INDUSTRIAL ENGINEERING (ENGLISH, THESIS)
Master	TR-NQF-HE: Level 7	QF-EHEA: Second Cycle	EQF-LLL: Level 7

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MAT5101	Engineering Mathematics	Fall	3	0	3	8

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	Turkish
Type of course:	Departmental Elective
Course Level:
Mode of Delivery:	Face to face
Course Coordinator :	Prof. Dr. MESUT EROL SEZER
Course Lecturer(s):	Dr. Öğr. Üyesi CAVİT FATİH KÜÇÜKTEZCAN
Recommended Optional Program Components:	None
Course Objectives:	To equip the student with advanced topics of vector calculus and complex calculus.

Learning Outcomes

The students who have succeeded in this course;
The student will be able to understand differences and similarities of fundamental mathematical concepts as they apply to functions of a single variable or several variables, and to apply concepts of advanced calculus and complex calculus to engineering problems

Course Content

Vector differential and integral calculus, and applications. Complex calculus and applications. Fourier series and Fourier transform.

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Review of single-variable calculus.
2)	Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian.
3)	Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative.
4)	Maxima and minima, Lagrange multipliers.
5)	Multiple integrals. Line integrals, Green's theorem.
6)	Surface integrals, the divergence theorem, Stoke's theorem.
7)	Cylindrical and spherical coordinates.
8)	Applications of vector calculus.
9)	Functions of a complex variable. Continuity and differentiation.
10)	Complex integration. Cauchy's theorem and integral formula.
11)	Taylor and Laurent series. Poles and residues.
12)	Conformal mapping and applications.
13)	Fourier series.
14)	Fourier transform.

Sources

Course Notes / Textbooks:
References:	1. D. Bachman, Advanced Calculus Demystified, McGraw-Hill, 2007. 2. F. J. Flanigan, Complex Variables, Dover, 1983.

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Attendance	15	% 15
Homework Assignments	5	% 15
Midterms	1	% 30
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Study Hours Out of Class	14	7	98
Homework Assignments	5	5	25
Midterms	1	10	10
Final	1	15	15
Total Workload			190

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Process view and analytic thinking
2)	managerial thinking with technical background
3)	To have theoretical knowledge on operations research.
4)	Awareness about the applications of operations research
5)	To have ability of selection and efficient use of modern techniques, equipments and information technologies for industrial engineering
6)	To be capable of designing and conducting experiments and collecting data, analyzing and interpreting results
7)	To have verbal and oral effective communication skills by using visual methods in Turkish and English
8)	To be aware of entrepreneurship, sustainability and innovation
9)	To lead disciplinary and multi-disciplinary teams, to develop solution approaches in complex situations, to work individually and to take responsibility.
10)	To have conscious of professional and ethical responsibility
11)	To have conscious of necessity to lifelong learning
12)	To be aware of economic and legal implications of engineering solutions
13)	Economic, social and environmental responsibility while solving management problems