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Desimal: Jurnal Matematika
Published by Universitas Islam Negeri Raden Intan Lampung
ISSN : 26139073     EISSN : 26139081     DOI : -
Core Subject : Education, Social,
Education Mathematics Social Sciences
Desimal: Jurnal Matematika, particularly focuses on the main issues in the development of the sciences of mathematics education, mathematics education, and applied mathematics. Desimal: Jurnal Matematika published three times a year, the period from January to April, May to Augustus, and September to December. This publication is available online via open access.
Arjuna Subject : -
Articles 330 Documents
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Applications of the homotopy perturbation method for some linear and non-linear partial differential equations Rahman, Md. Mizanur; Murshed, Md. Masum; Akhter, Nasima
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.17527

Abstract

In this study, some linear PDEs and nonlinear PDEs are investigated using the homotopy perturbation method (HPM). The primary objective of this research is to employ the HPM as a tool for investigating a range of PDEs and extracting their analytical solutions. To clarify the practicality and efficacy of this method, we present illustrative examples of linear PDEs encompassing the classical heat, wave, and Laplace equations. Subsequently, a comparative analysis is performed, contrasting the outcomes derived from the HPM with established accurate solutions. Through this comparative approach, we aim to provide a comprehensive understanding of the HPM's applicability, robustness, and precision in solving a spectrum of PDEs. Our study contributes to the broader exploration of innovative mathematical techniques for tackling complex PDEs, while also shedding light on the potential advantages and limitations of the homotopy perturbation method in practical applications.
A review of some properties of persistent homology Ullah, Md. Safik; Mou, Mst. Sima Akhter; Shiraj, Md. Morshed Bin; Rahman, Md. Mizanur; Murshed, Md. Masum; Akhter, Nasima
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.17812

Abstract

Every day, enormous complex geometric data are accumulating rapidly, and qualitative analysis is needed, which cannot be done properly without studying the shapes of those data. Persistent homology describes the homology of data sets of arbitrary size, producing state-of-the art results in data analysis across a significant number of fields and sparking a rigorous study of persistence in homology theory. In this study, persistent homology has been demonstrated as a homology theory by satisfying the Eilenberg-Steenrod axioms. A brief background on persistent homology groups has been written to understand their construction. Then other definitions of persistent homology based on functors and graded modules have also been reviewed. The Mayer-Vietoris-Vietorisfor persistent homology has been derived as a property of persistent homology. Subsequently, a long, exact sequence for persistent homology has been constructed. Furthermore, the stability of persistent homology has been examined carefully. Finally, the Diamond principle of persistent homology has been explained briefly. This study can be used to investigate new properties of persistent homology, among other benefits.
Intuitionistic regular subspaces in intuitionistic topological spaces Haque, Md. dalim; Akhter, Nasima; Murshed, Md. Masum
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.17817

Abstract

This paper explores the concept of intuitionistic topological spaces, delving into their definitions and essential properties. It also examines intuitionistic topological subspaces, providing insights into their characteristics. Additionally, the paper investigates intuitionistic regular spaces and demonstrates their hereditary nature, specifically focusing on  and . To illustrate these concepts in practical terms, the paper presents two real-world examples of intuitionistic sets. Through a comprehensive analysis of intuitionistic topological spaces and their subsets, the study sheds light on the inheritability of regularity in these spaces. Furthermore, the work emphasizes the significance of intuitionistic topological spaces within the realm of mathematical research, showcasing their applicability through concrete instances of intuitionistic sets.
Application of google sites assisted problem based learning model to junior high school students' mathematical problem solving ability Jusra, Hella; Nuranggraeni, Dita
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.18073

Abstract

Students have the ability to solve difficulties that are perceived as inadequate; efforts are required to continue to enhance them. There is an idea that the main goal of learning mathematics is to produce students who can solve problems competently. Thus, the purpose of this study is to see if there is an effect of employing a problem-based learning paradigm aided by Google Sites on the mathematical problem-solving abilities of junior high school students. A quantitative experiment with a quasi-experimental design was employed as the research method. The sample approach used is non-probability sampling of the purposive sampling variety. The instruments used have been tested for validity and reliability. The data analysis technique uses prerequisite analysis tests, namely normality and homogeneity tests. Initial hypothesis testing was carried out using the Mann-Whitney U Test. The results of the study show that problem-based learning with Google Sites has an impact on the mathematical problem-solving abilities of junior high school students.
Using learning models problem based learning to improve students' mathematical critical thinking skills zulkarnain, Mhd azmi; Syaiful, Syaiful; Suratno, Suratno
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.18087

Abstract

The purpose of this study is to describe how the Problem Based Learning (PBL) learning model improves students' mathematical critical thinking skills on Pythagorean theorem material. A quasi-experimental design was used with a non-equivalent pre-test and post-test control group design. The researchers collected data on critical thinking skills using a descriptive test instrument. The data were analyzed using ANOVA with a significance level of 0.05. The result of data analysis shows that the critical thinking skills of students who learn with the PBL model are better compared to those of students who learn conventionally, and learning to use PBL has similarities to the effectiveness of improving students' critical thinking skills in low, medium, and high level subgroups.
Meta-analysis: The effect of means ends analysis learning model on students’ mathematical problem-solving ability Khoiriyah, Himatun; siregar, Machrani Adi Putri
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.18137

Abstract

This study aimed to determine the effect of using the MEA learning model on improving students' mathematical problem-solving abilities. The MEA learning model is a model that teachers can use to improve students' problem-solving abilities. This research is meta-analytic, namely by collecting data from previous researchers and then finding the effect size of all the data that has been obtained. Many of the data points found that match this research have met the criteria when searched using Google Scholar with the specified keywords. This research analysis tool uses SPSS software version 29.0 and uses the Cohen formula in data analysis. The finding of the effect size of the entire data is 1.431, which is categorized as having a considerable influence. Based on moderator variable analysis, the number of samples with  showed a larger effect size than . Furthermore, based on the level of education of junior high school students, it has an effect size that is categorized as having a large influence. This meta-analysis study shows that using the MEA learning model affects students' mathematical problem-solving abilities.
The effect of problem-based learning model on mathematical communication ability of junior high school students on the material of flat-sided space building Haryanza, Ajeng Sucitra; Pradipta, Trisna Roy
Desimal: Jurnal Matematika Vol. 6 No. 2 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i2.18297

Abstract

This study was influenced by the low mathematical communication of students due to the learning system that still uses the traditional system. The application of the problem-based learning (PBL) model is very important. This research is based on a quantitative approach using a quasi-experimental type with a planning framework of a non-equivalent control group design and a post-test only. The population of this study was VIII-grade students at SMPIT AT-Taufiq in the 2022–2023 school year. The sample consisted of 26 students who received treatment (experimental class) and 25 students who did not receive treatment (control class). The information storage strategy is carried out using a written mathematical communication ability test tool of 7 questions with 3 indicators. The Mann-Whitney U test was used for hypothesis testing, and data analysis strategy was used to determine the effect of the problem-based learning (PBL) model on communication skills using effect size. This study resulted in a significance value of 0.000 <0.05, with 87% in the high category. Students who received the problem-based learning (PBL) treatment had a mean score of 88 compared to 75 for students who did not receive the treatment. In this study, we found that problem-based learning (PBL) for materials has an impact on the competence of the problem-based learning (PBL) model on students' mathematical communication skills.
Improving of learning outcomes in greatest common divisor and lowest common multiple mater by developed safari numbered model Safari, Ibnu Wahid; Darwis, Muhammad; Kurnia, Adi; Basuki, Rahmat
Desimal: Jurnal Matematika Vol. 6 No. 1 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i1.18315

Abstract

The purpose of this study was to determine the improvement in learning outcomes of the Greatest Common Divisor (GCD) and Lowest Common Multiple (LCM) by developing the Safari Numbered Model (SNM). Further, the activeness of students was also measured. The method used in this study was a quasi-experimental. Data collection was carried out using a test instrument to obtain students' mathematics learning outcomes and a questionnaire to measure the activeness of the students. Data analysis is carried out using the Kolmogorov-Smirnov (KS) test and a two-way ANOVA statistical test. Based on the results of the research, it can be concluded that the implementation of SNM can improve the learning outcomes in GCD and LCM. But the student’s activeness does not affect learning outcomes because the student has been active since the beginning of the lesson.
Graph coloring for determining courier frequency Setiawan, Tabah Heri; Beltsazar, Ferdinand; Aden, Aden; Gunawan, Gani; Zarista, Ramzil Huda
Desimal: Jurnal Matematika Vol. 6 No. 3 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i3.18358

Abstract

The exponential growth of online transactions in Indonesia has intensified the competition among courier service providers to ensure efficient goods delivery, prompting the need for exceptional performance. However, this surge has also brought forth various challenges, including imbalanced courier allocation, intricate delivery routes, and sprawling coverage areas, resulting in delays and extended working hours for couriers. This research, conducted in Jakarta, centers on a logistics and courier service company grappling with a critical courier shortage, leading to overburdened personnel and extended work hours. To address this issue, we employed graph coloring, rooted in graph theory, as a novel approach to determine the ideal number of couriers based on the route and delivery area. Through graph coloring, delivery routes, and areas can be optimized so that each courier has the same average route length and area and does not exceed the threshold limit set by the company. The number of delivery routes and areas generated from graph coloring shows the number of couriers required for the company. The results of this research obtained 27 routes that show the need for the ideal courier frequency so that the delivery of goods can be on time without extending the courier's working hours.
Implementation of singular spectrum analysis in the forecasting of seawater wave height Utami, Wika Dianita; Agustina, Ade Candra
Desimal: Jurnal Matematika Vol. 6 No. 3 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i3.18382

Abstract

Indonesia is renowned as a maritime nation, positioned amidst the Pacific Ocean and the Indian Ocean. This strategic location grants Indonesia the distinct advantage of serving as a global crossroads for maritime traffic, particularly with regards to trade and waterborne transportation. Among Indonesia's bustling ports, Tanjung Priok Port stands out as one of the busiest. In this context, the measurement of seawater wave height assumes a pivotal role in shaping the dynamics of transportation and commercial activities at Tanjung Priok Port. Hence, the availability of predictive insights into forthcoming seawater wave height assumes paramount significance in proactively addressing potential calamities and orchestrating maritime endeavors more efficaciously. This study aims to apply the Singular Spectrum Analysis (SSA) technique to forecast the wave height of seawater at Tanjung Priok Port. The dataset employed encompasses the daily seawater wave height observations recorded at Tanjung Priok Harbor during the timeframe from January 2022 to May 2023. The findings of this research unveil a parameter value of L = 98, a Grouping Effect (r) of 13, and a Mean Absolute Percentage Error (MAPE) value of 10.01%. This MAPE value signifies that the forecasting yielded by the Singular Spectrum Analysis (SSA) methodology exhibits a satisfactory level of accuracy in prognosticating future seawater wave heights at Tanjung Priok Port.

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