Judul: Analisis Kebutuhan dan Ketersediaan Air Untuk Industri Besar di Kota Tangerang,
Abstrak: Water is one of the main requirements for production process and other activities in the industry. Actually, industries required water supply with certain qualities as well as its quantity and continuity to support production process. Utilization of water resources must be done wisely, to keep environmental equilibre. This study was conducted in March-May 2014 in Tangerang City, Banten Province. This research identified the use of water in industry and analysis of industry supply and the demand of water in the city of Tangerang using regression methods. This research needed data of industrial water usage, amount of worker and production total. Water availability data were obtained from the "Balai Besar Wilayah Sungai Ciliwung Cisadane". Based on Batu Beulah Station, the average discharge of Cisadane river was 68.47 m3/s, and groundwater potential was 3.21 m3/s. According to regulation 21% of surface water and 20% of groundwater can be used for industrial activities, so total availability of water in Tangerang City was 481,308,739 m3/year. It meaned that water availability in Tangerang could support 487 big industries. Result analysis showed that based on industrial growth rate Tangerang City will have 487 industries in 2073.
Keyword: groundwater, surface water, water supply, water demand, big industry

Judul: Analisis Kebutuhan dan Ketersediaan Air Baku di Kabupaten Tangerang.
Abstrak: Water is one of the basic necessities of human beings to make life and increase their welfare. Indonesia is located in the tropics and have raw water availability. Drought-prone was one problem in the raw water supply as a result of the uneven distribution of water in the region of Indonesia. Tangerang Regency is one of the areas of Indonesia's Banten Province has its challenges in the future to meet the needs of the raw water, due to the increasing population and decreasing ability of the environment both in quality and quantity in the raw water supply. This research aims to know the needs and availability of raw water in the near future. Water demand was analyzed by exponential approximation is a method, and water availability was analyzed based on linear equations obtained from linear regression using Microsoft Excel 2007. Water requirements were analyzed based on demand, such as the water needs for domestic, non-domestic, industrial, fisheries, livestock and irrigation. From the results obtained that level of water needs from 2010 to 2030 as a whole has increased, which for 2010 of 71,61 m3/sec, 2015 amounting to 72,86 m3/sec, by 2020 of 76,24 m3/sec, 2025 of 82,75 m3/sec, and 2030 of 95,35 m3/sec. While the total availability of water from 2010 to 2030 from water source river and groundwater degradation, which in 2010 of 143,17 m3/sec, 2015 amounting to 127,28 m3/sec, by 2020 of 114,02 m3/sec, 2025 of 100,75 m3/sec, and 2030 of 87,50 m3/sec. By 2030 water availability can’t meet water demand, with a water deficit -7,85 m3/sec.
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Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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