunakan Monte Carlo-Antithetic Variate dan Monte Carlo-Control Fahrezal Zubedi; Novianita Achmad; Sri Lestari Mahmud; Rusli Mowuu
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.12055

Abstract

Math is applicable in many fields, including financial computing and discussing options. Options are contracts between two parties. The first part acts as a buyer with non-obligatory rights to buy or sell from the second party, who act as the seller with particular assets of predetermined time and price. This research aims to compare the monte Carlo-Antithetic Variate and monte Carlo-Control Variate in determining the purchase price of the Asian option. This study uses data from the closing price of the daily stock of PT Adhi Karya Tbk from October 1st, 2018 – to November 27th, 2019. The findings revealed varying option prices and different error standards. The Antithetic Variate simulation produces option price Rp. 246,6821 and error standard 0,071495 in 10000000th simulation and the Control Variate simulation produce option price Rp. 183,2139 and error standard 0,09716 in the 5000th simulation.  The result was that the Control Variate was considered better at determining Asian option purchase price because of the smaller option and faster error standard in approaching zero.
Analisis Kemampuan Pemahaman Konsep Matematika Ditinjau Dari Penggunaan Multimedia Game Petualangan Dalam Limas Berbasis Mobile Learning di SMP Negeri 1 Tilango Nadila Nurfariza Tahir; Sumarno Ismail; Franky Alfrits Oroh; Perry Zakaria; Kartin Usman
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.12936

Abstract

This study aims to describe the student’s ability to understand the mathematical concept using adventure game multimedia mobile learning based on the pyramid (PDL) in Grade VIII. This study is qualitative descriptive. The subjects are 40 students of grade VIII which is reduced to 6 students to take the preliminary test of the ability to understand the concept and the interview process seen from the results of the students’ preliminary test. Data collection technique includes preliminary tests, interviews, documentation, and observation. The data analysis applies reduction, data presentation, and conclusion. The results based on interviews conducted with students and teachers show that students’ conceptual abilities vary widely, where some achieve high abilities, medium abilities, and low abilities. It is also seen from the learning process that the use of adventure game multimedia in the pyramid helps to give its vibes to a more interesting learning process.
Efisiensi Pengaturan Jadwal Perkuliahan Menggunakan Pendekatan Pewarnaan Graf Syamsyida Rozi; Niken Rarasati; Rosda Syelly
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.14034

Abstract

The schedule for each course should be arranged such that the course taken by the same student or involving the same lecturer are not scheduled on the same day and time. This is to avoid conflicting schedules for students and lecturers. In the odd semester academic year 2021/2022, there were 23 courses scheduled at the study program of Mathematics, Universitas Jambi. The students in semesters 1 and 5 were divided into 2 classes, respectively, due to a large number of students in that semester. Therefore, the arrangement of the course schedule was getting more complicated. This research aimed to arrange the course schedule so that there is no clash by using the graph coloring approach. This research was classified as case study research and applied the descriptive method. The arrangement of the course schedule began with modeling the problem in the form of a graph and then using the Welch Powell algorithm to color the vertices in the graph. The graph consists of 36 vertices and 215 edges. By applying the Welch-Powell algorithm, the chromatic number obtained was 10, which means there are 10 optimum sessions or 10 minimum sessions of the course schedule in the odd semester in the Mathematics study program Universitas Jambi. Based on this result, the grouping of courses can be obtained that can be scheduled on the same day and at the same time.

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