Judul: Redesigning Proclamation Monument Complex  as Historical and Educational-based Park
Abstrak: Taman sejarah merupakan suatu bidang lanskap yang menghubungkan antara manusia dengan lingkungan dan memiliki dimensi waktu, dengan sejarah sebagai objek utamanya. Taman sejarah dibangun demi melestarikan warisan sejarah yang berada di lanskap tersebut, oleh sebab itu pelestarian lanskap sejarah sangat penting. Kompleks Tugu Proklamasi dahulunya merupakan halaman kediaman Ir. Soekarno, lokasi proklamasi kemerdekaan Indonesia pada tanggal 17 Agustus 1945 dibacakan. Kondisi taman yang kurang mencolok dan menyokong kebutuhan pengguna pada masa kini dapat menjadi salah satu alasan kurang populernya taman ini. Penelitian ini bertujuan untuk meredesain Kompleks Tugu Proklamasi sehingga dapat meningkatkan daya tarik, memberikan manfaat bagi lingkungan dan masyarakat, dan sekaligus menjadikan lanskap ini lanskap berkualitas yang berfungsi optimal terutama sebagai sarana edukasi dan sejarah. Proses analisis lewat survey lapang, kuesioner, dan wawancara dengan narasumber dilakukan untuk menentukan potensi dan kendala yang dapat ditemukan di taman serta elemen sejarah yang harus dipertahankan. Proses sintesis mentranslasi data yang dianalisis menjadi sebuah rumusan konsep dalam bentuk block plan. Hasil akhir dari penelitian ini adalah site plan yang dilengkapi oleh gambar potongan, perspektif, dan detil desain. Desain terdiri dari beberapa perubahan yang meliputi area penyambutan, area pelayanan, dan area penghijauan serta menambahkan fasilitas pengajaran yang diintegrasikan dengan teknologi., Historical garden is a field of landscape which connects between human and the environment and has time dimension, with history being the main object. Historical garden is built to conserve historical heritage in the landscape, which is why historical landscape conservation is vital. Proclamation Monument Complex was used to be residency of Ir. Soekarno’s, the location Indonesia’s declaration of independence in August 17, 1945 was proclaimed. The existing condition that lacks appeal and support to the needs of modern user could be the reason why the garden's popularity fell behind. The purpose of this study is to redesign Proclamation Monument Complex to increase its appeal, benefit the environment and society, and create a quality landscape which works optimally especially as a historical and educational tool. Analysis process using field survey, questionnaire, and interviews with experts is to determine potential and risk along with historical element that should be preserved. Synthesis process translates the analyzed data to a conceptual arrangement in the form of a block plan. The result of the study is a site plan with additional drawings which are intersection, perspective, and detailed design. The design comprises several alteration of the welcome area, service area, and planting area and adds learning facility which is integrated with technology.
Keyword: historical object conservation, historical park, park redesign

Judul: Landscape Redesign of Alun-alun Purworejo Through Historical and Cultural Approach
Abstrak: Alun-alun merupakan salah satu bentuk ruang terbuka hijau khas Indonesia yang berperan penting sebagai ruang sosio-kultural, ekologi, dan ekonomi masyarakat. Kenyataannya, beberapa alun-alun belum optimal memerankan fungsinya, salah satunya adalah Alun-alun Purworejo. Beberapa permasalahan pasca renovasi alun-alun ini yaitu kurangnya representasi desain terhadap sejarah-budaya, drainase buruk, dan masalah perawatan fasilitas. Di sisi lain, Alun-alun Purworejo merupakan lanskap sejarah yang khas dan perlu dilestarikan. Oleh karena itu, perlu adanya redesain lanskap yang mampu merefleksikan sejarah dan mengakomodasi budaya masyarakat. Penelitian ini bertujuan mengidentifikasi karakteristik dan elemen tapak; menganalisis potensi dan kendala tapak; dan membuat konsep dan desain alun-alun dengan pendekatan sejarah dan budaya. Penelitian ini menggunakan metode deskriptif mengacu pada tiga pendekatan yaitu fisik-biofisik, sosial, dan sejarah-budaya. Data diambil melalui kuesioner, wawancara, survei lapang dan studi pustaka. Konsep dasar yang dihasilkan adalah “Celebrating the Legacy of Our Purworejo” yang bermakna menciptakan Alun-alun Purworejo sebagai ruang terbuka publik yang mampu merangkul inklusivitas, meningkatkan kebanggaan dan identitas kota, melestarikan budaya, serta mengingatkan kembali sejarah Purworejo. Konsep desain “Pattern of Purworejo” yang diambil dari bentukan alami kearifan lokal, sejarah, dan budaya masyarakat Purworejo menjadi dasar dalam pengembangan konsep sehingga terbentuk tujuh ruang utama yaitu ruang hijau, inti, parkir, penerimaan, sosial-aktivitas, interpretasi, dan ruang landmark., The Alun-alun is a form of Indonesian green open space that plays an important role as a socio-cultural, ecological, and economic space for the community. In fact, several alun-aluns have not optimally played their functions, one of which is Alun-alun Purworejo. Some of the problems after the renovation of this square are the lack of design representation of the history-culture, poor drainage, and problems with maintaining facilities. On the other hand, Alun-alun Purworejo is a unique historical landscape and needs to be preserved. Therefore, it is necessary to redesign the landscape that is able to reflect the history and accommodate the culture of the people. This study aims to identify the characteristics and elements of the site; analyze the potential and constraints of the site; and make the concept and design of the square with a historical and cultural approach. This study uses a descriptive method referring to three approaches, namely physical-biophysical, social, and historical-cultural. Data were collected through questionnaires, interviews, field surveys and literature studies. The basic concept produced is "Celebrating the Legacy of Our Purworejo" which means creating Alun-alun Purworejo as a public open space that is able to embrace inclusiveness, increase the pride and identity of the city, preserve culture, and remind the history of Purworejo. The design concept of "Pattern of Purworejo" is taken from the natural formation of local wisdom, history, and culture of the Purworejo community as the basis for developing the concept so that seven main spaces are formed, namely green space, core, parking, reception, social-activity, interpretation, and landmark space.
Keyword: alun-alun, green open space, historical and cultural landscape, landscape redesign, Purworejo

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
Keyword: