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HBM 511
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Course Information
Course Name
Turkish
Bilimsel Hesaplama I
English
Scientific Computing I
Course Code
HBM 511
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
1
3
3


Course Language
Turkish
Course Coordinator
Süha Tuna
Course Objectives
Finite arithmetic, errors, problem conditions, stability of algorithms, computing with machine numbers, vector and matrix spaces, linear equation systems, gaussian elimination, pivoting, LU and Cholesky decomposition, givens rotations, singular value decomposition, QR decomposition, gramschmidt orthogonalization, eigenvalue problem and its numerical solutions, singular value decomposition, numerical solution methods for linear equation systems, Krylov subspace methods.
Course Description

Course Outcomes
M.Sc. students who successfully pass this course gain knowledge, skills and competency in the following subjects;
1. Have advanced knowledge of number representation on the computer
2. To have knowledge about the properties of computational problems
3. Having information about the stability and convergence rates of algorithms
4. To have knowledge and application details on linear algebra and systems of linear equations
5. Ability to analyze and improve given numerical algorithms
6. To have knowledge about eigenvalue problem and its numerical solutions
7. To have theoretical and practical knowledge about iterative methods for numerical solutions of linear equation systems.
Prerequisite(s)
Required Facilities
Other
Textbook
1) W. Gander, M. J. Gander, F. Kwok, (2014) “Scientific Computing”, Springer.
2) A. Tveito, H. P. Langtangen, B. F. Nielsen, X. Cai (2010) “Elements of Scientific Computing”, Springer.
3) G. Strang (2007) “Computational Science and Engineering”, Cambridge University Press.
4) L. N. Trefethen, D. Bau Ill (1997) “Numerical Linear Algebra”, SIAM.
5) R. L. Burden, J. D. Faires (2017) “Numerical Analysis 9th Edn”, Brooks/Cole.
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