COURSE UNIT TITLE  COURSE UNIT CODE  SEMESTER  THEORY + PRACTICE (Hour)  ECTS 
SCIENTIFIC COMPUTING 
BME523 
Program Course ListProgram Course ListProgram Course List 
3 + 0 
10 
TYPE OF COURSE UNIT  Elective Course 
LEVEL OF COURSE UNIT  Master's Degree With Thesis 
YEAR OF STUDY   
SEMESTER  Program Course ListProgram Course ListProgram Course List 
NUMBER OF ECTS CREDITS ALLOCATED  10 
NAME OF LECTURER(S)  Assistant Professor Hüseyin Kurtuldu

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 DELIVERY  Face to face 
PREREQUISITES OF THE COURSE  No 
RECOMMENDED OPTIONAL PROGRAMME COMPONENT  None 
COURSE CONTENTS  WEEK  TOPICS 

1^{st} Week  Introduction. Approximations in scientific computing, computer arithmetics  2^{nd} Week  Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations  3^{rd} Week  Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations  4^{th} Week  Linear Equations. Linear system properties, sensitivity, solving linear systems, special types of linear sysems,iterative methods used in solving linear equations  5^{th} Week  Linear Least Squares Problems and Properties. Problem transformation, orthogonalization methods, singular value decomposition  6^{th} Week  Linear Least Squares Problems and Properties. Problem transformation, orthogonalization methods, singular value decomposition  7^{th} Week  Eigenvalue Problems. Eigenvalues nad eigenvectors, properties, problem transormations, eigenvalue and eigenvector calculations  8^{th} Week  Midterm Exam  9^{th} Week  Eigenvalue Problems. Eigenvalues nad eigenvectors, properties, problem transormations, eigenvalue and eigenvector calculations  10^{th} Week  Nonlinear Equations.Properties of nonlinear system, convergense rate, stopping criteria, nonlinear euations in one plane.  11^{th} Week  Nonlinear Equations.Properties of nonlinear system, convergense rate, stopping criteria, nonlinear euations in one plane.  12^{th} Week  Optimization. Optimization problems, properties, optimization in one plane, unconstrained optimization, constrained optimization  13^{th} Week  Optimization. Optimization problems, properties, optimization in one plane, unconstrained optimization, constrained optimization  14^{th} Week  Interpolation and Properties. Polinomial interpolation, piecewise polinomial interpolation 

RECOMENDED OR REQUIRED READING  (1)Scientific Computing, An Introductory Survey, Micheal T. Heath, 1997, McGrawHill Companies Inc. (2)Steven C. Chapra ve Raymond P. Canale, Numerical Methods for Engineers (4th Edt.), 2002, McGrawHill Companies Inc

PLANNED LEARNING ACTIVITIES AND TEACHING METHODS  Lecture,Problem Solving 
ASSESSMENT METHODS AND CRITERIA   Quantity  Percentage(%) 

Midterm  1  35  Assignment  1  20  Total(%)   55  Contribution of Interm Studies to Overall Grade(%)   55  Contribution of Final Examination to Overall Grade(%)   45  Total(%)   100 

LANGUAGE OF INSTRUCTION  Turkish 
WORK PLACEMENT(S)  No 
 
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO) 
 LO1  LO2  LO3  LO4  K1   X  X   K2   X  X  X  K3   X  X   K4    X   K5    X   K6      K7  X  X  X   K8    X   