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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
SCIENTIFIC COMPUTING BME523 ------- 3 + 0 10

TYPE OF COURSE UNITElective Course
LEVEL OF COURSE UNITMaster's Degree Without Thesis
YEAR OF STUDY-
SEMESTER-------
NUMBER OF ECTS CREDITS ALLOCATED10
NAME OF LECTURER(S)-
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Learn scientific computing basic principles in engineering problems.
2) Have an ability for commenting on error analysis and their results.
3) Formulate measurements that depend on physiological parameters in biomedical field.
4) Applying course units in homeworks on MATLAB or similar programs.
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONInterpolation and polynomial approximation, the divided differences, Hermit interpolation, polynomial numerical differentivation, curve fifting, Interpolation by spline functions, Richardson's extrapolation, Numerical Integraiton, Romberg integration, finite element method, finite difference method, boundary element method. MATLAB applications.
COURSE CONTENTS
WEEKTOPICS
1st Week Introduction. Approximations in scientific computing, computer arithmetics
2nd Week Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations
3rd Week Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations
4th Week Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations
5th Week Linear Least Squares Problems and Properties. Problem transformation, orthogonalization methods, singular value decomposition
6th Week Linear Least Squares Problems and Properties. Problem transformation, orthogonalization methods, singular value decomposition
7th Week Eigenvalue Problems. Eigenvalues nad eigenvectors, properties, problem transormations, eigenvalue and eigenvector calculations
8th Week Midterm Exam
9th Week Eigenvalue Problems. Eigenvalues nad eigenvectors, properties, problem transormations, eigenvalue and eigenvector calculations
10th Week Nonlinear Equations.Properties of nonlinear system, convergense rate, stopping criteria, nonlinear euations in one plane.
11th Week Nonlinear Equations.Properties of nonlinear system, convergense rate, stopping criteria, nonlinear euations in one plane.
12th Week Optimization. Optimization problems, properties, optimization in one plane, unconstrained optimization, constrained optimization
13th Week Optimization. Optimization problems, properties, optimization in one plane, unconstrained optimization, constrained optimization
14th Week Interpolation and Properties. Polinomial interpolation, piecewise polinomial interpolation
RECOMENDED OR REQUIRED READING(1)Scientific Computing, An Introductory Survey, Micheal T. Heath, 1997, McGraw-Hill Companies Inc.
(2)Steven C. Chapra ve Raymond P. Canale, Numerical Methods for Engineers (4th Edt.), 2002, McGraw-Hill Companies Inc
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Problem Solving
ASSESSMENT METHODS AND CRITERIA
 Quantity Percentage(%) Mid-term 1 35 Assignment 1 20 Total(%) 55 Contribution of In-term Studies to Overall Grade(%) 55 Contribution of Final Examination to Overall Grade(%) 45 Total(%) 100
Midterm exam17272
Preparation for Quiz11212
Individual or group work236
Preparation for Final exam12424
Course hours14342
Preparation for Midterm exam11111
Laboratory (including preparation)000
Final exam19696
Homework12424 