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All Journal AKSIOMA Jurnal Matematika Sains dan Teknologi Jurnal Matematika dan Sains (JMS)
Aris Alfan
Universitas Billfath
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Education Mathematics Physics Other

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KENDALI OPTIMAL PERTUMBUHAN POPULASI ECENG GONDOK DENGAN IKAN GRASS CRAP DAN PEMANENAN Fitroh Resmi; Aris Alfan; Slamet Ifandi
Jurnal Matematika Sains dan Teknologi Vol. 20 No. 2 (2019)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (737.73 KB) | DOI: 10.33830/jmst.v20i2.204.2019

Abstract

Water hyacinth is a wild aquatic plant that grows quickly. The growth of water hyacinth need to be controled to prevent the flood and not to disturb paddy irrigation channels. Grass carp as herbivorous fish is used as natural predator to reduce the population of water hyacinth. The interaction between water hyacinth and grass carp is modeled using the prey-predator system. In this model there are harvest factors and predation factors using Holling type III. The optimal control problem is applied to minimize the mass of water hyacinth and harvest efforts of water hyacinth and maximize the mass of grass carp. The solution uses the Pontryagin Principle. The result is that the harvesting of water hyacinth and the grass carp can minimize the water hyacinth biomass at the end of time. Eceng gondok merupakan tanaman liar di perairan yang tumbuh dengan cepat. Pertumbuhannya perlu dikendalikan agar tidak menyebabkan banjir dan tidak mengganggu saluran irigasi persawahan. Ikan grass carp sebagai ikan herbivora digunakan sebagai predator alami untuk mengurangi populasi eceng gondok. Hubungan antara eceng gondok dan ikan grass carp dimodelkan dengan menggunakan sistem prey-predator. Pada model ini terdapat faktor pemanenan dan faktor predasi menggunakan Holling tipe III. Masalah kendali optimal diterapkan dengan tujuan untuk meminimumkan massa eceng gondok dan usaha pemanenan eceng gondok serta memaksimumkan massa ikan grass carp. Penyelesaiannya menggunakan Prinsip Pontryagin. Hasilnya dengan adanya usaha pemanenan eceng gondok dan pengadaan ikan grass carp dapat meminimumkan biomassa eceng gondok di waktu akhir.
Efektifitas media Aplimath pada mata kuliah kalkulus I sebagai peningkatan motivasi belajar mahasiswa Pukky Tetralian Bantining Ngastiti; Aris Alfan; Ahmad Khairul Umam
AKSIOMA : Jurnal Matematika dan Pendidikan Matematika Vol 12, No 1 (2021): AKSIOMA: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/aks.v12i1.6979

Abstract

Pada dasawarsa terakhir perkembangan teknologi begitu pesat, salah satunya di bidang smartphone. Teknologi smartphone begitu canggih salah satunya yaitu penggunaan operasi sistem android yang terus berkembang dan terbarukan. Bidang kalkulus adalah cabang ilmu matematika yang mencakup limit, differensial, deret tak terhingga, dan integral. Tujuan dari penulisan ini yaitu menguji efektivitas dari media aplimath berbasis android pada mata kuliah kalkulus I. Aplimath merupakan salah satu alternatif media pembelajaran berbasis teknologi android. Metode dalam penelitian ini menggunakan desain borg and gall dengan 6 langkah yaitu potensi dan masalah, pengumpulan data, desain produk, validasi desain, revisi desain, ujicoba produk. Hasil dari penelitian yaitu rata-rata hasil angket yang diberikan mahasiswa dari berbagai aspek penilaian yaitu sebesar 85%. Sedangkan berdasarkan hasil belajar yaitu terdapat perbedaan hasil belajar antara nilai uts dengan nilai media yaitu sebesar 13,33 dan dengan menggunakan uji-t didapat thitung 2,588 > ttabel 2,365. Dari hasil tersebut dapat disimpulkan bahwa media aplimath berbasis android pada matakulah kalkulus I efektif digunakan sebagai alternatif sumber belajar berbasis teknologi bagi mahasiswa prodi matematika di Universitas Billfath.Kata Kunci: Aplimath, Efektifitas, Kalkulus I
UJI KEOPTIMALAN METODE KSAM UNTUK MENYELESAIKAN SOLUSI AWAL MASALAH TRANSPORTASI Dhurun Mudhi Zayyan; Rihatul Janah; Aris Alfan
Jurnal Matematika dan Sains (JMS) Vol. 1 No. 1 (2021): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v1i1.75

Abstract

Production activities are closely related to business actors or economic actors who must apply economic principles. It is from this principle that the optimization problem arises. This problem can be solved in various ways, one of which is linear programming. The transportation method is one of linear programming. This method is used to adjust the distribution from sources that provide the same product to the destination optimally. The method of transportation is an important component in its operations because it greatly affects the costs incurred in product distribution. The transportation method has two stages of completion, the first is determining the initial solution and the second is determining the optimal solution. KSAM is a new method formulated to solve transportation problems. The KSAM (Karagul-Sahin Approximation Method) method that was recently introduced is said to provide fairly good performance compared to other methods. From the transportation problem that is addressed in this article by comparing several methods, it is found that the KSAM method provides the best solution with a fairly large solution deviation. then this method can be used as a reference to get the optimal solution.
PERAMALAN HASIL PANEN JAGUNG DI KECAMATAN SOLOKURO DENGAN MENGGUNAKAN METODE TREND MOMENT Rihatul Janah; Ahmad Isroil; Aris Alfan; Mohammad Nurul Alamin; Shyndy Sarwinda Mas Ayu
Jurnal Matematika dan Sains (JMS) Vol. 1 No. 2 (2021): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v1i2.102

Abstract

As an agricultural country, Indonesia relies on the agricultural sector in almost all of its territory, including in Solokuro District, Lamongan Regency, East Java. The agricultural sector is the mainstay sector because this sector plays a role in providing food for the community. The plant that is widely cultivated as well as a staple food in Indonesia is corn. Corn is the second food crop after rice, even in some areas growing corn is more profitable than growing rice. In Solokuro Subdistrict itself corn is a superior crop, to find out the amount of harvest in the future, you can use the trend moment method. The trend moment method is a method used for forecasting or prediction. The data used in this study is corn harvest data in Solokuro District in 2017-2019 to predict maize yields in Solokuro District in 2022.
PENENTUAN BREAK EVEN POINT MELALUI REGRESI DAN NEWTON RAPHSON Fitroh Resmi; Aris Alfan; Nihaya Alivia Coraima Dewi
Jurnal Matematika dan Sains (JMS) Vol. 3 No. 1 (2023): Jurnal Matematika dan Sains (JMS)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55273/jms.v3i1.210

Abstract

Determining Break Even Point (BEP) in a production is an important thing to do. BEP analysis is used as a basis for profit planning. By knowing the Break Even Point (BEP), management can determine the amount of production or sales that must be made according to the profit target to be achieved. The research method used is literature review (literature study). Data collection techniques using secondary data taken from the Kaggle site. Data analysis uses descriptive statistics with the help of the python program. In certain cases, the production costs or selling cost is not a linear function. So it is necessary to form a mathematical equation through regression. The model is evaluated using MAE, MSE and R2. Determination of BEP is done by forming the equation of production costs and selling costs which are then solved by the Newton Raphson method. The results of this study are the regression method and Newton raphson can be used as an alternative in determining the BEP for cases that are not linear.
The Fifth Coefficient Approximation of The Inverse Strongly Convex Function Krisna Adilia Daniswara; Aris Alfan; Ahmad Khairul Umam
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 2 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i2.4977.2023

Abstract

This paper discusses the fifth coefficient approximation of the inverse strongly convex function. Strongly convex function is a subclass of convex function. Those functions are included as univalent functions. Using corresponding lemmas, we give sharp limits for the fifth coefficient of the inverse strongly convex function. The limit is sharp if the value of the approximation has the same value as the limit. We verify that the limit of the fifth coefficient of the inverse strongly convex function differs from that of the strongly convex function in some interval but still have the same value in a point. Besides, we also explain that the sharp limit of the fifth inverse coefficient is less than or equal to one.
The Application of Dicrete Wavelet Transform for Digital Image Compression Ahmad Khairul Umam; Pukky Tetralian Bantining Ngastiti; Aris Alfan; Zaqiyatus Shahadah; Amanda Fatma Muamalah
Jurnal Matematika Sains dan Teknologi Vol. 25 No. 1 (2024)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v25i1.3955.2024

Abstract

This article explains Discrete Wavelet Transform (DWT) in image compression. Wavelet transform is a generalization of Fourier transform, consisting of discrete and continuous wavelet transform. DWT has many uses, including image compression, fingerprint recognition, and image denoising. This research aims to know the steps of digital image compression using DWT and compare the original and resulting images. Efforts of DWT in digital image compression go by DWT's process, determining the threshold, sorting the absolute value of the image whether it is minor or more significant (equal to) threshold value, then is processed, Inverse Discrete Wavelet Transform (IDWT). This research explains the Peak Signal-to-Noise Ratio (PSNR), computing time, and compression ratio for three examples: the image of the cameraman, Lena, and a cat. The results determine that the highest PSNR values are wavelet of coiflets 3 for the cameraman, biorthogonal 3.5 for Lena, and coiflets 3 for the cat. The fastest computation times are wavelet of symlets 4 for the cameraman, symlets 4, coiflets 3 for Lena, and Daubechies 4 for the cat. Then, the highest compression ratios are wavelet of symlets 4, biorthogonal 3.5, coiflets 3 for the cameraman, Haar for Lena, and symlets 4, biorthogonal 3.5 for the cat. The results of this research are we get steps of the discrete wavelet transform for digital image compression. Also, we obtain types of wavelets with the highest PSNR values, the fastest computation times, and the highest compression ratios.
Co-Authors Ahmad Isroil Amanda Fatma Muamalah Dhurun Mudhi Zayyan Fitroh Resmi Krisna Adilia Daniswara Mohammad Nurul Alamin Nihaya Alivia Coraima Dewi Pukky Tetralian Bantining Ngastiti Rihatul Janah Shyndy Sarwinda Mas Ayu Slamet Ifandi Zaqiyatus Shahadah