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Journal of Mathematics UNP
Published by Universitas Negeri Padang
ISSN : 23551658     EISSN : 28073460     DOI : http://dx.doi.org/10.24036/unpjomath.v7i3.12564
Core Subject : Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics
Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential Equations, Graph and/or Mixed Mathematics Applications: consists of publication in Application of Differential Equations, Mathematics Modelling, Mathematics Physics, Mathematics Biology, Financial Mathematics, Application of Graph and Combinatorics, Optimal Control, Operation Research, and/ or Mixed Statistics: consists of publication on Development and/ or Application of statistics in various aspects.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 404 Documents
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Analisis Perhitungan Aktuaria Dana Pensiun Menggunakan Metode Projected Unit Credit Putriyana Nursal; Devni Prima Sari
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.12966

Abstract

The retired fund program is a program created by the government to ensure the needs and welfare of workers in old age, one of which is government employees. The problem of retired government employees in Indonesia is one of the burdens for the government, this is because retired funds are carried out using a pay as you go system. Retired fund management can also be managed using a fully funded system, where the implementation of a fully funded system can be carried out using the Projected Unit Credit Constant Dollar and Constant Percent methods. The calculation results show that the normal contribution using the Constant Percent method has increased significantly before entering retirement age compared to the Constant Dollar method. The amount of actuarial obligation using the Constant Dollar method is greater than using the Constant Percent method. Retired benefits obtained by retirees using the Constant Dollar method are greater than the Constant Percent method.
Preferensi Mahasiswa UNP Terhadap Tempat Kos di kec. Padang Utara pada Masa Pandemi (Covid-19) dengan Menggunakan Analisis Konjoin Lidia Bartasari; Arnellis Arnellis
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.12730

Abstract

Boarding house is primary needs for collage students who migrate. Each student has a different of preference in determining a place to stay or boarding house. This study aims to determine the combination of attribute levels from the level of preference of Padang State University students in choosing boarding houses in North Padang District.  The attributes used in this study are the distance to the boarding house, the rental price, and the boarding facilities The data analysis technique used is conjoint analysis.  The results showed that the combination of attribute levels that students preferred most in choosing a boarding house was a boarding distance of  km, the price range of boarding from IDR  to IDR and facilities of boarding prioritizing is Wi-Fi. Meanwhile, the combination of attribute levels that students dislike choosing a boarding house are boarding distances  km, the prices of boarding  IDR, and no facilities. The most important attribute for Padang State University students in choosing a boarding house is the boarding facility attribute because it has the highest relative importance value of 39.4%.
Analisis Regresi Logistik Biner pada Faktor-faktor yang Mempengaruhi Kesediaan Masyarakat Nagari Paninjauan untuk Divaksinasi Covid-19 Febrianti Febrianti; Helma Helma
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13376

Abstract

The Covid-19 vaccination rate in Nagari Paninjauan, Agam Regency is still relatively low. Some of the factors that cause it include congenital diseases, fear of side effects, effectiveness of vaccines, and halalness of vaccines. The purpose of this study was to identify the factors that influence people's willingness to be vaccinated. The population in this study amounted to 500 respondents. The sample in this study amounted to 83 respondents obtained using the Cluster Random Sampling method. The community's willingness to be vaccinated against covid-19 as a variable (Y) and science (X_1), worries(X_2 ), hoaxes (X_3), application of health protocols (X_4), profession (X_5), coercion for work (X_6), age (X_7),  gender (X_8) as the independent variable in the model fit. The results showed that the binary logistic regression model which is π(x)=(exp (-17,171+2,760x_1-2,813x_3+3,778x_7+3,546x_8 ))/(1+exp⁡((-17,171+2,760x_1-2,813x_3+3,778x_7+3,546x_8 )), where science, hoaxes, age, and gender have a significant effect on people's willingness to be vaccinated against covid-19..
Interpretasi Kombinatorial Kongruensi Fungsi Partisi Biner Modulo 2 Agung Aldhi Prastya; Uha Isnaini
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.14255

Abstract

A partition of a positive integer n is a non-increasing sequence of finite positive integers such that the sum is equal to n. One thing that is studied by some researchers in integer partition is binary partition. A binary partition of a positive integer n is a non-increasing sequence of finite positive integers that are powers of 2 and sum to n. The number of binary partitions of n is denoted by b(n) and is called the binary partition function. In this study, we provides a combinatorial interpretation of a congruence of binary partition functions modulo 2. The interpretation involves dividing all binary partitions of n into two sets with the same cardinality using a bijective function that maps binary partitions satisfying certain conditions to binary partitions satisfying other conditions.
Analisis Profil dan Penerapannya Pada Suatu Telaah Produksi Kapulaga di Sumatera Barat Zainuriadi Zainuriadi; Helma Helma
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.12882

Abstract

Cardamom is one of the potential commodities in the international market. Cardamom is a valuable spice plant that can be used in various ways, where the price of dried cardamom is among Rp.90,000 to Rp.110,000 per kilogram. According to horticultural fixed figures, the harvested area of cardamom increased to 857,190 hectares in 2000-2006 and then decreased to 541,290 hectares from 2007-2010.Therefore, a comparison of productive land area with the amount of cardamom production in West Sumatra is needed using profile analysis. The profile analysis compared the average land area values of cardamom production and production using parallel tests, squeezed tests and level tests. The results obtained are the average area of productive land and the amount of production in the districts of Padang Pariaman, Agam, Lima Puluh Kota, Pasaman, West Pasaman, Padang City, Padang Panjang, Bukit Tinggi and Payakumbuh aligned, squeezed and level, so it can be said that the use of productive land in the area is optimal.
Metode Iterasi Prediktor Korektor Jarratt Householder Untuk Penentuan Akar Persamaan Non Linier Yoga Aprila; Muhammad Subhan
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13421

Abstract

Determining roots of non-linear equation are often problem in mathematics and engineering. In general, these non-linear equations will appear in  complex form that make difficult to solve analytically, so assistance of numerical methods is needed to determining the roots. One of the numerical methods that can be used including Newton-Raphson’s Method,  Jarratt’s Method, and Householder’s Method. However, the drawback of these methods are their low order of convergence. Predictor Corrector Jarratt-Householder Iterative Method is a method that arises due to the shortcomings of these methods. The purpose of this research is to study how the process of construction of Predictor Corrector Jarratt-Householder Iterative Method , making algorithm, and finding the order of convergence. The numerical simulation test results with several functions show that Predictor Corrector Jarratt-Householder Iterative Method can finds roots faster than Newton-Raphson’s Method, Jarratt's Method, and Householder's Method.
Penerapan Metode ASM yang diperbaiki untuk Optimasi Biaya Distribusi pada Masalah Transportasi Tak Seimbang (Studi Kasus : PT. Pupuk Iskandar Muda) Tesa Nofri Handayani; Defri Ahmad
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.12694

Abstract

Transportation problems is a problem of distributing goods from several sources (supply) to several destinations (demand) with the aim of minimizing distributing costs. The purpose of this study was to determine the optimum cost and optimum allocation in the distribution of subsidized fertilizers at PT. Pupuk Iskandar Muda West Sumatra. This type of research is a type of applied research. The method used in this research is the Revised Version of ASM method which is one of the transportation methods to solve the unbalanced transportation problem with fewer iterations. Base on the result of this study, using the Revised Version of ASM Method, obtained optimum allocation and transportation costs of  IDR 711.072.000. Previously, PT. Pupuk Iskandar Muda spent transportation costs of IDR 913.007.000, so the company experienced a 22.12% reduction in costs.
Cadangan Premi Asuransi Jiwa Berjangka dan Asuransi Jiwa Dwiguna Menggunakan Metode Premium Sufficiency Gusvira Widuri; Devni Prima Sari
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13019

Abstract

Life insurance is the payment of money given from the death of insured to the heirs according to the provisions of the polis. The are four types of life insurance, namely whole life insurance, term life insurance, and endowment life insurance. The amount of compensation obtained depends on the amount of premium paid. The benefit of paying premiums is as preparation for the payment of the sum assured. The company needs to prepare a reserve fund called a premium reserve which is needed to cover claims of insurance participants that can occur at any time. There are several ways to calculate premium reserves, one of which can be used is the premium sufficiency method. Finding out how to calculate premium reserves using the premium sufficiency approach is the goal of this study. The calculation of reserves using the premium sufficiency method uses a gross premium which can provide a clear indication of the total cost required and the amount of reserves that the insurance company must provide. 
Model Matematika Dinamika Kemiskinan Dengan Pengaruh Konsumsi Alkohol isra miati; Muhammad Subhan
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.13440

Abstract

The problem of poverty is a major development challenge at the global level. Many strategies are implemented to overcome this problem of poverty. However, in overcoming this problem a common problem emerged among poor families, namely related to alcohol consumption. As a result of consuming excessive alcohol will make individuals become alcohol dependent and alcoholics. The aim of this research is to be able to see a mathematical model and the analysis obtained. The method used in this research is descriptive method. Based on the analysis that has been done, one free fixed point is obtained. Next, the stability of the fixed point will be determined, which shows that the free fixed point is stable if γδ+γμ+μσ+μ^2+μ_1 σ+μ_1 δ+μ_1 μ>βσ+βδ+βμ. The simulation results for the free fixed point show that at a certain time the problem will disappear if the rate of individuals from the poor group who are not addicted to alcohol to poor alcohol addicts (β) is reduced and the rate of individuals in the poor group addicted to alcohol in rehabilitation (γ) is increased.
Residu b_{4,6}(n) terhadap modulo 2 dan 3 Fadhlan Zhaahiran; Uha Isnaini
Journal of Mathematics UNP Vol 8, No 1 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i1.14329

Abstract

Integer partition is a branch of number theory that is still developing today. A partition of a positive integer n is a way to express   as a sum of positive integers without counting the order. Let   denote the number of partitions of  . We discover arithmetic properties of   which is the number of partitions of an integer n where the parts are not multiple by 4 or 6.

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