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Jurnal Riset Mahasiswa Matematika
Published by Universitas Islam Negeri Maulana Malik Ibrahim Malang
ISSN : 28081552     EISSN : 28084926     DOI : https://doi.org/10.18860/jrmm
Core Subject : Education,
Mathematics
Jurnal Riset Mahasiswa Matematika (JRMM) publishes current research articles in any area of Mathematics Research such as graph labelings, modeling, statistics, actuaria, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. JRMM is published six times a year, namely in February, April, June, August, October, December JRMM is published by the Association of Indonesian Islamic Religious University Mathematics Lecturers and Department of Mathematics Universitas Islam Negeri Maulana Malik Ibrahim Malang (UIN Malang). All papers will be refereed in the normal manner of mathematical journals to maintain the high standards. JRMM is an open access journal. Full-text access to all papers is available for free. Jurnal Riset Mahasiswa Matematika (JRMM) has been indexed by Google Scholar
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 173 Documents
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DEKOMPOSISI GRAF POHON PISANG Bm,n Alfi Istijap Aji Sailendra; Evawati Alisah; Achmad Nasichuddin
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (329.815 KB) | DOI: 10.18860/jrmm.v2i1.14671

Abstract

A decomposition of graph G is collection of subgraphs 〖{H_i}〗_(i=1)^n from G such that H_i [E_i] for E_i is a subset of E(G) and 〖{E_i}〗_(i=1)^n is a partition of E(G). The purpose of the research was to determine the decomposition of the banana tree graph B_(m,n), for m≥1 and n≥2. The research method used in this research is library research. The steps used to determine the decomposition of the banana tree graph B_(m,n) are as follow: (a) Draw a banana tree graph B_(m,n) and label each edge and vertex, (b) Determine the partition on the edges of the banana tree graph B_(m,n), (c) Induced subgraph of from partitions of the banana tree graph B_(m,n), (d) Determine the decomposition of the banana tree graph B_(m,n), (e) Tabulate a conjecture on the decomposition of the banana tree graph B_(m,n), (f) Construct theorem of the decomposition theorem of of the banana tree graph B_(m,n) and its proof. The result of the reasearch is with m≥1 and n≥2, because banana tree graph B_(m,n) is decomposed by the complete graph 〖mK〗_2-decomposition.
Solusi Numerik Persamaan Gelombang Dua Dimensi Dengan Metode Beda Hingga Skema Eksplisit CTCS Allifia Nur Chasamah; Muhammad Jamhuri; Evawati Alisah
Jurnal Riset Mahasiswa Matematika Vol 1, No 1 (2021): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1033.047 KB) | DOI: 10.18860/jrmm.v1i1.13411

Abstract

Persamaan gelombang dua dimensi merupakan  persamaan diferensial parsial  yang merupakan representasi dari gelombang permukaan yang dihasilkan oleh aliran air.  Tujuan daripada penelitian ini adalah untuk menganalisis solusi numerik persamaan gelombng dua dimensi dengan menggunakan metode beda hingga skema eksplisit CTCS (Center Time Center Space). Ada beberapa langkah untuk menyelesaiakan persamaan ini, diantaranya diskritisasi pada persamaan gelombang dua, diskritisasi terhadap kondisi awal serta kondisi batasnya dimensi dengan metode beda hingga pusat terhadap waktu dan ruang. Langkah selanjutnya adalah menentukan syarat kestabilan dan syarat konsistensi untuki menunjukkan bahwa solusi numerik tersebut mendekati solusi analitik. Setelah diperoleh syarat kestabilan dan konsistensi dari skema yang digunakan maka simulasi dari skema yang digunakan dapat dilakukan. Hasil simulasi menunjukkan bahwa penggunaan metode beda hingga skema eksplisit CTCS pada persaman gelombang dua dimensi stabil dengan syarat tertentu.  Dari syarat  kekonvergenannya skema eksplisit CTCS pada persamaan gelombang dua dimensi diperoleh order errornya . Selanjutnya untuk penelitian  dapat meneliti tentang solusi analitik persamaan gelombang dua dimensi dengan menggunakan kondisi batas Neumann
Analisis Ketahanan Hidup Pada Penderita Kanker Serviks Menggunakan Regresi Cox Proportional Hazard Ummi Hafildah; Ria Dhea Karisma
Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (404.102 KB) | DOI: 10.18860/jrmm.v1i5.14498

Abstract

Survival analysis is a statistical method used to analyze data with time until the occurrence of a certain event which is commonly referred to as "failure". One of the objectives of survival analysis is to determine the effect of predictor variables on survival time. The purpose of this study was to determine the regression model and determine the hazard ratio of each factor that is thought to affect the survival of cervical cancer patients. The results of this study showed that the factors that influence patients with cervical cancer in their survival are stage II and stage III variables (the patient’s stage), complications, and a history of pregnancy (who have children 0-2).
Model Matematika Vibrasi Dawai Dikenai Massa yang Berjalan di Atasnya Miftakul Janah; Ari Kusumastuti
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (579.964 KB) | DOI: 10.18860/jrmm.v1i4.14446

Abstract

This study discusses the formulation of a mathematical model of string vibration when subjected to mass. There are two variables resulting from the formulation of the model, namely the deflection of the string  and the angle of the string . The deflection of the string  and the angle of the string .  are affected by the friction force, tension force, spring force, and gravity. Then the identification of the working potential and kinetic energy is carried out to obtain the Lagrange equation of the deflection and angle of the string. Based on the formulation steps that have been described, the mathematical model obtained is an ordinary differential equation of the order of one to the power of two. Furthermore, the model is calculated numerically by assigning values to the parameters involved. So it is known that with a string mass of 0.005 kg, 0.05 kg, 0.5 kg, a string mass of 0.075 kg, and an object radius of 0.07 m, it is known that the deflection of the string  is greater if the object's mass is greater. While the angle of the string is in a state of equilibrium before being subjected to a mass and experiencing vibration after being subjected to a mass.
Enkripsi dan Dekripsi Pesan Menggunakan Polinomial Galois Field dengan Algoritma Hill Cipher Amelia Vega; Imam Sujarwo; Muhammad Khudzaifah
Jurnal Riset Mahasiswa Matematika Vol 2, No 2 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i2.15150

Abstract

An information is extremely easy to obtain when technology is evolving so fast and it is important to secure the information to avoid irresponsible parties who want to abuse it. Messages that are not safe will harm the owner of the message, therefore a lot of research is related to message security. This study aims to deepen the message security in encoded form using Galois Field polynomials with one of the symmetric encryption algorithms, namely the Hill Cipher algorithm. Encryption is the process of converting a message into a secret code while decryption is the reverse process. The encryption and decryption process in this discussion is carried out by changing the message character into Galois Field polynomial form, then operating calculations based on the Hill Cipher algorithm, and then changing the results of the calculation operations into character form again. Based on the modifications have been made, the encryption and decryption formulas will be multiplied by modulo in polynomials form. In this study, the encryption and decryption keys are in matrix form with elements in it are members of the Galois Field polynomial and the result is a random message of 256 characters in binary bit-8. From this research, we gain insight into the encoding that can be done using polynomials which can be used later in other forms of encoding.
Analisis Dinamik Model Predator-Prey dengan Faktor Kanibalisme Pada Predator Dwi Safitri; Heni Widayani; Usman Pagalay
Jurnal Riset Mahasiswa Matematika Vol 1, No 2 (2021): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1086.944 KB) | DOI: 10.18860/jrmm.v1i2.14019

Abstract

Kajian dinamika populasi predator-prey di suatu ekosistem dengan adanya kanibalisme pada predator dilakukan pada penelitian ini. Ketika ada kanibalisme di tingkat predator dikhawatirkan populasi predator itu akan menurun atau terjadi kepunahan, sehingga populasi prey menjadi tidak terkontrol dan akan terjadi ketidakseimbangan ekosistem. Oleh karena itu, pada penelitian ini dibangunlah model matematika predator-prey dengan faktor kanibalisme pada predator berbentuk sistem persamaan diferensial biasa non linier dengan tiga persamaan. Pada model predator-prey tersebut ditemukan dua titik kesetimbangan yang memiliki kemungkinan stabil yaitu titik kesetimbangan ketika tidak ada prey  dan titik kesetimbangan ketika kedua spesies eksis di ekosistem tersebut . Hasil sensitivitas analisis menunjukkan bahwa sifat kestabilan lokal dari titik  maupun  bergantung pada parameter kanibalisme yakni  dan . Lebih lanjut, untuk titik  telah dibuktikan sifat kestabilan global menggunakan fungsi lyapunov. Hasil simulasi numerik mengilustrasikan hasil analisa yang sudah diperoleh, sehingga ditemukan kemungkinan terjadinya limit cycles yang menandakan adanya bifurkasi hopf.
Implementasi Backpropagation Neural Network pada Prediksi Jumlah Penjualan Toyota Avanza di Indonesia Nur Fatin Mufinnun; Hairur Rahman; Mohammad Nafie Jauhari
Jurnal Riset Mahasiswa Matematika Vol 1, No 6 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (472.057 KB) | DOI: 10.18860/jrmm.v1i6.14594

Abstract

Prediction is a branch of science that is used to predict events that may occur in the future based on past events. One of the developed prediction methods, Backpropagation Neural Network, a method that has a good level of effectiveness. This study aims to determine the model and the accuracy of the model in predicting the total sales of the Toyota Avanza and to find out the results of sales predictions for the next 12 months by analyzing the number of sales in January 2010 to October 2021. The prediction model for the number of Toyota Avanza sales using the Backpropagation Neural Network is 12-13-1, where there are 12 variables in the input layer, 13 variables in the hidden layer and 1 variable in the output layer with a learning rate value of 0.5 and momentum 0. The predictions for the number of Toyota Avanza sales for 12 months are at an average upper limit of 6215 and an average lower limit of 3415 with a MAPE value of 9,39135%, so that the model can be said to be very good. 
Analisis Kepuasan Mahasiswa Terhadap Perkuliahan Online Sri Pujilestari; Sri Harini; Nailul Munah
Jurnal Riset Mahasiswa Matematika Vol 1, No 5 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (362.496 KB) | DOI: 10.18860/jrmm.v1i5.14174

Abstract

This study aims to determine the level of student satisfaction with online lectures during the Covid-19 pandemic which is still ongoing today. Variables measuring student satisfaction with online lectures are limited to aspects of learning including lecture facilities, learning media, and the implementation of online lectures. This research method uses descriptive analysis techniques. Data was collected using a questionnaire, then the data was analyzed using statistical tests to determine the validity and reliability of the instrument, multicollinearity test, and ordinal logistic regression analysis and regression parameter tests at the 95% confidence level. Based on the test results the instrument is declared valid and reliable, and the obtained regression model is feasible to use. The results of the interpretation of the model lead to conclusions, (a) the probability of students who are satisfied with online lectures in the aspect of lecture facilities is 2.21 times compared to students who are not satisfied; (b) the probability of students being satisfied with online lectures in the aspect of learning media is 1.53 times compared to students who are dissatisfied; and (c) the probability of students being satisfied with online lectures in the aspect of lecture implementation is 2.28 times compared to students who are not satisfied.
Perbandingan Tingkat Akurasi Metode Average Based Fuzzy Time Series Markov Chain dan Algoritma Novel Fuzzy Time Series Syavira Habib Al-adawiyah; Evawati Alisah; Abdul Aziz
Jurnal Riset Mahasiswa Matematika Vol 1, No 3 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (491.844 KB) | DOI: 10.18860/jrmm.v1i3.14332

Abstract

Fuzzy time series method can be applied in predicting the situation in food price development data such as rice. The position of rice as a staple food has resulted in this commodity being one of the indicators of economic growth. The importance of suppressing rice prices so that they are stable can be done by forecasting rice prices in Indonesia in the future. The research method used for forecasting is average based fuzzy time series Markov chain and novel algorithms fuzzy time series. Researchers will compare the two methods in the case of rice prices by looking at the level of accuracy that is better. The data used in this study is the average monthly rice price at the wholesale trade level from January 2015 to March 2021 in units of Rp/Kg as much as 75 data. The results of the comparison of the level of accuracy using the value of Mean Absolute Percentage Error (MAPE), obtained the forecast of the average price of rice at the Indonesian wholesale trade level for average based fuzzy time series Markov chain which is 0.36%, while the MAPE value for novel algorithm fuzzy time series is 0.19%. Based on the MAPE results, it can be concluded that the novel algorithm method fuzzy time series produces a better level of accuracy compared to the method average based fuzzy time series Markov chain.
ANALISIS DINAMIK PENYEBARAN HUMAN PAPILLOMAVIRUS DENGAN PENGARUH VAKSINASI DAN SKRINING Miftakhul Rosidah; Heni Widayani; Usman Pagalay
Jurnal Riset Mahasiswa Matematika Vol 2, No 1 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (484.417 KB) | DOI: 10.18860/jrmm.v2i1.14712

Abstract

Cervical cancer caused by Human Papillomavirus (HPV) is a serious health problem in Indonesia. The spread of HPV is still an unresolved problem even though a vaccine has been found and screening has been carried out in health facilities in Indonesia. In this study, the dynamic analysis of the HPV spread model was studied by categorizing the population into 6 sub-populations, namely the susceptible individual population (S(t)),  the vaccinated individual population (V(t)), the infected individual population who were not aware 〖(I〗_u (t)), population of infected and screened individuals 〖(I〗_s (t)), population of individuals exposed to cervical cancer (C(t)), and population of cured individuals (R(t)). The model describes the dynamic rate of HPV spread which has two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. The results of this study indicate that the disease-free equilibrium point is unstable, meaning that there is still a possibility that infection will occur in the population. The numerical simulation illustrates that the percentage of individuals who are vaccinated will reduce the increase in the number of unconscious infected individuals and individuals with cervical cancer. Increasing the screening rate in the population will also reduce the number of unconsciously infected individuals and individuals with cervical cancer.

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