Judul: Pengembangan Produk Sormeal sebagai Pangan Fungsional
Abstrak: Sorgum merupakan tanaman serealia yang memiliki potensi untuk diolah menjadi alternatif panganan fungsional dan banyak dibudidayakan di beberapa daerah di Indonesia, namun belum banyak dimanfaatkan. Sorgum memiliki kandungan protein, serat, dan antioksidan cukup tinggi, kandungan lemak dan indeks glikemik lebih rendah daripada beras, jagung, dan gandum. Penelitian ini bertujuan untuk membuat prototipe produk Sormeal berbahan dasar biji sorgum dengan proses terpilih yang sesuai dengan penerimaan konsumen. Tahap pertama penelitian ini adalah pembuatan prototipe produk yang terdiri atas perlakuan perbedaan lama waktu penyosohan, dilanjutkan dengan proses perendaman, pengukusan, pemipihan, dan pengeringan. Tahap kedua adalah karakterisasi produk terpilih dan uji penerimaan konsumen berdasarkan hasil analisis ANOVA dan uji lanjutan Duncan’s Multiple Test. Proses pengolahan terpilih yaitu penyosohan selama 30 detik, perendaman selama 24 jam, pengukusan selama 45 menit, pemipihan, dan pengeringan menggunakan suhu 60 ºC selama 30 menit. Produk Sormeal memiliki keunggulan karena daya cerna pati yang rendah, daya ikat air dan minyak yang tinggi, dan kandungan antioksidan sebesar 0.05%.
Keyword: Product prototype, Selected processes decision, Sorghum, Product development, Market development, Penyosohan, Satake grain testing mill, Perendaman, Pemipihan, Pengeringan

Judul: Pengembangan Produk Sereal Sarapan Siap Santap Berbasis Sorgum (Sorghum bicolor L.) Dengan Metode Ekstrusi
Abstrak: Nutritious, easy and fast to serve breakfast cereal is becoming a solution for urban people which has less time in the morning due to early business. Endogenous cereal, such as sorgum, would become an alternative to flour to produce breakfast cereal, with its superiority as dry climate resistant plant and having sustainable production, so as to support national food security. With high flexibility, control, and production, twin-screw extrusion method was used to produce the breakfast cereal. The preliminary research determines materials that would be suitable to create acceptable texture, color, and taste of the extrudate. The main research showed the suitable amount of tapioca and emulsifier might be used to produce well-textured and preferable product. Product with 100% sorgum, 15% flour sugar, 10% cocoa powder, 4% vegetable oil, and 1% salt was the best to produce acceptable texture, color, and taste of the extrudate. Replacement of 10% sorgum with tapioca and the addition of 1% emulsifier resulted in preferable product in hedonic rating and best characteristic in physical analysis. Acceptance test to target consumer with different social-economy level was done, resulting in good response of the panelist toward the product. Feasibility study was also done to provide a reference if small-scale industry of the product might be feasible. With the period of 5 years project for the production level of 5.5 tones/month, the NPV value is Rp 30.413.824-, the IRR value is 14% (at discount rate of 13%), the net Benefit Cost Ratio is 1.01, and Payback Period at 4 years 25 days, so as to conclude that the project is feasible.
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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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