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The Ph.D. program in Civil Engineering aims to promote advanced research to address local and global problems. The course work comprises elective courses for a total of at least 24 credits. Students who successfully complete the course work must take and pass a qualifying exam before starting their thesis research under the supervision of a faculty member. Doctoral dissertations must be submitted to and defended in front of a jury consisting of experts in the relevant area.” First Semester Cr.* Ects -- -- Specified Elective ** 3 7,5 CE -- Departmental Elective 3 7,5 -- -- Elective Course 3 7,5 -- -- Elective Course 3 7,5 12 30 Second Semester Cr. Ects CE -- Departmental Elective 3 7 -- -- Elective Course 3 7 -- -- Elective Course 3 7,5 -- -- Elective Course 3 7.5 CE 700 Graduate Seminar 0 1 12 30 Cr. ECTS -- -- Qualifying Exam*** 0 30 -- -- Thesis Proposal Defense 0 30 CE 790 PhD Thesis**** 0 120 Total 0 180. * ECTS and credit hours specified are the minimum required values. ** ‘CE 503 Mathematical Methods in Engineering’ is required for all doctoral students; if this course was completed during a student’s MSc studies, another elective course, including CE 699, may be chosen to fulfill the ‘Restricted Elective’ requirement. *** Qualifying Exams are conducted in accordance with the rules and regulations specified by the Department and announced before each exam. **** Additional requirement for graduation: An article related to doctoral studies published (or accepted for publication) in a scientific journal indexed by SCIE/SSCI. CE 501 The Boundary Element Method (3+0+0) 3 ECTS 8 (S?n?r Elemanlar? Yontemi) Green's functions; the BEM for Laplace's equation; constant, linear and higher order elements; numerical analysis and integration; application to ground water flows; Poisson's equation, Monte Carlo integration; methods for the transformation of domain integrals to boundary integrals, particular solutions, Galerkin vector approach, multiple reciprocity, Fourier expansions; the dual reciprocity method, application to convective problems, Helmholtz equation, Burger's equation and the Navier-Stokes equation. CE 503 Mathematical Methods in Engineering (4+0+0) 4 ECTS 10 (Muhendislikte Matematik Yontemler) Mathematical and experimental modeling in engineering. Tensor analysis. Güncel ve Güvenilir: Güncel giriş ahşap adresi, TRWin’in güvenilirliğini ve güncelliğini yansıtır.