Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
180102004101ENGINEERING MATHEMATICSCompulsory245
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
1A student defines some mathematical concepts which are essential in his/her field
2A student defines some mathematical concepts which are essential in his/her field
3Interprets the relations between mathematical concepts
4Interprets the relations between mathematical concepts
5Apply mathematical relationships to solve problems.
6Apply mathematical relationships to solve problems.
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
None
Recommended Optional Programme Components
Course Contents
Matrix and determinant operations, Solution of linear equation systems with matrix determinant approaches (Gauss, Gauss-Jordan, Cramer, inverse matrix), vectors, vector operations, scalar and vector products of vectors, orthogonal-orthonormal 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, Cauchy-Riemann equations,power series, Cauchy integral theorem,Cauchy integral formula, Taylor expansion, Laurent expansion, Residues, residual theorems. Generalized integrals.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Matrix and determinant operations
2Solution of linear equation systems with matrix determinant approaches(Gauss, Gauss-Jordan, Cramer, inverse matrix),
3Vectors, vector operations, scalar and vector products of vectors
4orthogonal-orthonormal vectors
5linear transformations
6Eigenvalues and eigenvectors of square matrix
7The effect of eigenvalues - eigenvectors on linear system behavior
8Mid-Term Exam
9Algebra of complex numbers, polar representation of complex numbers
10Derivative of complex functions
11Analytic functions, Cauchy-Riemann equations,power series
12Cauchy integral theorem,Cauchy integral formula
13Taylor expansion, Laurent expansion
14Residues, residual theorems. Generalized integrals
15Final Exam
Recommended or Required Reading
1-Dursun 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, McGraw-Hill, New York, 1996
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities50
End Of Term (or Year) Learning Activities50
SUM100
Language of Instruction
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination111
Makeup Examination122
Attending Lectures12672
Self Study12784
TOTAL WORKLOAD (hours)161
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
LO134434344344
LO244444434444
LO343444444444
LO4           
LO5           
LO6           
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr