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Journal of Mathematics UNP

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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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Matriks Leslie dan Aplikasinya pada Pemodelan Jumlah Populasi Perempuan di Sumatera Barat Mayang Sugara; Arnellis Arnellis
Journal of Mathematics UNP Vol 6, No 4 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

The Leslie matrix is a demographic method for calculating the number and growth rate of a population. This method was applied to determine the female population in West Sumatera. The growth of the female population in West Sumatera can affect the population because it has the nature to breed. Based on the Central Statistics Agency for West Sumatera in 2020, it was recorded the population of West Sumatera consisted of 5,534,472 people. This data has increased compared to 2010 amounting to 687,563 people. This study aims to prove the theorem of the characteristics of the Leslie matrix and application the number and rate of the female population in West Sumatera on next two years. This research is an applied research with secondary data obtained through the website of the Central Statistics Agency (BPS) and the West Sumatera Health Service. The research was conducted by proving the characteristics of the Leslie matrix and its use with a matrix size of "16×16" and determining the eigenvalues of matrix. Based on research, it was found that the eigenvalue obtained wan "<1" so the projection for the next two years decreased from the previous years.

Penerapan Algoritma Rivest Shamir Adleman (RSA) untuk File Citra Menggunakan Visual Basic Yessy Nazir; Arnellis Arnellis; Meira Parma Dewi
Journal of Mathematics UNP Vol 4, No 4 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Most images have important information or a secret message. Secret message can provoke onset of opportunity the existence of threats to change the message. The messages of the image can be done by manipulating or piracy on the image. The results of image manipulation can change the meaning the image. Such as threats can be avoided by providing a safeguard against the image. Application of Rivest Shamir Adleman (RSA) Algorithm for Image Files is one way to secure an image of piracy as well as the manipulation of images. This article discussed the application of the RSA algorithm for image files. This method can hide the image using an early form of the public key and return it to the initial form with private key. The whole process is done by using Visual Basic 6.0. On the various experiments conducted the results of his work from the encryption produces 13 imagery similar to the image of the beginning of 15 sample images. Errors may caused by the selection of keywords which is less precise. Keywords – A Safety Of Image File, The RSA Algorithm, Encryption, Descryption

Bentuk Model Nonlinear untuk Portofolio Optimal dan Penyelesaiannya Menggunakan Metode Separable Programming Uswati Hasnah; Suherman Suherman
Journal of Mathematics UNP Vol 3, No 2 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Investment is a business that is carried out in the form of placing funds in order to obtain profits in the future. When investing, an investor always expects maximum return with minimal risk. In other words, investors need to form an optimal portfolio. This is related to optimization theory. For this reason, an optimal nonlinear model portfolio will be formed, along with the solution, using the Separable Programming method. The steps taken are to form a nonlinear model for optimal portfolios, then apply the model to investment for stock in the Bank Rakyat Indonesia (BBRI) and Bank Central Asia (BBCA), then complete the model using Separable Programming. Based on the results of the study, the optimal portfolio nonlinear model is obtained, namely the total expected return minus the portfolio risk. Completion of the model using Separable Programming results in a comparison of the proportion of funds that will be invested in BBRI and BBCA stocks

Karakteristik Kelulusan Tepat Waktu Mahasiswa FMIPA UNP dengan Menggunakan Metode Classification and Regression Trees Lilis Sulistiawati; Nonong Amalita
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — This reaserch discussed about classification of timely graduation of college students. There are still a lot of students of Mathemathics and Natural Science Faculty of Universitas Negeri Padang who was overdue in Finishing their studies. This can affect the decline in study program accreditation or even reduce the university’s image. Therefore, this reaserch aims to determine the characteristic of students who graduate on time and who do not graduate on time based on variables of gender, school origin, scholarship, college entrance pathway, Grade Point Average (GPA), father’ occupation and mother’s occupation by using the Classification and regression Trees (CART) method. The population in this reaserch is the entire student of Mathemathics and Natural Science Faculty of Universitas Negeri Padang who graduated in 2018. The characteristics of college students who graduate on time is students who have a 3,51 – 4,00 GPA with a percentage of 75,2% and student who have a 2,00 – 3,50 GPA, received scholarship and came through the SBMPTN with a percentage 83,3%.Keywords — Characteristic of Graduation, Classification and Regression Trees (CART), Optimum Tree.

Model Mangsa Pemangsa dengan Pengaruh Musim yudi Arpa; Muhammad Subhan; Riry Sriningsih
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract- Effect of season is one of the factors that need to be noted in the predation. In this study, used the four seasons, summer, winter, spring, and autumn, where the amount of predation different every season. The study began by establishing a mathematical model of predation to the effect of the season. In this model, the population is divided into two, prey populations and predator populations. With useful analysis model using perturbation theory note that the effect of the season had a significant effect on the growth patterns of prey and predator populations, where at any given time pattern of prey and predator population Growth Is changing. Keyword :Predator-Prey, Seasonal effect, Mathematical models, Perturbation theory.

Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia (IPM) Provinsi Sumatera Barat dengan Menggunakan Analisis Regresi Data Panel Silvia Fransiska; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstrak— The Human Development Index (HDI) is a parameter that functions to assess the success of the quality of human life. The increase in HDI in West Sumatra Province was not accompanied by an equal distribution of HDI in each Regency / City. The factors used in the study are poverty, life expectancy (AHH), average school length (RLS), long school expectancy (HLS), per capita expenditure and economic growth. The research was conducted to see what factors influenced HDI in West Sumatra Province from 2012 to 2018, in which districts / cities were divided into three regional groups based on regional profiles, regional potential and average regional income. The results showed that AHH, RLS, HLS and per capita expenditure were factors that influenced HDI for group I regions. Poverty, HLS and expenditure per capita were factors that influenced the HDI of group II regions. Keywords: HDI, Panel Data Regression Analysis, Fixed Effect Model (FEM).

Penggunaan Metode Inverse Regression dalam Memprediksi Jumlah Ternak Puyuh Berdasarkan Keuntungan Hasil Produksi Peternakan Laura Miftahul Hayati; Suherman Suherman; Helma Helma
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract - Puyuh is a kind of livestock which is popularly known as one of some animal protein source. The farmer should be able to formulate a right way to gain profit from the production which is proper with the need. Thus, it is important to make a calculation to predict the number of the livestock which have to be farmed according to profit of the production by using Inverse Regression classical prediction method that it can be predicted the value of gained from response variable at the prediction model. This research is aimed to determine the model and interval of prediction to predict the number of puyuh which have to be farmed according to profit of the production. From the result of the Inverse Regression classical prediction method and interval of the prediction which is got can be interpreted that the quantity of production number which is needed depends on profit of the production and average of number of puyuh farming production.

Peramalan Jumlah Produksi Kerupuk Kamang Berdasarkan Keuntungan Hasil Produksi Menggunakan Analisis Regresi Invers dengan Metode Klasik yulistia rahmadani; Helma Helma
Journal of Mathematics UNP Vol 6, No 3 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

The limitation of kamang cracker businessmenin marketing their products is the main factor that makes businessmenunable to maximizethe profits of theirproduction. To maximize profits, a method is needed to predict the number of kamang crackers that must be produced based on the profits obtained. In this case, regression analysis with classical method can be used wherethe value of x0 can be predicted based on the dependent variable y0. The purpose of this study is to create a model and determine the prediction interval from forecasting the numberofkamang cracker production based on the profit obtained from the production. The data used are primary data obtained from 25 business houses inKecamatanKamang Magek . From the prediction results obtained, it can be interpretationthe number of kamangcrackers that must be produced

Peramalan Jumlah Konsumsi Energi Listrik di PT PLN (Persero) Rayon Bukittinggi Menggunakan Metode Arima Ginna Melinda; Minora Longgom Nasution; Helma Helma
Journal of Mathematics UNP Vol 4, No 2 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstrak –As a provider of electricity revenues of PLN Rayon Bukittinggi can decline. This is due to an imbalance between electric energy produced by the requested consumer. To increase the income of PLN Rayon Bukittinggi by predicting the amount of electrical energy needs far before the electrical energy used by consumers. One method of divination used i.e methods ARIMA. Formulation of the problem in this research is "how forecasting the amount of electrical energy consumption for PT PLN (Persero) Rayon Bukittinggi from June 2016until May 2017 using ARIMA". The results obtained in this study was getting models ARIMA (1,1,1)(0,1,1)12 as a suitable model, with a form ofmodelYt =Yt-1 -0,4629Yt-1 +0,4629Yt-2 +Yt-12 -Yt-13 +0,4629Yt-13 -0,4629Yt-14 + et - 0,9263et-1 - 0,7499 et-12 +0,6946 et-13.Keywords– Bukittinggi,Electric, Forecasting, ARIMA

Analisis Stabilitas dan Kontrol Optimal Model Matematika Kecanduan Game Online putri karimah; Muhammad Subhan
Journal of Mathematics UNP Vol 7, No 3 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

The purpose of this study is to see how the analysis of stability and optimal control of the mathematical model of online game addiction so that the problem of addiction to online games can be resolved in the future. The author conducted a stability analysis of the model equilibrium point where there are two equilibrium points and also obtained the basic reproduction number R_0=(〖(k〗_2+μ)k_1 β+〖(1-k〗_1)(δ+μ)α+〖(1-k〗_1)β(1-γ)k_2)/(〖(k〗_2+μ)(δ+μ) ). By using Pontryagin's maximum principle, optimal control of the control variables is obtained, namely 〖k_1〗^*=min{1,maks(0,1/c_1 (λ_2-λ_3 )S((αI+βP)/N))} dan 〖k_2〗^*=min{1,maks(0,1/c_2 ((λ_2-λ_3 )I+〖(λ〗_3-λ_4)γI))}.The purpose of this study is to see how the analysis of stability and optimal control of the mathematical model of online game addiction so that the problem of addiction to online games can be resolved in the future. The author conducted a stability analysis of the model equilibrium point where there are two equilibrium points and also obtained the basic reproduction number . By using Pontryagin's maximum principle, optimal control of the control variables is obtained, namely dan.

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Contact Name
Defri Ahmad

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defri_math@fmipa.unp.ac.id

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+6281374333545

Journal Mail Official
defri_math@fmipa.unp.ac.id

Editorial Address
Jl. Prof. dr. Hamka Air Tawar Barat Padang

Location
Kota padang,

Sumatera barat

INDONESIA