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Jurnal Fourier

FOURIER
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Published by Universitas Islam Negeri Sunan Kalijaga Yogyakarta

ISSN : - EISSN : - DOI : -

Core Subject : Economy, Science, Education,

Computer Science & IT Economics, Econometrics & Finance Education Mathematics

FOURIER adalah Jurnal Ilmiah bidang yang memadukan dan mengembangkan ilmu Matematika dan pembelajarannya yang diintegrasikan dan interkoneksikan dengan nilai-nilai keislaman terbit sejak tahun 2012 dengan frekuensi terbit 2 kali dalam setahun yang dengan bahasa utama (Bahasa Indonesia dan Bahasa Inggris) yang proses reviewernya sesuai dengan disiplin ilmunya (Analisis, Aljabar, Matematika Terapan, Statistika, dan Pendidikan Matematika).

Arjuna Subject : -

Articles 188 Documents

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Pembentukan Karakter Peserta Didik Melalui Pembelajaran Matematika Suparni Suparni
Jurnal Fourier Vol. 1 No. 1 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Character building not only as an issue of education development, but also as a process of citizen moral building. Character building as an education focus in all of education level from elementary school into university spend a high attention. Mathematics education canâ€™t release from mathematics. So, If we want to build the student character, we must be use the philosophies values of mathematics education by expression the characteristic of mathematics as the object is abstract, the symbol is no meaning, agreement reached and deductive axiomatic thinking, and non contradiction. There are many character value in the mathematics instruction that related with the characteristic of mathematics that can be integrated with Al Qurâ€™an that we hope can support national education purposes, as agreement reached, consistent, deduction and whole. The student character can be build by mathematics instruction as religious, truth, tolerance, discipline, creative, democratic, sense to know, nationality, and communicative.

Keteramatan Sistem Deskriptor Kontinu Muhammad Wakhid Musthofa; Ari Suparwanto
Jurnal Fourier Vol. 1 No. 1 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

In this paper the observability of continuous descriptor system of the form Ex(t)= Ax(t) Bu(t), x(0)=x0 will be studied, where E,A, and B are constant matrices that may be singular and u(t) is piecewise continuous function which is differentiated (m-1) times, where m is the degree of nilpotency system. Two definitions about observability of descriptor systems along with their characterizations given by Dai and Yip will be both discussed, then further the relationship and comparison between these characterizations will be presented.

Pembelajaran Matematika dengan ICT Sebagai Sarana Pengembangan Kecerdasan Emosional Siswa Menuju Pembangunan Karakter Bangsa Ibrahim Ibrahim
Jurnal Fourier Vol. 1 No. 2 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Nowadays ICT is rising rapidly, although in fact the effort of mathematics teaching quality is still concerning in cognitive aspect while forgetting non-cognitive aspect. The neglect of affective aspect as well emotional quotient in mathematics teaching contributes to social situation that hamper national character development. So, the development of ICT must be preferred as an alternative for mathematics teaching in order to extend emotional quotient towards national character development. It stands to reason that due to the development of ICT has another side that is likely to increase emotional skills in social life.

Penanaman Karakter Penalaran Matematis Dalam Pembelajaran Matematika Melalui 1 Pola Pikir Induktif-Deduktif Mulin Nuâ€™man
Jurnal Fourier Vol. 1 No. 2 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

One of the mathematics learning purposes is using reasoning in patterns and properties, mathematical manipulation in making generalization, compiling evidence, or explaining mathematical ideas and statements. Mathematical learning based on behaviorism has been seen as less successful in instilling character of mathematics reasoning. Therefore, it is necessary to find alternative learning not only teaching but instilling character of mathematical reasoning. This paper offers constructivist in mathematics learning, which is one of the ways to involve the use of inductive-deductive thinking. Activities that involve students learning to use the inductive-deductive mindset needs to be designed and implemented by teachers. Using inductive thinking can be conditioned, especially in the process of understanding a concept or generalization. Deductive thought patterns can be conditioned to improve mathematical reasoning, for example, in the proofing. The mindset of inductive and deductive mathematical reasoning is difficult to separate in the mathematical reasoning therefore it is regarded involving the use of inductive-deductive thinking.

Peningkatan Pemahaman Tentang Garis Tinggi Pada Segitiga Dengan Pembelajaran Konstruktivisme (Studi Kasus Pada Mahasiswa Dual Mode Konsentrasi IPS, UPI Kampus Serang) Isrokâ€™atun Isrokâ€™atun
Jurnal Fourier Vol. 1 No. 2 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Knowledge is the studentâ€™s construction result that affect to the more meaningful learning. Sometimes, teachers forget that a student has self-live experiences as their initial concept. When expressed their initial concept, students will be easier to accept new material knowledge, because students will constructing their knowledge indirectly. The constructivism of learning is a teaching and learning process to make students themselves mentally active to construct their knowledge, based on cognitive structure that they ever had before. In the relationship to the studentâ€™s geometry concept, it must be considered how the students constructing this concept by their cognitive structure. Memorizing the mathematical formulation is not the guarantee that the students have been mastering to the real geometry. For example, to understand about height line in the triangle, is not an instantaneous process. It can be learned by constructing through an experiment to involving all student hands on activity process. Through the activity to make a height line, measuring, and calculating the triangle area, student will be led on the joyful activity, avoid to the bored, toward the conclusion that every triangle, there are three height lines for the three triangleâ€™s bases in each area.

Pengaruh Kebiasaan Belajar Dan Kreativitas Belajar Siswa Terhadap Hasil Belajar Matematika (Survey Pada SMA Di Kecamatan Ciledug Tangerang) Nurdeni Nurdeni; Hawa Liberna
Jurnal Fourier Vol. 1 No. 2 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

The objective of this research is to investigate the influence of students learning activity and creativity toward the math learning achievement. In addition it is to know simultaneously the influence of students learning activity and creativity toward the math learning achievement. The research method is used in this research is survey. There are 60 students come from tenth grader of SMA Numaniyah and SMA Fatahillah Ciledug Tangerang as sample of the research, interview, questionner, and achievement test are used to collect the data. The descriptive statistical is used to analyze the data beside person double correlation coefficient, determination coefficient and regression analysis T and F test are used to incate the statistical test. The research was conducted on March 2012. The result of the research show that there is simultaneous influence between students learning activity and creativity toward the math learning achievement of tenth grader students at SMA Ciledug Tangerang. It is stated by the quality regression of Y = -6,227 + 0,85 + 0,683. It indicates that one level of improvement of learning activity and creativity will be followed by the students achievement of -6,227. The students learning activity and creativity variables indicates the significance influence toward the students learning achievement. It is shownby the determination coefficient of R2 = 0,777 and F test score = 99,459.

Penyelesaian Masalah Penjadwalan Job-Majemuk dengan Pemakaian Sumberdaya- Majemuk Menggunakan Algoritma Genetika Taufiq Aji
Jurnal Fourier Vol. 1 No. 2 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Scheduling problems with regard to the problem of determining the order to carry out a number of tasks. This issue covers a wide range of areas such as manufacturing, installation project, production planning, hospital management and reservation system. This problem can be seen as an optimization problem of dealing with a number of constraints. An increase in the complexity of the problem requires the existence of an efficient and effective techniques. This study addresses the issue of scheduling multiple job-where there are several different types of resources that are working on an operation or activity simultaneously. Genetic algorithms are developed to solve these problems. Genetic algorithm testing performed against a number of hipotetik example. The output agoritma of genetics compared against optimal technique of the output and the output algorithm based on Lagrange relaxation on the same issue. The results of the comparison with optimal techniques and algorithms based on Lagrange relaxation indicates a significant improvement of computing efficiency, but nevertheless occur a little decrease in effectiveness.

Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik Joko Purwanto
Jurnal Fourier Vol. 1 No. 2 (2012)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

In this paper geometric algebra and its aplication in the theory of classical electrodynamic will be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory. In this work has been studied aplication of geometric algebra in classical electrodynamics especially Maxwellâ€™s equations. Maxwellâ€™s equations was formulated in one compact equation Ã‘F=J. The various equation parts are easily identified by their grades.

Perbandingan Berbagai Model Conditionally Heteroscedastic Time Series Dalam Analisis Risiko Investasi Saham Syariah Dengan Metode Value At Risk Mohammad Farhan Qudratullah
Jurnal Fourier Vol. 2 No. 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Value at Risk (VaR) is one of the tools recommended Bank Indonesia to gauge the risk of an investment, the VaR approach tends to be more associated with the conventional assumption of a normal distribution, while contemporary empirical findings indicate the existence of patterns of abnormality in the nature of statistical data, especially on financial data. Up to this time shares in the Jakarta Islamic Index (JII) is still heavily influenced by the dynamics of market volatility which one, so the necessary in-depth analysis to help investors make the right decisions in investing. This research addresses the issue of risk analysis model using the VaR approach using a variety of model Heterokedastic Timeseris Conditionals (CHT) and find the best model. As for the data used is the daily closing stock index data-Sharia stocks (JII) post-crisis global 2008 (January 2009 â€“ June 2011) and the software used is E-Views 5.1 and Excel 2007. The results obtained are of 16 (sixteen) model approach to VaR-CHT used, only 5 (five) a valid model on a confidence level of 99%, i.e. Approach (2.2) GARCH, GARCH M standard deviation GARCH (1,1), M Log (Variansi) (1,1), TARCH M Log (Variansi) (1,1), EGARCH and M Log (Variansi) (1,1). The VaR Model of the CHT are the best and recommended in analyzing the risks of stock investment is Shariah (JII) is a model that gives the value of the VaR model, i.e. the smallest VaR GARCH-M standard deviation (1,1) that gives the value of VaR is equal to 3.2396%.

Model Penyebaran Penyakit Polio Dengan Pengaruh Vaksinasi RR Laila Maâ€™rifatun; Sugiyanto Sugiyanto
Jurnal Fourier Vol. 2 No. 1 (2013)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Polio (Poliomielitis) is an infectious disease caused by the polio virus. This disease attacks the entire body (including the muscles and nerves) and can lead to muscle weakness that is permanent, paralysis or death. This paper will discuss on the influence of vaccination against polio disease spread in the human population that settled in the form of mathematical modeling.

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