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Item Alternatif Menentukan Persamaan Garis Singgung Elips(2-02-19) Fauziah, Fauziah; Mashadi, Mashadi; Gemawati, SriPersamaan garis singgung elips biasanya diperoleh dengan cara diskriminan dan substitusi, yaitu persamaan garis dengan gradien m disubtitusikan pada persamaan elips. Kemudian diperoleh persamaan kuadrat. Karena garis tersebut menyinggung elips, maka diskriminan sama dengan nol, sehingga diperoleh nilai konstanta. Nilai konstanta tersebut disubstitusikan ke persamaan garis dengan gradien m, maka diperoleh persamaan garis singgung elips. Pada tulisan ini dibahas alternatif lain menentukan persamaan garis singgung elips yaitu dengan menggunakan konteks limit dan jarak antara titik terhadap garis lurus.Item Penafsiran Determinan secara Geometri(20-02-19) Yeni, Riska; Syamsudhuha, Syamsudhuha; Gamal, M.D.HPada umumnya determinan suatu matriks dapat dihitung dengan cara-cara tertentu. Pada tulisan ini diperkenalkan konsep determinan suatu matriks secara geometri. Melalui pendekatan geometri ini diberikan sebuah jajarangenjang yang dibentuk oleh penjumlahan dua vektor kolom, dengan menggunakan luas persegipanjang dan segitiga maka diperoleh nilai determinan matriks berordo 2×2 sebagai luas jajarangenjang. Dari sebuah balok yang terbentuk oleh vektor-vektor kolom matriks 3×3 didapatkan nilai determinan matriks 3×3 sebagai volume balokItem PERILAKU STRUKTUR BANGUNAN BERTINGKAT YANG BERBENTURAN AKIBAT BEBAN DINAMIK(2012-11-07) Suryanita, RcniGround excitation on two buildings can cause pounding if the gap between them is not enough for their free vibration response. Pounding can cause amplification of internal forces of the response structure elements and impact force at the contact zone that usually have not calculated yet in the preliminary design. Therefore, it can cause damage and failure of the building. The two buildings are modeled as MDOF discrete. To release the bounding between the degree of freedom, the dynamic analysis is carried out by modal superposition method, then the analysis is continued by numerical analysis by Runge Kutta method. The parameters of study are mass of the model, stiffness of the model, pounding stiffness, and the initial gap between the buildings. The result of study, shows that the pounding force will increase as the initial gap between the buildings is decrease. Minimum gap between the buildings to avoid pounding is less than the relative maximum of total absolute value range of the both buildings under designed earthquake force. Therefore, by knowing minimum gap between buildings so the pounding can be avoidedItem MODEL FISIK PEMBANGKIT LISTRIK TENAGA MINI-MIKROHIDRO (PLTM)(2012-11-07) Rinaldi; HarmainiThe use of mini-microhydro electricity power generator is still conducted rarely. It needs to know its effectivity and efficiency. It needs special treatment by using new technology, so it could be especially in the rural areas those had water resources for that treatment. In this research physical model of mini-microhydro electricity power generator was made. The procedure of this research consist of three steps : the installation and adjustment of equipment (tank installation and pipe installation, dynamo and turbin restraint, turbin and dynamo intallation), the model test (water supply measurement, tutrbin angular velocity measurement), and running model (dynamo angular velocity measurement, and voltage measurement). The result of the research that was conducted, the maximum water suplly 5,513 Us, average of dynamo angular velocity 548,6 rpm. The maximum voltage that is produced model 80 volt. On the model condition no energy is produced, because the voltage and angular velocity that was planned are not reached yet.Item KUAT TEKAN DAN MODULUS ELASTISITAS BETON MENGGUNAKAN SILIKA PRESIPITASI (SiOz) BASIL EKSTRAKSI LIMBAB ABU SAWIT(2012-11-07) Romey Sitompul, Iskandar; Tahara, EdoThe using additive for concrete mixing has developed recently aim to increase the behaviour and compression strength of the concrete. Silica presipitated is one of additive materials used for concrete mixing. It's obtained from the crude palm oil industrial process. On this research, silica presipatated will be added by using comparison 0%, 4%, 8%, 12% of cement weight. According to this research, concrete compression strength increase 9,77% with addition 4% silica presipitated of concrete 0% silica presipitated at age 28 day. Modulus elasticity also increase 2,02% on adding 4% silica presipitated of concrete 0% silica presipitated at age 28 dayItem POTENSI TASIK NAMBUS UNTUK MELAYANI KEBUTUHAN AIR BERSIH KOTA SELAT PANJANG(2012-11-07) Siswanto; MujiatkoNowadays, the requirement of clean water increases as the number of human population rises as well as people awamess of being health. So far people in Tebing Tinggi subdistrict, Selat Panjang get clean water for they daily need from a water resources that provided by local government. The capasity of this fasility had been upgraded from 10 1/dt up to 30 It/dt. In accordance with the increase of populaton, that amount still has not enough yet to fullfill the people need of clean water. Tasik Nambus (Nambus Pond) is one of potential water resources available in Tebing Tinggi subdistrict. Based on the research study and hydrologycal analysis, it was shown that the Nambus Pond holding capasity can reach up to 289,509 m3/hr.Item PEMODELAN PENELUSURAN BANJIR DENGAN METODE MUSKINGHUM(2012-11-07) Hendri, Andy; Inra MTujuan penelusuran banjir salah satunya adalah peringatan dini banjir, salah satu metode yang terkenal dikembangkan oleh Muskingun. Untuk menghormati penemunya, metode tersebut dinamai Muskingum. Metode in! telah diterapkan secara intensif pada beberapa sungai di Inggris. Menurut Saihul (2006) Muskingum termasuk metode yang cukup akurat, tingkat kesalahan prediksinya rata-rata sebesar 14 persen. dan kesalahan prediksi waktu debit puncak rata-rata 0,16 jam. Metode Muskingum tidak didasarkan atas hukum-hukum dasar hidrolika. Metode ini hanya meninjau hukum kontinuitas dan tampungan. Metode Muskingum menggunakan data debit masuk dan debit keluar yang diukur pada waktu yang bersamaan. Metode ini sering sekali memakan waktu yang lama dikarenakan adanya perulangan-perulangan pada perhitungan konstantakonstanta penelusuran sehingga dalam proses perhitungan memungkinkan terjadinya kesalahan (systematic error). Penelitian ini disusun setelah melalui serangkaian kegiatan penelitian tentang Pemodelan Penelusuran Banjir metode Muskinghum. Penelitian ini pada dasamya hanya pemodelan numerik saja, sedangkan data yang digunakan adalah data sekunder. Untuk hasil ketiga simulasi tersebut sendiri mempunyai trend yang sama antara satu dengan yang lainnya, hal tersebut dapat dilihat pada simpangan rerata untuk simulasi data per 1 jam, 2 jam dan 3 jam yang mempunyai nila simpangan rerata berturut-turut adalah: 18,3%, 19,8, dan 21,3%. Nilai tersebut tidak terlalu signifikan sekali, sehingga untuk mengambil data di lapangan tidak perlu data yang per 1 jam-an karena untuk yang 3 jam-an saja sudah terwakilkan dan nilainya pun tidak terlalu berpengaruh.Item ANALISIS STRUKTUR KONFIGURASI TIANG DERMAGA TERHADAP GAYA LATERAL(2012-11-07) Ismeddiyanto; Sutikno, SigitPlanning and design of jetty for general cargo port always use piles for its lower structure. Arrangement of Pile configuration in jetty is very important thing in stability of structure as well as for construction cost. This research has analysed structurally three alternatives of pile configuration design, those are pile configuration Type-], Type-2, and Type-3. The Type-I and Type-2 are the conventional configuration pile that are the most commonly designed. The Type-3 is a configuration piles that is proposed to be the more stable structure than the conventional configurations. All of the alternatives configuration are analyzed structuraly using SAP 2000 VI 1.0.0 to find maximum lateral displacement, axial force, shear force, and moment in pile. Base on the result of structural analysisis can be concluded that jetty Type-3 is the mostItem KAPUR TOHOR DAN ABU SAWIT SEBAGAI BAHAN TAMBAH ATAU SUBSTITUSI SEMEN PADA MORTAR(2012-11-07) Kurniawandy, Alex; Ismediyanto; Novalina, TettyThe aim of this research is to learn the influence of palm oil fly ash and quick lime with the certain percentage against strength that was produced. Using of the additive or substitution of palm oil fly ash and quick lime can be hoped to save the use of cement in the mortar mixture. Moreover it will be useful to give waste added value of the industry that has not yet made use of optimally especially as the building materials (close the environment). The ratio between cement and sand in this research was 1:3. The specimen was made total 108 samples, the size of specimen is 5x5x5 cm. Palm oil fly ash and quick lime that are used with the percentage 20%, 40%, 60% and 80% against heavy cement, while the composition of palm oil ash fly ash and the lime that is 67.5- 32.5. In the meantime as the standard mortar was made by the mixture of the level of palm oil fly ash with quick lime 0 % and 100%.The results of the research show that the optimum value in the percentage of 20% with strength 202.06 Kg/cm2 (the age 28 days) and 40 % with strength 197.69 kg/cm2 (the age 56 days). While the biggest porosity and absorption value was obtained in mortar with 100% and 80 % palm oil fly ash and quick lime.Item SISTEM PENGAMBILAN KEPUTUSAN (DECISSIONSUPPORT SYSTEM, DSS) PERBAIKAN DAN PEMELIHARAAN LERENG BERDASARKAN PROSEDUR MANAJEMEN ASET(2012-11-07) Sandyavitri, Ari; Muhardi; Burhanuddin; Sucipto Wijaya, Andi; Zulfi, Albert; Wibisono, GunawanThe simulation of Decision Support Systems (DSS) based on the Assets Management procedure (in managing rock slopes systematically) was demonstrated in this paper. Rock fall Hazard Rating System (RHRS) and Rock fall Mitigation Cost Estimate (RMCE) methods were applied in this paper to mapping, evaluate, and analyze rock fall hazard at the road section of Pekanbaru- Bukittinggi KM 75 to KM 115. Two major elements are subjects to investigate as follow; (i) technical aspect; and (ii) economy one. Based on the RHRS criteria, there should be the riskiest slopes and potential rock fall hazard be prioritized to be managed, they are slopes at KM 80.2 (left), KM 77 and KM 10.3 with RHRS values of 581, 542 and 420 points. The higher RHRS value of the slope the riskiest the slope to the road users. RMCE considers economy aspect to be put into consideration together with RHRS values. Cost estimate for managing rock fall is divided with RHRS is known as cost risk (CR). The CR may comprehensively assist process of DSS for managing the slopes within the road section above by offering flexible options such as; prioritizing the riskiest slopes with moderate CR values eg. Slopes of KM 109.3, KM 77 and KM 80.2 with the BR values of 200.000, 351.000, and 312.000 respectively; or prioritizing the rock fall hazard slopes with the lowest CR values (eg. CR below300.000) for slopes at KM. 109.5, 109.3, 112 dan 80.23.For the first option, it may yield 3 slopes can be repaired, and at second option it may repair 4 slopes.Item ALTERNATIF SOLUSI PENGGUNAAN GEOTEXTILE PADA KONSTRUKSI JALAN DIATAS TANAH LUNAK(2012-11-07) Maizir, HarnediItem KAJIAN POLA ALIRAN DAN KAPASITAS SALURAN DRAINASE SEBAGAI USAHA MENGATASI BANJIR GENANGAN DI KOTA SIAK SRI INDRAPURA(2012-11-07) Mudjiatko; SiswantoPerubahan karakteristik kota Siak Sri Indrapura iiarus diimbangi dengan sistem jaringan drainase yang memadai yang dapat dan mampu mengontrol serta mengendalikan aliran air permukaan yang akan terjadi sehingga meminimalkan wilayah banjir di Kota Siak. Penelitian ini bertujuan sebagai suatu kajian komprehensif berkenaan dengan pola aliran dan kapasitas saluran pada sistem jaringan drainase Kota Siak Sri Indrapura.Data data curah hujan, Rencana Detail Tata Ruang Kota Siak 2010, data topografi wilayah kajian dan hasil inventariasasi pola aliran exisilng dibutuhkan sebagai dasar kajian pola aliran dan analisa kapasitas saluran. Data Curah hujan stasiun buatan selama 20 tahun dianalisa dan diuji untuk menentukan curah hujan rencana. Hasil kajian menunjukan bahwa kapasitas saluran yang ada di kota Siak Sri Indrapura saat ini, tidak mampu menampung curah hujan yang terjadi sehingga dibutuhkan pengaturan ulang terhadap pola aliran. Sebagai akibatnya, harus dilakukan perubahan dimensi saluran untuk 80 % saluran yang ada di Kota Siak Sri Indrapura.Item THE EXPLORATION OF INDONESIAN TRADITIONAL GAMES AS THE CONTEXT IN LEARNING FACTOR NUMBERS(2012-11-09) Wahyuni, Reni; lima Indra Putri, RatuThe main goal of this research is to explore the Indonesian traditional game as the context which is for acquiring the concepts of factor numbers. This research was held in the first semester 2010/2011 with a total number of 20 fourth grade students. Realistic Mathematics Education (RME) as the basic principle in teaching and learning processes of this research. With RME tenets, PMRI in Indonesia has an important role for a new pedagogy in mathematics classroom whereas students are encouraged to construct mathematical idea within their daily life. The research was conducted by design research methodology, comprising namely preliminary design, teaching experiment, and retrospective analysis phase. The discussion in classroom present to get information of the students' understanding about factor numbers through their experiences in playing bekel game. The result of this research shows the use of Indonesian traditional game as the context in learning factor numbers. So, the students can explore their understanding in learning process.Item RARE EVENT MODEL SIMULATION FOR HEAVY TAILED DISTRIBUTION(2012-11-09) Devianto, DodiIt is shown that the sum of rare event random variable X„j generated from generalization of negative binomial distribution in the scheme of infinitesimal system of ^ = {{^„y}y=i2 n) converges to a kind of stable distribution with skewed property and heavy tailed. The sum of random variables X„j show a good s h ^ to figure out a rare event phenomenon where most of fail events have high probability concentrated around random variables zero, and the remainders (success events) have veiy low probability to appear.Item TRACKING PERSON IN OUTDOOR AND DYNAMIC ENVIRONMENT(2012-11-09) Elfizar; Shing Ng, LiangThis research is intended to track person in the video sequences. The videos used in this research consist of persons walking in the outside of building with dynamic environment. There are two cameras used in this research with different field of view but with overlapping views. Each video has specifications i.e. frame size of 576x768 pixels, rate of 30 frame per second, and avi format. After reading the input, we do background estimator. The background is taken from the initial frame where there is no people walking in the observed area. After the segmentation process, then we use Kalman Filter to predict the tracked person walking in the view. The filtered position yielded by the above algorithm is used to mark the rectangles which state the foreground. When there is occlusion in one view, the homography from this view to other views is estimated from previous tracking results and used to infer the correct transformation for the occluded view. The experiment results show that the tracking process in outdoor and dynamic environment can be done correctly, although some problems still occur to be a challenge for the next research.Item USING "BSR" AS TRADITIONAL GAME TO SUPPORT NUMBER SENSE DEVELOPMENT IN CHILDREN'S STRATEGIES OF COUNTING(2012-11-09) Nasnillah; ZulkardiIn line with PMRI approach, the use of Bermain Satu Rumah (BSR) as traditional game to support children's counting classroom wherein students are encouraged to construct mathematical understanding. This requires an adjustment to the activity of students, adjustments in the learning process for mathematization, as well as a reinventing of what constitutes mathematics. Design research was methodology that be used to investigate the role of BSR to support students in promoting and eliciting the basic concepts of counting. The study reported in this paper will describe analysis and evidence from a research effort involving grade 3 PMRI classroom in MIN 2 Palembang. Evidence of rich strategies and discussion on the notion of counting will be analyzed and reported. Our findings suggest that BSR as a contextual problem, students were able to develop the sense of number by different strategies of counting.Item SATUAN SUKATAN DAN PEMBELAJARAN MATEMATIKA(2012-11-09) MashadiDalam makalah ini dibahas berbagai kasus etnomatematika yang terdapat di Indonesia, Satuan tradiosinal yang dibahas adalah satuan tradisional yang berlaku di jawa, Bali dan Sumatra (khususnya di Provinsi Riau) sebelum abad ke 20. Beberapa satuan tradisional yang dibahas adalah satuan ukuran jarak, satuan ukuran luas , volume dan berat dan satuan hitung barang. Selain itu juga diungkapkan salah satu permainan galah panjang pada masyarakat Melayu Riau. Dibagian akhir juga di ungkapkan beberapa metoda perkalian yang sudah lama wujud diberbagai Pesantren yang ada di wilayah Provinsi Riau bagian daratan, akan tetapi metoda perkalian ini dalam sejarah matematika dikenal dengan perkalian mesir kuno dan Gelosia Multiplication dari Medioval Eropa. Khusus untuk satuan tradisional disisipkan pendekatan pembelajaran untuk satuan tradisional pada Kurikulum Tingkat Satuan Pendidikan (KTSP) bagi pelajar Sekolah Menengah Pertama/ Madrasyah Tsyawiyah (SMP/MTs).Item USING V A N HIELE-BASED INTERACTIVE VISUAL T O O L T O A L L E V I A TE L E V E L O F THINKING IN G E O M E T R Y AMONG SECONDARY SCHOOL STUDENTS IN PAREPARE(2012-11-09) Zainal Abidin, ZaidThere have been serious concerns about students' learning difficulty in geometry worldwide, including Indonesia. Research findings suggest that such phenomenon is best explained by the established van Hiele model of learning of geometry which associates the learning difficuhies with the missing of predictable sequence of levels of development of knowledge and understanding geometry concepts. The model has been widely adopted as framework in the design and development of various technology-related applications designed to help learners to learn geometry effectively. However, the suitability and effectiveness of such applications among most of the post- SMP Indonesian school children is very likely to be dampen due to the lack of suitable infrastructure and inappropriate educational emphasis and practices. In addition, most of the applications were designed to help learners to develop knowledge and understanding across the spectrum of geometric topics rather than to help them to progress through their van Hiele geometry thinking on the level-by-level basis. This research paper discusses the needs to develop alternative learning instructions which address these discrepancies. A conceptual framework of the design and development of such instructions would also be discussed. The ultimate goal of the research is to develop interactive learning instructions (called Interactive Visual Tools or IVT) which assist post-SMP students in the region of Parepare to progress through van Hiele levels of geometry thinking via utilization of limited local resources over a minimal technology-oriented educational environment.Item BIRTHDAY CAKE ACTIVITYSTRUCTURED ARRANGEMENT FOR HELPING CHILDREN DETERMINING QUANTITIES(2012-11-09) Mariana, NeniFew researches have been concerned about relation between children's spatial thinking and number sense. Narrowing for this small research, we focused on one component of spatial thinking, that is structuring objects, and one component of number senses, that is cardinality by determining quantities. This study focused on a design research that was conducted in Indonesia in which we investigated pre-school children's (between 2 and 3.5 years old) ability in making structured arrangement and their ability to determine the quantities by looking at the arrangements. The result shows us that some of the children were able to make such arrangement. However, the children found difficulties either to determine quantities from those arrangements or to compare some structures to easily recognize number of objects.Item DESIGN RESEARCH IN PMRI: USING MATH TRADITIONAL DANCE IN LEARNING SYMMETRY FOR GRADE FOUR OF PRIMARY SCHOOL(2012-11-09) Helsa, Yullys; lima Indra Putri, RatuThe new innovation of education is an important point of Pendidikan Matematika Realistik Indonesia (PMRI), Indonesian version of Realistic Mathematics Education (RME). Using the theory of R M E we conducted design research with the aims to build upon students' reasoning and reach the mathematical goals of symmetry. This research aims to produce a learning process and to understand the concept of symmetry. Design research was chosen to get the goal of this research. Three steps o f design research were followed namely preliminary design, teaching experiment and retrospective analysis. This research was conducted with 22 students in M I N 2 Palembang. The result of this research is students' understanding of the symmetry concept using math traditional dance.