Judul: Trench Dam Design for water needs of Permanent  Nursery IPB Dramaga University
Abstrak: Dam parit sebagai salah satu teknologi panen hujan dan aliran permukaan (rainfall and runoff harvesting) dapat memanen air hujan dan aliran permukaan sebagai dampak dari tidak meratanya curah hujan untuk setiap musim. Dam parit berfungsi dalam menahan dan membendung aliran air pada suatu aliran sungai/parit sehingga diperoleh cadangan air yang dapat dimanfaatkan untuk memenuhi kebutuhan irigasi sepanjang musim kemarau. Perencanaan dam parit bertujuan untuk memenuhi kebutuhan air pada Persemaian Permanen, Kampus IPB Dramaga. Prosedur kerja meliputi studi literatur, pengumpulan data primer dan sekunder, pengolahan data, dan perencanaan dimensi, analisis stabilitas, pembuatan gambar teknik dan perhitungan RAB. Debit banjir rencana dihitung menggunakan metode Haspers dan metode Passing Capacity. Dam parit direncanakan dari pasangan beton dengan tinggi bendung sebesar 2,1 m, jari-jari mercu bendung sebesar 0,44 m dan lebar bendung 7,825 m, panjang kolam loncat air sebesar 4,11 m. Dam parit memiliki keamanan terhadap kebutuhan stabilitas yang menjadi penyebab runtuhnya bangunan gravitasi yaitu geser (sliding), guling (overturning), dan erosi bawah tanah (piping). Rancangan Anggaran Biaya (RAB) yang dibutuhkan dalam konstruksi dam parit pada Persemaian Permanen IPB dramaga sebesar Rp. 342.000.000,00 (tiga ratus empat puluh dua juta rupiah)., Trench dam as rain and runoff harvesting technology can harvest rainwater and runoff as a result of the uneven rainfall for each season. Trench dam function to hold and stem the flow of water in a river/trough in order to obtain water reserves that can be used to meet irrigation needs throughout the dry season. The planning of the trench dam aims to meet the water needs of the Permanent Nursery, Dramaga Campus of IPB. Work procedures include literature study, primary and secondary data collection, data processing and dimensional planning, stability analysis, engineering drawings and cost budget design calculations. The planned flood discharge calculated by the Haspers method and the Passing Capacity method. The trench dam is planned from concrete pairs with a weir height of 2,1 m, a radius of dam crest of 0,44 m and a weir width of 7,825 m, a jump pool length of 4,11 m. The trench dam has safety against the need for stability that causes the collapse of gravity buildings, namely sliding, overturning, and underground erosion (piping). The Draft Budget (RAB) required for the construction of the trench dam in the Dramaga IPB Permanent Nursery is Rp. 342.000.000,00 (three hundred and forty two million rupiah).
Keyword: Design, Stability, Trench dam, Water

Judul: Perancangan Penggunaan Air Sungai Ciapus untuk Menyuplai Air Irigasi di Persemaian Permanen Dramaga Bogor
Abstrak: Air dan sistem penyiraman sangat berdampak dalam produksi bibit berkualitas di persemaian permanen. Persemaian Permanen Dramaga menggunakan dua sumur resapan yang diisi oleh air hujan, saat musim kemarau terjadi kekurangan air. Air sungai Ciapus dapat dimanfaatkan dengan menggunakan pompa hidram. Oleh karena itu, perlu dirancang bak penampung yang dapat menyimpan sementara air dari pompa dan menyuplai air secara kontinu. Penelitian ini bertujuan menentukan kebutuhan air irigasi, serta menentukan kapasitas dan menghasilkan rancangan bak penampung air di lokasi penelitian. Kebutuhan air diperoleh berdasarkan nilai defisit pada neraca air antara laju evapotranspirasi dengan laju curah hujan. Defisit air rata-rata pada periode kemarau tahun 2015 merupakan nilai yang tertinggi selama tahun 2003-2020, yakni sebesar 2,63 mm/hari. Berdasarkan nilai tersebut diperoleh kebutuhan air irigasi sebesar 15,78 m3/hari untuk lahan seluas 0,60 ha. Debit pemompaan berpotensi mengisi bak penampung selama waktu penyiraman. Kapasitas bak penampung didesain setengah dari kebutuhan air harian, yakni 7,89 m3, dan dibulatkan menjadi 8 m3. Bak penampung direncanakan menggunakan bahan panel fiberglass. Ukuran panjang, lebar dan tinggi bak penampung masing-masing sebesar 2 m., Water and irrigation systems have a major impact on the production of quality seedlings in permanent nurseries. The Dramaga Permanent Nursery uses two infiltration wells filled by rainwater, during dry season there is a shortage of water. Ciapus river water can be utilized by using a hydraulic ram pump. Therefore, it is necessary to design a reservoir to temporarily store water from the pump and to supply water continuously. The research aimed to determine the need for irrigation water, determine the capacity and produce a water reservoir design at the research site.Water requirement was obtained based on the deficit value in the water balance between evapotranspiration rate and rainfall rate. The average water deficit in the dry season in 2015 was the highest value during 2003-2020, which was 2,63 mm/day. Based on this value, the irrigation water requirement was 15,78 m3/day for an area of 0,60 ha. The pumping discharge had the potential to fill the reservoir during watering time. The designed reservoir capacity was half of the daily water requirement, which was 7,89 m3, and fulfilled to 8 m3. The reservoir was planned to use fiberglass panel material. The length, width, and height of the reservoir were 2 m each.
Keyword: evapotranspiration, fiberglass reservoir, irrigation, rainfall

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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