INSTITUTE OF APPLIED MATHEMATICS

MSc with Thesis in Scientific Computing

  • Compulsory Courses

    Credit: 0(0-0); ECTS: 50.0

    The Program of research leading to M.S. degree arranged between the student and a faculty member. Students register to this course in all semesters while the research program or write up of thesis is in progress. Student must start registering to this course no later than the second semester of his/her M.S. study.

    See the course in IAM Catalogue or METU Catalogue

    Credit: 3(3-0); ECTS: 8.0

    Computer Arithmetic; Linear Equations: Gauss elimination, LU decomposition; Linear Least Squares: data fitting, normal equations, orthogonal transformations; Eigenvalue Problems; Singular Value Decomposition; Nonlinear Equations: bisection, fixed-point iteration, Newton’s method, optimization; Interpolation: polynomials, piecewise polynomials; Numerical Differentiation and Integration.

    See the course in IAM Catalogue or METU Catalogue

    Credit: 3(3-0); ECTS: 8.0

    Ordinary Differential Equations: Euler’s method, multistep methods, Runge-Kutta methods, stiff equations, adaptivity; Boundary Value Problems: shooting, collocation, Galerkin; Partial Differential Equations: parabolic, elliptic, and hyperbolic equations; Iterative Methods for Sparse Linear Systems: splitting methods, descent methods, conjugate gradients, preconditioners, multigrid methods.

    See the course in IAM Catalogue or METU Catalogue

    Credit: 3(3-0); ECTS: 8.0

    Unconstrained Optimization: steepest descent, line search methods, trust-region methods, conjugate gradient methods, Newton and quasi-Newton methods, large-scale unconstrained optimization, least-square problems; Theory of Constrained Optimization; Linear Programming: simplex method, interior point method; Quadratic Programming; Active Set Methods; Interior Point Methods; Penalty, Barrier and Augmented Lagrangian Methods; Sequential Quadratic Programming.

    See the course in IAM Catalogue or METU Catalogue

    Credit: 0(0-2); ECTS: 10.0

    This course is designed to provide students with a chance to prepare and present a professional seminar on subjects of their own choice.

    See the course in IAM Catalogue or METU Catalogue

    4 Elective Courses (Total 21 credits)

See IAM Catalogue for possible elective courses.

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