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AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan
Published by Universitas Ahmad Dahlan
ISSN : 2088687X     EISSN : 26567040     DOI : 10.12928
Core Subject : Education,
Education Mathematics
Admathedu is a peer-reviewed open access journal published twice in a year (June and December) since 2011. The Admathedu aims to provide an national forum for researchers and professionals to share their ideas on all topics related to mathematics education.
Arjuna Subject : -
Articles 10 Documents
 1 
Search results for , issue " Vol 1, No 1 (2011): Juni" : 10 Documents clear
OPTIMISASI PORTOFOLIO RESIKO MENGGUNAKAN MODEL MARKOWITZ MVO Muhammad Mussafi, Noor Saif
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

Risk portfolio on modern finance has become increasingly technical, requiring the use of sophisticated mathematical tools in both research and practice. Since companies cannot insure themselves completely against risk, they have to manage it to yield an optimal portfolio. The objective here is to minimize the variance among all portfolios, or alternatively, to maximize expected return among all portfolios that has at least a certain expected return. Furthermore, this study focuses on optimizing risk portfolio so called Markowitz MVO (Mean-Variance Optimization). Some theoretical frameworks for analysis are arithmetic mean, geometric mean, variance, covariance, linear programming, and quadratic programming. Moreover, finding a minimum variance portfolio produces a convex quadratic programming, that is minimizing the objective function    with constraints  and . The outcome of this research is the solution of optimal risk portofolio in some investments that could be finished smoothly using MATLAB R2007b software together with its graphic analysis.
EFEKTIVITAS PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEADS TOGETHER ( NHT) DAN STUDENT TEAM ACHIEVEMENT DIVISION (STAD) PADA PRESTASI BELAJAR MATEMATIKA DITINJAU DARI MOTIVASI BERPRESTASI Yuzianah, Dita
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The objectives of the research are to investigate: (1) the effectiveness of the cooperative learning model of NHT compared to that of the cooperative learning model of STAD, (2) the learning achievement in Mathematics learning of the students with the high, medium, and low achievement motivations, (3) the effectiveness of the cooperative learning model of NHT of the students with the high, medium and low achievement motivations, (4) the effectiveness of the cooperative learning model of STAD of the students with the high, medium, and low achievement motivations, and (5) the effectiveness of the cooperative learning models of NHT and STAD for each category of the achievement motivations.The research used a quasi-experimental research method. The population of the research was all of the students in Grade IV of 12 State Primary Schools in Belitang sub-district in the academic year of 2010/2011. The samples of the research were taken by using a stratified cluster random sampling technique, and were divided into two experimental groups. Experimental Group I consisted of 86 students of three schools, and Experimental Group II consisted of 73 students of 3 schools. The data of the research were gathered through documentation, questionnaire, and test. They were then analyzed by using a two-way analysis of variance with unequal cells. Prior to the analysis, the instruments were exposed to the pre-requisite tests of normality test and homogeneity test.The results of the research are as follows: (1) the learning achievement in Mathematics learning of the students taught with the cooperative learning model of NHT is the same as that of the students taught with the cooperative learning of STAD; (2) the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the medium achievement motivation, the learning achievement in Mathematics learning of the students with the medium achievement motivation is better than that of the students with the low achievement motivation, and the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the low achievement motivation; (3) in the cooperative learning model of NHT, the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the medium achievement motivation, the learning achievement in Mathematics learning of the students with the medium achievement motivation is better than that of the students with the low achievement motivation, and the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the low achievement motivation; (4) in the cooperative learning model of STAD, the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the medium achievement motivation, the learning achievement in Mathematics learning of the students with the medium achievement motivation is better than that of the students with the low achievement motivation, and the learning achievement in Mathematics learning of the students with the high achievement motivation is better than that of the students with the low achievement motivation; and (5) the students with the high, medium, and low achievement motivations taught with the cooperative learning model of NHT have the same learning achievement in Mathematics learning as those taught with the cooperative learning model of STAD.
PENGGUNAAN METODE K-MEANS CLUSTERING UNTUK PENENTUAN PUSAT FUNGSI BASIS PADA MODEL RADIAL BASIS FUNCTION NEURAL NETWORK (RBFNN) DENGAN MENGGUNAKAN DATA KUNJUNGAN WISMAN KE YOGYAKARTA 1994 – 2006 Khasanah, Uswatun
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

Radial Basis Function Neural Network is a large group of neural network model which has  distance between the input vector to the prototype vectors that are the inputs of hidden units. The benefits of Radial Basis Function Neural Network to determine the function of regulatory approaches, noisy interpolation, density estimation, optimal classification theory and potential functions. There are some benefits of Radial Basis Function Neural Network, but there is a lack of standard procedures to determine the model of Radial Basis Function Neural Networks on the optimal time series data. This study uses  the data of  foreign tourist visiting  to Yogyakarta in 1994-2006. The data is taken from the amount of input 4 and classes of 3,4,5,6, and 7. Subsequently from them it is determined the center and variance of each class using K-Means clustering method and determined the number of basis functions on the model of Radial Basis Function Neural Network by using forward selection method. The results is that there are five types of centers based on the number of inputs and the number of classes. Based on the acquired centers, by using forward selection for the number of classes 3, 4, 5, 6, and 7 it is obtained by consecutive number of basis functions 3, 3, 4.6, and 7.
PERHITUNGAN BOBOT RESIKO KREDIT DENGAN PENDEKATAN ADVANCED INTERNAL RATING BASED (AIRB) MODEL LGD Arina Hidayati, Nur
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The Calculation of minimum capital charges with LGD model of AIRB approach is one of ways to calculate the credit risk weight, a part of banks efforts in managing the risks occurred because of defaulted debtors. In the AIRB approach, it is required components risks required to calculate the minimum capital charges, namely Probability of Default (PD), Loss Given Default (LGD),   Maturity (M). In addition, this model is also needed other risk components, namely: Conditional Probability of Default (CPD), Conditional Loss Given Default (CLGD) and Maturity Adjustment (MatAd). CLGD is a form of LGD modeling where the CLGD formulation formed by using beta distribution.
MODEL PELATIHAN ULANG (RETRAINING) PEKERJA PADA SUATU PERUSAHAAN BERDASARKAN PENILAIAN REKAN KERJA Lestari, Dwi
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

In this paper, its discussed about the model re-training for workers in a company. To improve the quality of workers is usually held training (training) for workers, especially new workers or junior employees. However it is also the possibility of retraining for workers who decline spirit. The condition was one of the bases in formulating a model of retraining for workers in a company. Mathematical models for retraining discussed is a model re-training for workers based on an assessment of his colleagues. This model is shaped system of differential equations. In this model there are two equilibrium points namely the trivial equilibrium point and non-trivial equilibrium point. Local stability of the trivial equilibrium point of time fulfilled the conditions of the reproductive number is essentially less than one. This means that for a long time a good worker does not need to be a master so that workers do not re-training. Numerical simulation is given by taking the value of certain parameters that describe the changes in population size of each class of a time.
APLIKASI ALJABAR PADA KRIPTOGRAFI DAN KEAMANAN INFORMASI Zaki Riyanto, Muhamad
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The confidential information that sent via an insecure communication channels like the internet, have a greater risk to be tapped by the parties are not entitled to know the confidential information. One of the things that can be done is to encrypt information into code that can not be understood. Art and science to keep the confidentiality of information is called cryptography. Historically, cryptography has been used since ancient Roman times, world war, until the digital age and information technology as it is today. From the beginning of its development, the method used for the encoding process using simple calculations. Along with the development of technology, the methods used are also growing, such as the use of computers with mathematical calculations are complicated. One area of ??Mathematics that has a very important role in cryptography is algebra. Many of the methods used in cryptography using algebraic operations are defined over an algebraic structure, as in the group, ring and field. In this paper, its discussed about several applications of algebra that used in cryptography, especially on the structure of algebra (abstract algebra) and linear algebra. Given cryptographic method is Caesar cipher, shift cipher, permutation cipher, Hill cipher, ElGamal and RSA.
MENENTUKAN FPB DAN KPK MENGGUNAKAN TABEL PEMBAGIAN (PENGAJARAN MATEMATIKA SEKOLAH DASAR DAN MENENGAH) Suprapto, Suprapto
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The purposes of this paper are determined of gcd (greatest common divisor) and lcm (least common multiple) using division table. Namely: pair number (two or more numbers) is included in the columns on the first line. Then do the division with the least prime number of form rows in the table. The division will stop if the pair number cannot be common divided (or the numbers are relatively primes). Numbers which cannot be common divided the rest of the division. The determine gcd is equal to multiple of all the numbers in the first column. And the determining lcm is equal to multiple all numbers in the first column and last row.
PEMANFAATAN TEKNIK DELPHI DALAM PENYUSUNAN KOMPETENSI LULUSAN PENDIDIKAN KEJURUAN Mahfud Effendi, Moh.
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

Competence of graduates of vocational education should meet the needs of the individual students, of society, and of business. Thus, in determining and preparing these competencies should consider the needs of users and the development of graduates, if not then certainly the graduates produced is not absorbed by the business or industry. The number of users of vocational education graduates is problematic in the preparation of competence, hence the Delphi Technique as a needs assessment can be used. Delphi technique is a technique to find solutions through consensus by giving kuisener iteratively to many respondents without a meeting or discussion.
PROFIL KREATIVITAS PENYELESAIAN SOAL GEOMETRI SISWA SMP BERDASARKAN GAYA KOGNITIF REFLEKTIF Manurung, Ontang
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

The purpose of this research is to describe the profile of creativity in solving geometry problems of junior high school students based on cognitive styles of reflective. The assessment of creativity is based on the assessment in solving geometry problems which made by the subject that consists of the three aspects of creativity, which are: fluently, flexibility, and novelty. The aspect of fluently in solving geometry problems is considering on the ability of students for making many of correct solutions. The aspect of flexibility in solving geometry problems is considering on the way of making different correct solutions. The aspect of novelty is considering on the ability of students on making different solutions from previous answer which noted as usual. Two solutions are different if the concepts or context which made by the students are different or unsual compare to the ability of others in their ages. This research is descriptive research by using qualitative approach. The research is taking place on class VIIIA SMP YDWP (Yayasan Darma Wanita Persatuan) UNESA in May on school year of 2010/2011. The subject is 1 student with reflective cognitive style, the method to choose subject of research by using MFFT (Matching Familiar Figure Test). The subject was given a problem of geometry continued with the interviewed related to the task, the using time triangulation to observe validity of data, then the valid data is analyzed based on creativity aspects. The profile of creativity in solving geometry problems of junior high school students based on reflective cognitive style as followed: 1) fluency: the student with reflective style can figure many correct flat figure of geometry as determine from the task. 2) flexibility: the student with reflective can not find or make different figure on the their own geometry flat. 3) novelty: student with reflective style can make correct figure of flat geometry which new or different in the concept or context that never made before compare to others of their ages. From the completeness of aspects as mention above, then the reflective student is concluded as creative because can fill the aspects of fluency and novelty in solving geometry problems.
EFEKTIFKAH METODA PEMBANTAIAN DAN VAKSINASI DALAM MENANGGULANGI RABIES DI BALI ? Eka Dwipayana, I Made
Jurnal Ilmiah AdMathEdu Vol 1, No 1 (2011): Juni
Publisher : Universitas Ahmad Dahlan

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Abstract

Rabies is a fatal zoonotic viral disease caused by a virus which attacks the central nervous tissue. According to the World Health Organization (WHO), every year as many as 55,000 people die because they were infected by rabies virus. It is estimated as many as 95% of the incident occurs in Africa and Asia. Almost 99% of the transmission of rabies virus to humans is caused by dogs. It required some efforts to halt the spread of rabies. Some of which is by vaccination and culling the dogs. A mathematical model is required to analyze those efforts so that they became optimal when they applied to the field. Dogs population can be divided become two compartment as healthy (X) and infected dogs ( ). The model will be analyzed using linearization method to determine the characteristics of the population dynamics of healthy and infected dogs. To strengthen the analytical results, will be simulated using Runga-Kutta 4th order method. The result of the research showed that vaccination and culling methods are less effective in eradicating rabies, but by doing a certain level of vaccination and culling level of dogs, the eradicating of rabies spreading still can be done as long as it meets certain criteria.

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