
Description of Individual Course UnitsCourse Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  180102004101  ENGINEERING MATHEMATICS  Compulsory  1  2  4 
 Level of Course Unit  First Cycle  Objectives of the Course  The aim of this course is to explain some basic concepts of Mathematics and show how to use these concepts in solving certain types of problems which might possibly be encountered in many branches of science and engineering.  Name of Lecturer(s)  Dr.Öğr.Üyesi Züleyha BİNGÜL  Learning Outcomes  1  A student defines some mathematical concepts which are essential in his/her field  2  A student defines some mathematical concepts which are essential in his/her field  3  Interprets the relations between mathematical concepts  4  Interprets the relations between mathematical concepts  5  Apply mathematical relationships to solve problems.  6  Apply mathematical relationships to solve problems. 
 Mode of Delivery  Daytime Class  Prerequisites and corequisities  None  Recommended Optional Programme Components   Course Contents  Matrix and determinant operations, Solution of linear equation systems with matrix determinant approaches (Gauss, GaussJordan, Cramer, inverse matrix), vectors, vector operations, scalar and vector products of vectors, orthogonalorthonormal vectors, linear transformations, eigenvalues and eigenvectors of square matrix, the effect of eigenvalues  eigenvectors on linear system behavior, Algebra of complex numbers, polar representation of complex numbers, derivative of complex functions, analytic functions, CauchyRiemann equations,power series, Cauchy integral theorem,Cauchy integral formula, Taylor expansion, Laurent expansion, Residues, residual theorems. Generalized integrals.  Weekly Detailed Course Contents  
1  Matrix and determinant operations    2  Solution of linear equation systems with matrix determinant approaches(Gauss, GaussJordan, Cramer, inverse matrix),    3  Vectors, vector operations, scalar and vector products of vectors    4  orthogonalorthonormal vectors    5  linear transformations    6  Eigenvalues and eigenvectors of square matrix    7  The effect of eigenvalues  eigenvectors on linear system behavior    8  MidTerm Exam    9  Algebra of complex numbers, polar representation of complex numbers    10  Derivative of complex functions    11  Analytic functions, CauchyRiemann equations,power series    12  Cauchy integral theorem,Cauchy integral formula    13  Taylor expansion, Laurent expansion    14  Residues, residual theorems. Generalized integrals    15  Final Exam   
 Recommended or Required Reading  1Dursun Taşçı,Lineer Cebir
2 Aşkın Demirkol, Mühendisler İçin Lineer Sistemler Lineer Cebir  I ,
Sakarya Kitabevi, 2011.
3 Complex Variables and Their Applications, Addison Wesley, Anthony D.
Osborne, 1999.
4 Introduction to Complex Variables and Applications, R.V. Churchill,
McGrawHill, New York, 1996  Planned Learning Activities and Teaching Methods   Assessment Methods and Criteria  
Midterm Examination  1  100  SUM  100  
Final Examination  1  100  SUM  100  Term (or Year) Learning Activities  50  End Of Term (or Year) Learning Activities  50  SUM  100 
 Language of Instruction   Work Placement(s)  
 Workload Calculation 

Midterm Examination  1  2  2  Final Examination  1  1  1  Makeup Examination  1  2  2  Attending Lectures  12  6  72  Self Study  12  4  48  
Contribution of Learning Outcomes to Programme Outcomes  LO1  3  4  4  3  4  3  4  4  3  4  4  LO2  4  4  4  4  4  4  3  4  4  4  4  LO3  4  3  4  4  4  4  4  4  4  4  4  LO4             LO5             LO6            
 * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High 



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