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: Design of a SDGs Lake Water Distribution System to Meet Irrigation Needs in the Education Garden of the Cikabayan Soil Science Department
Abstrak: Sumber daya air yang tersedia di Indonesia sangat melimpah, namun pemanfaatannya masih kurang. Kampus IPB Dramaga memiliki sumber daya air yang melimpah juga. Saat ini bagunan konservasi sumber daya air di Kampus IPB Dramaga belum dimanfaatkan dengan maksimal, salah satunya Danau SDGs. Untuk pemenuhan kebutuhan air tanam pada Kebun Pendidikan Departemen Ilmu Tanah Cikabayan, Danau SDGs dapat dimanfaatkan sebagai penyedia air irigasi. Penelitian ini bertujuan untuk merancang bak penampung air dan sistem penyaluran air dari Danau SDGs untuk penyediaan air irigasi di kebun pendidikan Departemen Ilmu Tanah Cikabayan. Dalam perancangan ini diperlukan kebutuhan irigasi. Kebutuhan air irigasi mempertimbangkan nilai defisit air rata-rata pada periode musim kemarau. Defisit rata-rata air tertinggi pada tahun 2015 sebesar 2,17 mm/hari, sehingga dibutuhkan air sebesar 2,49 mm/hari atau sebesar 69,9 m3/hari untuk lahan seluas 2,8 ha. Penyediaan air untuk irigasi ini menggunakan bak penampung air dengan kapasitas 72 m3. Penyaluran air menggunakan sistem perpipaan. Beda tinggi dari pompa ke bak penampung sebesar 15,472 m. sistem penyaluran air dengan sistem pemompaan denga pompa submersible. Debit operasional pompa sebesar 2,72 l/detik., Water resources available in Indonesia are very abundant, but its utilization is still lacking. The Dramaga IPB campus also has abundant water resources. Currently, the water resources conservation buildings at the Dramaga Campus of IPB have not been fully utilized, one of which is the SDGs lake. To meet the needs of planting water in the Educational Gardens of the Cikabayan Soil Science Department, SDGs lakes can be used as irrigation water providers. This study aims to design a water storage tank and water distribution system from the SDGs lake for irrigation water supply in the Cikabayan Department of Soil Sciences educational garden. In this design required the need for irrigation. The need for irrigation water considers the value of the average water deficit during the dry season. The highest average water deficit in 2015 was 2.17 mm/day, so that 2.49 mm/day or 69.9 m3/day of water is needed for an area of 2.8 ha. Water supply for irrigation uses a water storage tank with a capacity of 72 m3. Distribution of water using a piping system. The height difference from the pump to the reservoir is 15.472 m. water distribution system with a pumping system with a submersible pump. The pump operational debit is 2.72 l/second.
Keyword: irrigation, lake, pump, piping system, reservoirs

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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