Judul: Utilization of Geographic Information System for Mapping Flood  Prone Areas in Hulu Sungai Utara Regency, South Kalimantan
Abstrak: Bencana banjir dapat terjadi karena dipengaruhi oleh faktor alam dan faktor nonalam. Kabupaten Hulu Sungai Utara termasuk wilayah dengan potensi banjir yang cukup tinggi karena berada di dataran rendah. Tujuan penelitian ini adalah memetakan daerah rawan banjir dan mengidentifikasi daerah rawan serta risiko banjir di Kabupaten Hulu Sungai Utara. Metode yang digunakan dalam analisis kerawanan banjir adalah metode skoring dan pembobotan dengan bantuan sistem informasi geografis (SIG). Parameter kerawanan banjir yang digunakan yaitu curah hujan, kemiringan lereng, ketinggian lahan, penggunaan lahan, jenis tanah dan buffer sungai. Hasil penelitian menunjukkan wilayah Kabupaten Hulu Sungai Utara didominasi kelas kerawanan banjir kategori rendah seluas 41.310,67 ha (46,28%). Kelas kerawanan kategori tinggi dan sangat tinggi banyak terdapat di Kecamatan Babirik seluas 4.238,00 ha dan Kecamatan Paminggir seluas 651,34 ha. Tingkat risiko banjir di Kabupaten Hulu Sungai Utara sebagian besar masuk kategori sangat rendah seluas 53.363,24 ha (59,78%) yang didominasi Kecamatan Danau Panggang, Kecamatan Amuntai Selatan dan Kecamatan Paminggir., Flood disasters can occur because they are influenced by natural and nonnatural factors. Hulu Sungai Utara Regency is an area with a fairly high potential for flooding because it is located in the lowlands. The purpose of this study were to map flood-prone areas and identify flood-prone areas and risks in Hulu Sungai Utara Regency. The method used in the analysis of flood vulnerability is the method of scoring and weighting with the help of a geographic information system (GIS). The flood susceptibility parameters used are rainfall, slope, land height, land use, soil type and river buffer. The results showed that the area of North Hulu Sungai Regency was dominated by the low category of flood susceptibility class with an area of 41.310,67 ha (46,28%). The high and very high vulnerability classes are mostly found in Babirik District covering an area of 4.238,00 ha and Paminggir District covering an area of 651,34 ha. The flood risk level in Hulu Sungai Utara Regency is mostly in the very low category, covering an area of 53.363,24 ha (59,78%) which is dominated by Danau Panggang District, South Amuntai District and Paminggir District.
Keyword: flood, mapping, prone, risk

Judul: Analysis of Flood Prone Areas in the Krukut Watershed Based on Geographical Information Systems
Abstrak: Indonesia merupakan negara yang sering mengalami bencana alam seperti banjir. Banjir dapat berdampak pada kehidupan sosial, ekonomi, kerusakan material, kerusakan lingkungan dan kerusakan warisan budaya. Penanggulangan banjir perlu dilakukan untuk mengurangi dampak banjir yang begitu merugikan. Penanggulangan banjir dapat dilakukan dengan memetakan daerah rawan banjir dengan kajian Sistem Informasi Geografis (SIG) menggunakan perangkat lunak ArcGIS. Metode penelitian berupa metode deskriptif yang terdiri dari pengumpulan data, pengolahan data awal dan data lanjutan. Proses identifikasi wilayah rawan banjir menggunakan metode skor (scoring). Faktor yang mempengaruhi kerawanan adalah faktor curah hujan, kemiringan lereng, sungai dan tutupan lahan, jenis tanah dan ketinggian lahan. Berdasarkan hasil skor, Jakarta Pusat memiliki kelas kerawanan banjir kategori rendah seluas 846.03 ha (17.89%), kelas kerawanan banjir sedang seluas 3886.17 ha (82.11%). Jakarta Selatan memiliki kelas kerawanan banjir rendah seluas 4920.99 ha (35.67%) dan kelas kerawanan banjir sedang seluas 8874.90 ha (64.33%)., Indonesia is a country that often experiences natural disasters such as floods. Floods can have an impact on social, economic life, material damage, environmental damage, and damage to cultural heritage. Flood countermeasures need to be done to reduce the adverse effects of flooding. Flood countermeasures can be done by mapping flood-prone areas using Geographic Information System (GIS) of ArcGIS software. The research method is a descriptive method consisting of data collection, initial data processing, and advanced data. The process of identifying flood-prone areas uses the scoring method. Factors that influence vulnerability are rainfall, slope, river and land cover, soil type, and land elevation. From scoring result, Central Jakarta has a moderate category of flood hazard category was 846.03 ha (17.89%), and a high flood hazard class was 3886.17 ha (82.11%) . South Jakart has a low flood hazard class in South Jakarta is 4920.99 ha (35.67%), and the moderate flood hazard class is 8874.90 ha (64.33%).
Keyword: Arcgis, food prone, GIS, overlay

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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