PROS Hanna A Parhusip Learning complex function Abstrak
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
INTEGRAL- F
0,1 TERHADAP
– 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 hannaariniparhusip@yahoo.co.id
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
373
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
INTEGRAL- F
0,1 TERHADAP
– 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 hannaariniparhusip@yahoo.co.id
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
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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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