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Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Published by Universitas Riau
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
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Articles 152 Documents
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Search results for , issue "Vol 2, No 1 (2015): Wisuda Februari 2015" : 152 Documents clear
KELUARGA METODE LAGUERRE DAN KELAKUAN DINAMIKNYA DALAM MENENTUKAN AKAR GANDA PERSAMAAN NONLINEAR Een Susilawati; Supriadi Putra; Zulkarnain '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses the family of Laguerre method to find multiple roots of non-linear equations with a known multiplicity. Analytically, we show that this iterative method has a convergence of order three. Furthermore, by choosing the value of certain parameter in the Laguerre method, we obtained several well-known iterativemethods. Using some test functions, we compare the family of Laguerre methods to obtain a root of nonlinear equation by looking at the number iterations of the methods. In addition, comparisons are also made through Basins of Attraction.
METODE GAUSS-SEIDEL PREKONDISI UNTUK MENCARI SOLUSI SISTEM PERSAMAAN LINEAR Sativa, Alhumaira Oryza; Putra, Supriadi; ', Zulkarnain
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses how to nd a solution of linear system of equations Ax = b, with A in the form of Z -matrix, using preconditioned Gauss-Seidel method. Pre-condition matrix used is the matrix proposed by J.H. Yun [Applied Mathematics Letters, 27: 207-215 (2012)]. Analytically it is shown that the spectral radius ofthe iteration matrix of the preconditioned Gauss-Seidel method is smaller than that of the standard Gauss-Seidel method. Furthermore, from the numerical experiment in solving a linear system of equation Ax = b, it is seen that the preconditionedGauss-Seidel method requires fewer iterations than standard Gauss-Seidel method.
METODE CHEBYSHEV-HALLEY BEBAS TURUNAN KEDUA UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Ridho Alfarisy; Rolan Pane; Supriadi Putra
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses the Chebyshev-Halley method free from second derivative with one parameter, which is a modification of Chebyshev-Halley method with third order convergence. This method has a convergence of sixth order if the value of theparameter is one and of fifth order if the value of the parameter is other than one. For each iteration of this method, four function evaluations are needed, so that the efficiency index for the parameter is 614 = 1.565. Furthermore, the computational test shows that the discussed method is better than Newton method, Chebyshev method, Halley method, and Super Halley method in terms of the error produced in obtaining the estimated root.
CADANGAN COMMISSIONERS ASURANSI DWIGUNA DENGAN FORMULA WOOLHOUSE Aldila Nur Indah Berliana Ratam; Tumpal Parulian Nababan; Hasriati '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses the commissioner reserves for endowment insurance, where in determining the  annual premium is used single premium and the cash value of the  m times  annuity  payments per year by the Woolhouse’s formula.  Moreover, in determining the commissioners reserves is also used commutation functions.
TEOREMA PAPPUS PADA ELIPS, PARABOLA DAN HIPERBOLA Ardiansyah Yan Hakim Nasution; Sri Gemawati; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
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Pappus theorem is  a  theorem that shows  collinearity of three points.  The three points are  the result of intersection lines  that  connects  any  six points. Any six points  are divided into  three points on a straight line and three points on another straight line. This paper  shows  that Pappus theorem  is  valid at  a  conic section  (ellips, parabola and hyperbola). The properties of  cross  ratio  are utilized to prove the validity of Pappus at the conic section.
SOLUSI POLINOMIAL TAYLOR DARI PERSAMAAN INTEGRAL VOLTERRA Nasution, Lisa Anna; Deswita, Leli; Lily, Endang
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
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We discuss a polynomial solution of linear and nonlinear Volterra integral equations by stating their solutions in the form of a Taylor series. Furthermore, the coefficients of the Taylor series are determined by solving a system of linear equation. Then by inserting these coefficients into the Taylor series, we obtained a polynomial solution of linear and nonlinear Volterra integral equations in a simple form.
MATRIKS REFLEKSIF TERGENERALISASI Hendra Maryulis; Sri Gemawati; Asli Sirait
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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In this article we discusses a generalized reflexive matrix A that has a relation PAQ A  and , PAQ A   , m n C A   where , n n C P   and m m C Q   are two generalized reflection  matrices. The  discussion was continued by discussing the properties of generalized reflexive matrix, namely orthogonal-L, orthogonal-R and the linear least squares problems whose coefficient matrix is of the form a generalized reflexive matrix.
TOTAL FENOLIK, FLAVONOID, DAN AKTIVITAS ANTIOKSIDAN PRODUK TEH HIJAU DAN TEH HITAM TANAMAN BANGUN-BANGUN (Coleus amboinicus) DENGAN PERLAKUAN ETT REMPAH-REMPAH Restauli Br Siburian; Christine Jose; Ganis Fia Kartika
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
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Coleus  amboinicus  is a plant with good antioxidant content . Antioxidants are very important  in preventing various diseases caused by free radicals.   The high antioxidant content of plant  C. amboinicus  potentially  used as raw material for making herbal tea products, such as  green tea and black tea. The objective of this research was to analyze the  total phenolics, flavonoids and antioxidant activity of green tea and black tea prepared from  C. amboinicus  plants with two different treatment, fermented plant extract (FPE) spice and control (water).  The results showed that the total phenolic and flavonoid content  of each  treatment  was different. The total phenolic content of control treatment and FPE spice green tea and black tea products  were  16,660 ± 0.251 mg AGE/g DW; 10.510 ± 0.737 mg AGE/g DW and 14,219 ± 0,198 mg AGE/g DW; 8.062 ± 0.334 mg AGE / g DW. Were  the total flavonoids treatment control and FPE spice green tea and black tea is 3.522 ± 0.077 mg CTE/g DW; 2.141 ± 0.104  mg CTE/g DW and 2.278 ± 0.057 mg CTE/g DW; 2.077 ± 0.044 mg CTE/g DW.  The content  of antioxidant activity by FTC method is highest shown  in the control treatme nt compared with ETT RR good green tea products and  black tea.  It can be concluded that green tea product of  C. amboinicus  is better  source of flavonoids, phenolics and antioxidant activity compared with the black tea product.
PEMANFAATAN LEMPUNG DESA GEMA TERAKTIVASI H2SO4 UNTUK PENINGKATAN MUTU MINYAK GORENG CURAH Simanjuntak, Martha Sari; Muchtar, Akmal; Sophia, Halida
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
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Clay from Gema Village, Kampar Regency, Riau Province has been applied as an adsorbent. The increase of clay’s adsortive capacity can be done by modification. This study was aimed to use the activated clay to improve the quality of bulk cooking oil. The adsorbent preparation was began with activation process by using 0,5 M H2SO4, for 3 hours, and stirring rate 500 rpm. Activated clay showed the increase the intensity of quartz and montmorillonit, and accompanied by the loss of muscovite and kaolinite. The parameters that were used in this study were peroxide value, acid value, water content, odor, and colour. Adsorption process was observed in 7 gram activated clay with various contact time (30, 60, 90, and 120 minutes), the results then compared with SNI 3741:2013. The obtained result showed that the activated clay 0,5 M H2SO4 was able to decrease the acid value, and water content, respectively 54,55%, 48,75% with 120 minute and 7 gram weight of activated clay, it was also able to decrease peroxide value 39,64% with 60 minute and 7 gram weight of activated clay, and the color of bulk cooking oil was more clear, but it’s smells like clay.
PEMANFAATAN LEMPUNG DESA GEMA TERAKTIVASI H 2SO 4 UNTUK PENINGKATAN KUALITAS AIR GAMBUT Vina Rotua; Akmal Muchtar; Halida Sophia
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
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Abstract

The clay found in Gema  Village, Kampar  Regency, Riau  Province  contains  many minerals, such as montmorillonite but it has a low surface area so need to do activation. The activator used in this study was  H2SO4 0,5 M solution. The adsorbent  was characterized by XRD, SEM and FT-IR. Activated Gema clay (LGT) and  unactivated Gema clay (LGTT) were applied for  purification a  peat water  using batch method with the  variation of  time 30, 60, 90 and 120 minute  and  several of water parameters were analized, such as odor, colour, pH, turbidity, TSS, TDS, concentrations of iron (Fe) and efficiency  of decreasing  of  colour. All the results  were compared  to  PERMENKES RI No. 416/MENKES/PER/IX/1990 “Tentang Syarat-Syarat Dan Pengawasan Kualitas Air”.  Activated  clay  showed the  refined morfology and increased which  surface area from 10,5813  m2g-1 up to 15,3337  m2g-1.  The  result  showed  that the  adsorption  using activated Gema clay is better than  unactivated Gema clay  that is showed from removal efficiency percentage for all parameters. The longer  of adsorption time, that was so many adsorbate that was adsorbed by adsorbent.  The maximum time  of  adsorption  was 120 minute. The  removal efficiency percentage  for pH, turbidity, TSS, TDS and efficiency of decreasing  of  colour were 10,03%, 30,98%, 58,59%, 59,28% and 30,84%, respectively for activated Gema clay (LGT).  The statistic result showed that the variation of adsorption time affect all parameters that  was  analyzed based on the analysis of variance (ANOVA) and Duncan’s test at α = 0,05.

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