Iğdır University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
180103002100	ENGINEERING MATHEMATICS	Compulsory	1	2	5

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)

Doç. Dr. Züleyha REÇBER

Learning Outcomes

1	A student defines some mathematical concepts which are essential in his/her field
2	Interprets the relations between mathematical concepts
3	Apply mathematical relationships to solve problems.

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

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

Week	Theoretical	Practice	Laboratory
1	Matrix and determinant operations
2	Solution of linear equation systems with matrix determinant approaches (Gauss, Gauss-Jordan, Cramer, inverse matrix)
3	Vectors, vector operations, scalar and vector products of vectors
4	Orthogonal-orthonormal vectors
5	Linear transformations
6	Eigenvalues and eigenvectors of square matrix
7	The effect of eigenvalues - eigenvectors on linear system behavior
8	Mid-Term Exam
9	Algebra of complex numbers, polar representation of complex numbers
10	Derivative of complex functions
11	Analytic functions, Cauchy-Riemann 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

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 Activities	Quantity	Weight
Midterm Examination	2	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	2	2
Attending Lectures	14	3	42
Question-Answer	14	3	42
Individual Study for Mid term Examination	1	30	30
Individual Study for Final Examination	1	40	40
TOTAL WORKLOAD (hours)			157

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	PO 12	PO 13	PO 14
LO1	4	4	4	4	4	4	4	4	4	4	4	4	4	4
LO2	4	4	4	4	4	4	4	4	4	4	4	4	4	4
LO3	4	4	4	4	4	4	4	4	4	4	4	4	4	4

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High