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: Perancangan Pompa Hidram Penyalur Air Embung SDGs  Sebagai Penyedia Air Lahan Penelitian Cikabayan
Abstrak: Kebutuhan air irigasi pada lahan pertanian yang elevasinya lebih tinggi dari pada sumber air pasti membutuhkan pompa sebagai tenaga pengalirannya, salah satu pompa yang hemat energi adalah pompa hidram yang mengubah energi jatuh air menjadi energi penggerak pompa. Bangunan pelimpas embung SDGs memiilki tinggi jatuh air yang dapat dimanfaatkan pompa hidram untuk mengaliri lahan pertanian Cikabayan, sehingga diperlukan rancangan pengaliran air dari saluran pelimpas menuju lahan pertanian cikabayan dengan memanfaatkan pompa hidram. Hasilnya didapatkan kebutuhan air irigasi adalah 1,08 lt/det dan dipilih pompa hidram dengan debit 1,04 lt/det, debit pemompaan tidak berbeda jauh dari kebutuhan air irigasi dan dapat bertambah karena rasio tinggi jatuh dan angkat yang direncanakan masih lebih kecil dari pada tabel estimasi debit pemompaan. Perhitungan nilai head loss dari statis dan dinamis dari pompa hidram menuju reservoir terdapat head loss total sebesar 15,91 m sehingga lebih kecil dari pada rencana pemompaan yaitu 25 m dan pompa hidram dapat dijalan kan sesuai kebutuhan air lahan pertanian Cikabayan, The need for irrigation water on agricultural land whose elevation is higher than the water source definitely requires a pump as a drainage power, one of the energy-efficient pumps is a hydraulic pump that converts the energy of falling water into pump driving energy.. The SDGs reservoir spillway building has a high water fall that can be used by hydraulic pumps to drain Cikabayan agricultural land, so a design is needed to drain water from the spillway to Cikabayan agricultural land by utilizing a hydraulic pump. The result was that the irrigation water requirement was 1.08 lt/sec and a hydraulic pump with a discharge of 1.04 lt / sec was selected, the pumping discharge did not differ much from the irrigation water requirement and could increase because the ratio of falling height and planned lifting was still smaller than the pumping discharge estimation table. The calculation of the head loss value from static and dynamic from the hydraulic pump to the reservoir has a total head loss of 15.91 m so that it is smaller than the pumping plan, which is 25 m and the hydraulic pump can be run according to the water needs of Cikabayan agricultural land
Keyword: head loss, irrigation, hydraulic pump

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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