Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
BIOMEDICAL NUMERIC ANALYSIS BMM 514 0 3 + 0 3 6
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Doç.Dr. SEZGİN KAÇAR Dersi Verenler Dersin Yardımcıları Dersin Kategorisi Alanına Uygun Öğretim Dersin Amacı The aim of this course is to teach and employ using numerical analysis methods in solution of biomedical engineering problems to students. In addition, students use MATLAB software for solution numerical analysis methods. Dersin İçeriği Introduction to MATLAB, general usage and basic programming with MATLAB,graphic drawing in MATLAB, the concept of numerical analysis and errors, reminder matrix operations, solving of linear equations: Cramer method, Gauss-Jordan method, Gauss Elemination method, Solving of linear equations: Jacobbi, Gauss-Seidel method, Solving of non-linear equations: Bisection, Regula Falsi, Simple Iteration, Newton-Raphson, Secant methods, Solving of non-linear equation systems: Simple Iteration, Newton-Raphson methods,Interpolation methods: Lagrange polynomial , Newton-difference section, cubic-spline interpolation, extrapolation methods,Curve fitting: linear curve fitting by least squares methods, generalized curve fitting, non-linear curve fitting,Solving of differantial equations: Taylor series, Euler method, Runge-Kutta method, Numerical differentiation methods: reverse difference method, central difference method, forward difference method,Numerical integration methods: the rectangular method, Trapezoidal method, Simpson method,Eigenvalues and Eigenvectors finding methods: Jacobi transformation, QR-QL algorithm, triple diagonal matrices.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Make matrix operations and graphics in MATLAB 1 - 2 - 4 - 6 - A - F - 2 - Explain the basic functions of MATLAB 1 - 2 - 4 - 6 - A - F - 3 - Employ solving methods of linear and non-linear equations 1 - 2 - 4 - 6 - A - F - 4 - Understand and use the methods of numerical integral and differentiation 1 - 2 - 4 - 6 - A - F - 5 - Use concepts and methods of interpolation and curve fitting 1 - 2 - 4 - 6 - A - F - 6 - Perform analysis of differential equations 1 - 2 - 4 - 6 - A - F -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 4:Drilland Practice 6:Motivations to Show Ölçme Yöntemleri: A:Testing F:Performance Task
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