Judul: Identifikasi Perubahan Tutupan Lahan Menggunakan Citra Landsat di DAS Citarum Hulu
Abstrak: DAS Citarum merupakan DAS terbesar di Jawa Barat dengan luas 6614 km2. DAS Citarum Hulu terdapat Waduk Saguling untuk sarana pembangkit tenaga listrik namun pada wilayah ini mulai terjadi penurunan kualitas dan fungsi DAS yang diakibatkan oleh berkurangnya tutupan hutan. Tujuan penelitian adalah mengidentifikasi dan analisis perubahan penutupan lahan di wilayah DAS Citarum Hulu khususnya pada kawasan hutan pada periode waktu tahun 2001-2016. Data utama yang digunakan dalam penelitian ini adalah citra Landsat multi waktu rekaman tahun 2001, 2009, dan 2016. Selama kurun waktu 15 tahun wilayah DAS Citarum Hulu masing-masing kelas mengalami peningkatan dan penurunan luas. Pemukiman mengalami peningkatan terbesar diantara kelas lainnya sebesar 44 651.64 ha atau 19.13%. Perubahan tutupan lahan berupa hutan menjadi bukan hutan di kawasan hutan DAS Citarum Hulu terbesar terjadi di kawasan hutan produksi. Perubahan terbesar tersebut terjadi pada perode tahun 2009 sampai tahun 2016 yaitu hutan tanaman menjadi pertanian lahan kering sebesar 1470.50 ha atau 6.15% yang sebagian besar terjadi pada wilayah sub DAS Ciminyak khususnya di Kecamatan Gunung Halu.
Keyword: Citra landsat, DAS Citarum Hulu, Perubahan tutupan lahan

Judul: Perubahan Penutupan Lahan di DAS Citarum Hulu – Jawa Barat dengan Menggunakan Citra Satelit LANDSAT ETM+
Abstrak: Citarum Hulu watershed has an important function for the people such as, the hydroelectric power, agricultural irrigation, industry, and tourism for the people of West Java. Population growth and industrial development resulted in increasing the need for land. Utilization of land resources for development activities are affecting changes on forests and water catchment areas. The decreasing of forest has resulted in flood, reduced groundwater discharge, and increased critical areas. LANDSAT satellite is one of the satellites that can be used to monitor land cover and land use changes using instrument ETM+ (Enhanced Thematic Mapper) so we will know the land changes that occur in the Citarum Hulu watershed. This study aims to analyze the land cover and land use changes on forest cover particulary in Citarum Hulu watershed, West Java in years of 2001, 2006, and 2011 by using data satellite LANDSAT ETM+ image spatial resolution 30 m. The method used is the initial processing of the image, visual image interpretation, field observations, the determination of sample area, analysis contingency with transformed divergence method, supervised classification using the maximum likelihood method, analysis of accuracy test, reclassification, and analysis of land cover change. Land cover and land use of Citarum Hulu watershed can be classified into 12 classes of land cover and use, namely primary forest, secondary forest, plantations forest, scrub, farm, settlement, open land, dry land agriculture, mixed dry land agriculture, paddy fields and airport. In 2001, primary forest of Citarum Hulu watershed reaches down to 1.682,22 ha and 1.036,61 ha or about 0.28% in 2006. At the same time, the class of settlement increased from 38.807 ha in 2001 to 41.367,40 ha in 2006. Forest converted to rice fields, dry land agriculture, plantations forest, farm, and mixed dry land agriculture. Class open land has decreased in the period 2001-2011, amounting to 1241.10 ha or 0.534%. Decrease the amount of open land class area of land shown on Citarum Hulu watershed increasingly used by the public.
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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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