PREFACE
South East Asian Conference on Mathematics and Its Applications or abbreviated SEACMA is a seminar which organized by the Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya. To reach the world class research university, the seminar was upgraded its network to an international conference which previously only the national level and it is called the Seminar Nasional Matematika. SEACMA was held on Saturday, November 6th 2010, at Gedung Pasca Sarjana, ITS Surabaya with the theme "Mathematics for All".
The aim of the seminar is to create a forum for exchange of information and is intended to be the media of cooperation among researchers, academia, industry practitioners and observers of mathematics. Through interactive communication from different perspectives, it is expected to be emerged a lot of ideas and constructive collaboration.
The proceeding presented 58 scientific papers which have passed the Steering Committee, whose members come from universities. Contributors are coming from various research institutes and academia.
Finally, the committee would like to thank to all speakers, presenters, participants and all those involved directly or indirectly in the SEACMA.
Surabaya, November 6th 2010 Chairman
Subchan
South East Asian Conference on Mathematics and Its Applications (SEACMA) Department of Mathematics Institut Teknologi Sepuluh Nopember Surabaya November, 6th 2010
Steering Committee Subiono, Basuki Widodo, M. Isa Irawan, Erna Apriliani, Marjono, Nur Iriawan
Organizing Committee Chairman
:
Vice Chairman :
Subchan Nurul Hidayat, Lukman Hanafi
South East Asian Conference on Mathematics and Its Applications (SEACMA) Proceedings ISBN : 978 – 979 – 96152 – 5 – 1
Editor Subchan, Mahmud Yunus, Soleha
CONTENTS
MATEMATIKA UNTUK SEMUA: POTRET MATEMATIKA DI SEKITAR KITA – Mahmud Yunus ....................................................................... 1 ON ORTHOGONALITY IN n-NORMED SPACES – H. Gunawan ........................ 7 TEOREMA TITIK TETAP PEMETAAN KONTRAKTIF PADA RUANG METRIK CONE LENGKAP DENGAN JARAK–W – Sunarsini ............. 13 OPERATOR LAPLACE FRAKSIONAL DAN TRANSFORMASI FOURIERNYA – Cicik Alfiniyah .............................................................................. 19 PERBANDINGAN KETELITIAN APROKSIMASI DERET FOURIER DAN DERET WAVELET HAAR TERHADAP FUNGSI KONTINU – Suzyanna ............................................................................... 27 KETERINTEGRALAN FUNGSI KONTINU HOLDER BERPANGKAT
0,1 TERHADAP
INTEGRAL- F – Supriyadi Wibowo ....................................................................... 33 SUBMARINE MOTION CONTROL USING SLIDING MODE CONTROL – Mardlijah, Nisa Fitri Pasha ....................................................................................... 45 STABILITY ANALYSIS AND OPTIMAL HARVESTING OF COMPETING POPULATION MODEL – Syamsuddin Toaha ......................................................... 53 IDEAL PRIME PADA SEMIRINGS
– Dian Winda Setyawati ............... 63
APLIKASI BEDA HINGGA PADA PROSES STERILISASI MAKANAN KALENG – Lukman Hanafi, Mardlijah, Dedik Ardian ............................................. 69 BIFURKASI MUNDUR DARI MODEL EPIDEMIK DENGAN PENGARUH VAKSINASI – M. Setijo Winarko ............................................................................. 79 DETERMINAN MATRIKS DALAM ALJABAR MAX-PLUS – Siswanto ............ 87
A NOTE ON THE PARTITION DIMENSION OF BANANA TREE – Darmaji, Saladin Uttunggadewa, Rinovia Simanjuntak ............................................................ 95 MEMBANGUN SUPER EDGE-MAGIC GRAPH BARU DARI GRAPH YANG SUDAH ADA DAN MEMUAT BEBERAPA CYCLE GANJIL – Suhud Wahyudi, Sumarno .......................................................... 99 OPEN PROBLEM ON LARGE GRAPHS – Yus Mochamad Cholily ...................... 109 THE ECCENTRIC DIGRAPH OF A WHEEL GRAPH – Tri Atmojo Kusmayadi, Fauzziyah Fathmawatie ....................................................... 113 A NOVEL NUMERICAL APPROACH IN SOLVING OPTIMAL CONTROL PROBLEMS – Asrul Sani, Mukhsar, Bahriddin Abapihi .......................................... 119 OPTIMAL INTERVENTION OF DHF OUTBREAK IN MULTIPLE POPULATION MODELING AND SIMULATION – Asrul Sani, Mukhsar, Bahriddin Abapihi ...................................................................................................... 127 RESEARCH THROUGH MHD SIMULATION FOR ASYMMETRIC PLASMA INJECTION IN SOLAR CORONAL MAGNETOHYDROSTATIC FIELDS: WARNING TO PROMINENCE FORMATION – Bambang Setiahadi ......................................................................... 135 PORTFOLIO SELECTION USING EXPONENTIALLY WEIGHTED MOVING AVERAGE (EWMA) AND GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSCEDASTIC (GARCH) – Sulistiyo, Putu Ayu Gatrani Sudyanti .............. 143 MODIFIED SEMI-PARAMETRIC ESTIMATION OF SAMPLE SELECTION MODEL – Umi Mahmudah, Sugiyarto, L. Muhamad Safiih ...................................... 149 PEMODELAN MATEMATIKA PADA MODIFIKASI SAMPLE SELECTION MODEL – Umi Mahmudah, Sugiyarto, L. Muhamad Safiih ...................................... 153 PEMODELAN DAN SOLUSI NUMERIK ALIRAN GAS DALAM SALURAN PIPA MENGGUNAKAN METODE CRANK-NICOLSON – Nur Asiyah, Kamiran, Zusnita Meyrawati .......................... 159 PEMBUATAN MODEL MATEMATIKA UNTUK MENJELASKAN DINAMIKA POPULASI RUSA TIMOR SEBAGAI BAHAN PAKAN UTAMA POPULASI KOMODO DI PULAU GILI MOTANG – Rudianto Artiono ............... 169 PENGGUNAAN IMAGE METHOD PADA PENENTUAN HARGA OPSI SAHAM KARYAWAN MODEL VERR – Rudianto Artiono ......................... 177
MODELING AND SIMULATION OF SEDIMENT TRANSPORT VIEWED FROM THE ANGLE CAME BROKEN WAVES – Dian Savitri ............ 187 APLIKASI METODE EULER PADA PERENCANAAN UNTUK MEMINIMUMKAN BIAYA PRODUKSI – Sumarno, Suhud Wahyudi ................. 195 METODE COLOR CORRELOGRAM UNTUK EKSTRAKSI FITUR WARNA PADA CITRA – Budi Hartono, Agus Harjoko, Retantyo Wardoyo, Jazi Eko Istiyanto ........................................................................ 203 METODE K-MEANS CLUSTER DAN FUZZY K-MEANS CLUSTER PADA KASUS PENGELOMPOKAN DESA MENURUT STATUS KETERTINGGALAN – Sukim, Muhammad Mashuri, Irhamah ............................... 211 CENCORED DATA MODELLING : USING UNIVARIAT AND BIVARIATE TOBIT REGRESSION ANALYSIS – Ismaini Zain, Dwiatmono Agus W., Deddy Dwi Prasetyo, Vita Ratnasari ......................................................................... 221 FUZZY C-MEANS CLUSTERING DENGAN MODIFIKASI FUNGSI JARAK (STUDI KASUS PENGELOMPOKAN KABUPATEN/KOTA DI PROVINSI JAWA TIMUR BERDASARKAN VARIABEL PEMBENTUK INDEKS PEMBANGUNAN MANUSIA) – Alfatihah Reno, Nur Iriawan .............................. 227 PENDEKATAN TOBIT MODEL DAN DOUBLE-HURDLE DALAM PEMODELAN KONSUMSI TEMBAKAU DAN SIRIH DI KALIMANTAN TIMUR – Ariyanti Cahyaningsih, Ismaini Zain, Heri Kuswanto, Dwi Atmono Agus W. ................................................. 237 GENERALIZED POISSON I VS GENERALIZED POISSON II TO SOLVE OVERDISPERSION ON POISSON REGRESSION – A’yunin Sofro ...................... 245 PARTIAL LEAST SQUARES PATH MODELLING DENGAN PENDEKATAN RADIAL BASIS FUNCTION NETWORKS – Budi Yuniarto, Sony Sunaryo .......... 251 THE DYNAMIC BEHAVIOUR OF STOCHASTIC MODEL IN MULTI POPULATION FOR DISEASE SPREAD OF DHF – Mukhsar, Asrul Sani, Bahriddin Abapihi ...................................................................................................... 261 ESTIMASI BAYESIAN UNTUK GERAK NEWTON – Andika Arisetyawan ........ 269 MONTHLY RAINFALL FORCASTING BY USING ARIMA-BOX JENKINS IN NGAWI DISTRICT – Jerry Dwi Trijoyo Purnomo, Sutikno, Dedy Dwi Prastyo ....................................................................................................... 273
PEMODELAN FLUKTUASI INDEKS SAHAM LQ-45 DENGAN MENGGUNAKAN MODEL ADITIF NONPARAMETRIK MELALUI MODEL CAMPURAN (*) – Suliyanto ................................................... 279 PEMODELAN TINGKAT KRIMINALITAS DENGAN MENGGUNAKAN MODEL LINEAR DENGAN SPATIAL LAG DEPENDENCE (*) – Suliyanto ...... 287 CUSTOMER SATISFACTION ANALYSIS OF MOTORCYCLE’S RIDER TOWARD ON FUEL’S PRODUCT PERTAMAX IN SURABAYA – Destri Susilaningrum, Yulita Nurvitasari ....................................................................................................... 297 ANALISIS INTERFERENCE TEST MENGGUNAKAN ESTIMASI BAYESIAN – Andika Arisetyawan, Sutawanir Darwis ......................... 307 METODE “AUTOMATIC CLUSTERING TECHNIQUE - FUZZY LOGICAL RELATIONSHIPS” UNTUK PERAMALAN DATA UNIVARIATE – Robert Kurniawan, Slamet Mulyono, Irhamah ...................................................................... 315 PEMODELAN FERTILITAS DI NUSA TENGGARA TIMUR DENGAN PENDEKATAN REGRESI LOGISTIK TAHUN 2009 – Albert C. Lulan ............... 325 PEMODELAN KESEJAHTERAAN RUMAH TANGGA MENGGUNAKAN MULTIVARIATE ADAPTIVE REGRESSION DENGAN FUNGSI BASIS SPLINE DI PROVINSI JAWA TENGAH TAHUN 2008 – Eko Wiyono, Bambang Widjanarko Otok ........................................................................................ 333 METODE JARINGAN SYARAF TIRUAN UNTUK IMPUTASI – Suti Wardani, Muhammad Mashuri, Irhamah ................................................................................... 341 ANALISIS CLUSTER POTENSI FISKAL PEMERINTAH PROPINSI DI INDONESIA – Dominikus Fendhi Endarto, Brodjol Sutijo S. U. ............................. 347 METODE FUZZY K-MEANS DALAM PENANGANAN MISSING DATA – Tony Hartono, Irhamah ............................................................. 355 MENTORING PROGRAMS FOR RSBI TEACHER’S PROFESSIONAL DEVELOPMENT – Rooselyna Ekawati .................................................................... 361 EMPOWERING STUDENT’S CREATIVITY THROUGH LEARNING TESSELATION USING THE INTERNET – Siti Rokhmah, Sitti Maesuri Patahuddin, Sulasih, Alfath Famela Rokhim .............................................................. 367 LEARNING COMPLEX FUNCTION AND ITS VISUALIZATION WITH MATHLAB – Hanna Arini Parhusip ......................................................................... 373
PENGEMBANGAN MATHEMATICS MOBILE LEARNING APPLICATION (MMLA) – SISTEM PERSAMAAN LINEAR DUA VARIABEL (SPLDV) UNTUK SISWA KELAS 8 – Evangelista Luh Windyana Palupi, Sitti Maesuri Patahuddin ................................................................................................... 385 UJI COBA INSTRUMEN PENILAIANASPEK RME PADA PENGAJARAN GURU – Sitti Maesuri, Ofirenty Elyada, Evangelista, Agustin ...... 395 THE ROLE OF STUDENT’S INTERACTIONS IN LEARNING STATISTICS AT ELEMENTARY SCHOOL LEVEL – Rini Setianingsih ..................................... 403 PENGEMBANGAN WEBQUEST BERBASIS INKUIRI UNTUK PEMBELAJARAN MATEMATIKA SMP BERTARAF INTERNASIONAL – Izzatul Yazidah, Sitti Maesuri Patahuddin ............................. 411 PENERAPAN TEORI APOS UNTUK MENGGALI PEMAHAMAN OPERASI PEMBAGIAN PADA SISWA KELAS III SD DENGAN GAYA BELAJAR TAKTIL – Sulis Janu Hartati ..................................................... 419 PENGARUH WORKSHOP PMRI TERHADAP PERUBAHAN PEMIKIRAN GURU TENTANG MATEMATIKA DAN PEMBELAJARAN MATEMATIKA – Sitti Maesuri, Siti Rokhmah, Evangelista, Ofirenty Elyada ........ 427 PEMBELAJARAN PECAHAN MENGGUNAKAN WEBSITE MATEMATIKA BERBAHASA INGGRIS – Setya Rini, Sukwati, Agustin Ernawati, Sitti Maesuri ............................................................................................... 435 PENGEMBANGAN PERANGKAT PEMBELAJARAN TESSELASI BERBASIS INKUIRI DENGAN MENGGUNAKAN ICT – Sulasih, Sitti Maesuri Patahuddin ............................................................................................ 443
South East Asian Conference on Mathematics and Its Applications Proceedings Institut Teknologi Sepuluh Nopember, Surabaya ISBN 978 – 979 – 96152 – 5 – 1
LEARNING COMPLEX FUNCTION AND ITS VISUALIZATION WITH MATLAB Hanna Arini Parhusip Department of Industrial Mathematcs and Statistics, Science and Mathematics Faculty-Satya Wacana Christian University Jl. Diponegoro, 52-60, Salatiga Central Java – Indonesia e-mail : 1
[email protected]
Abstract. This paper describes a learning process for visualizing a complex function with MATLAB. The research is a result of a lecture given for undergraduate students in Mathematics Departement of Science and Mathematics Faculty at the Satya Wacana Christian University 2010. Complex function must be expressed into real part and an imaginary part in order to visualize it. We take some complex functions which are usually can also be found easily in real 2
3
numbers. These are a quadratic function ( z ), a cubic function ( z ), an exponential function and trigonometric functions such as sin(z) and cos (z) and some their variations. By keeping the radius constant for any complex number in the complex plane, one may draw the domain of z in a complex plane and its image to an other complex plane. The angle is then kept to be constant to get a mapping curve based on the given function. Finally both parameters are varied to have general figures. We also illustrate a real part and an imaginary part of the function to be presented as a surface of two variables (x,y). Keywords: complex function, polar coordinate, analytic, conformal mapping
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