Judul: The Potential of SDGs Lake as an Irrigation Water  Source
Abstrak: Danau SDGs memiliki potensi dan dapat dimanfaatkan sebagai sumber air irigasi. Pemanfaatan air Danau dilakukan dengan konstruksi bangunan pengambilan (intake) sesuai dengan satuan kebutuhan air irigasi. Tujuan dari penelitian ini adalah mengetahui kapasitas tampungan dan kisaran volume Danau, menentukan kapasitas intake Danau untuk memenuhi kebutuhan air irigasi, dan merencanakan desain pintu intake. Metode yang digunakan yaitu pengukuran langsung dengan Echo Sounder untuk memperoleh kedalaman, analisis debit dengan neraca air FJ Mock, dan analisis kurva lengkung kapasitas Danau, dan penentuan dimensi pintu air sesuai dengan Kriteria Perencanaan Irigasi-09 tentang spesifikasi teknis pintu air. Volume kapasitas tampungan optimal Danau SDGs adalah ±1218.07 m3 dengan luas ±6000 m2 berada pada elevasi ±163.5 mdpl. Kapasitas intake yang diperoleh untuk debit pengambilan yaitu 0.002 samapi 0.011 m3/det dengan luas lahan yang dapat dipenuhi kebutuhan irigasi adalah 6.36 ha sampai 20.58 ha. Dimensi pintu intake yang digunakan yaitu tinggi 80 cm dan lebar 60 cm dengan pola operasi bukaan pintu adalah 2.7 cm sampai 16.83 cm untuk memenuhi kebutuhan irigasi yang optimal., SDGs Lake has the potential and can be utilized as a source of irrigation water. The utilization of the lake water is carried out through the construction of an intake structure according to the irrigation water requirement unit. The objectives of this research are to determine the storage capacity and volume range of the reservoir, to determine the intake capacity of the reservoir to meet the irrigation water needs, and to plan the design of the intake gate. The methods used include direct measurement with an Echo Sounder to obtain the depth, discharge analysis using the FJ Mock water balance, and analysis of the reservoir capacity curve, as well as determining the dimensions of the water gate according to planning irrigation criteria (09) about gate technical specification. The optimal storage capacity volume of the SDGs Reservoir is approximately 1218.07 m3 with an area of approximately 6000 m2 at an elevation of approximately 163.5 m above sea level. The obtained intake capacity for withdrawal discharge ranges from 0.002 to 0.011 m3/sec, with a land area that can meet the irrigation needs ranging from 6.36 ha to 20.58 ha. The dimensions of the intake gate used are a height of 80 cm and a width of 60 cm, with a gate opening operation pattern ranging from 2.7 cm to 16.83 cm to meet the optimal irrigation requirements.
Keyword: Discharge, FJ Mock, Gate, Intake, Reservoir

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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