Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2EEE582AD.MATHEMATICS FOR ENGINEERS II3+0+03820.06.2026

 
Course Details
Language of Instruction English
Level of Course Unit Master's Degree
Department / Program ELECTRICAL AND ELECTRONICS ENGINEERING
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
Objectives of the Course The aim of this course is to teach advanced mathematical methods used in the solution of engineering problems and to equip students with both theoretical knowledge and practical skills in topics such as matrix theory, vector and tensor analysis, complex variable theory, conformal mappings, and integral theorems.
Course Content The course covers determinants and matrices, systems of linear equations, matrix differential equations, eigenvalue–eigenvector analysis, the Cayley–Hamilton theorem, and matrix functions. In addition, vector algebra, vector functions, gradient, divergence, and curl operators, as well as line, surface, and volume integrals and their associated integral theorems are studied. The course further introduces the fundamental concepts of tensor analysis, generalized coordinate systems, and their applications in engineering. Within the framework of complex variable theory, topics such as analytic functions, integration in the complex plane, Taylor and Laurent series, the residue theorem, evaluation of real definite integrals, stability criteria, and conformal mappings are examined. Practical applications aimed at solving engineering problems are also carried out throughout the course.
Course Methods and Techniques Lectures, Problem Solving, Modeling and Numerical Applications, Assignments
Prerequisites and co-requisities None
Course Coordinator Prof.Dr. ARİF NACAROĞLU https://eee.gantep.edu.tr/pages.php?url=akademik-personel-2 arif1@gantep.edu.tr
Name of Lecturers Prof.Dr. ARİF NACAROĞLU https://eee.gantep.edu.tr/pages.php?url=akademik-personel-2 arif1@gantep.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Main Textbook: C. Ray Wylie & Louis C. Barrett, Advanced Engineering Mathematics , 5th Edition, McGraw-Hill.
Course Notes Main Textbook: C. Ray Wylie & Louis C. Barrett, Advanced Engineering Mathematics , 5th Edition, McGraw-Hill.
Documents Dersin hocası tarafından sağlanmaktadır.
Assignments Dönem içerisinde verilebilmektedir.
Exams Klasik sınav yapılmaktadır.

Course Category
Mathematics and Basic Sciences %80
Engineering %20
Engineering Design %0
Social Sciences %0
Education %0
Science %0
Health %0
Field %0

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 2 % 40
Assignment 5 % 20
Final examination 1 % 40
Total
8
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly lecture hours 14 3 42
Reading Activities 14 4 56
Internet browsing, library work 4 3 12
Material design, application 5 5 25
Midterm and midterm exam preparation 2 30 60
Final exam and preparation for the final exam 1 35 35
Total Work Load   Number of ECTS Credits 8 230

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
Bilgi 
1 Determinantlar, matrisler, lineer denklem sistemleri ile diferansiyel denklemler ile ilgili temel ve ileri düzey problemleri çözebilir.
9 Kompleks değişkenli fonksiyonların özelliklerini analiz edebilir ve analitik fonksiyonlarla ilgili problemleri çözebilir.
10 Kompleks düzlemde integrasyon tekniklerini, Taylor ve Laurent serilerini kullanarak matematiksel ve mühendislik problemlerini çözebilir.
Beceri 
2 Özdeğer–özvektör analizini gerçekleştirerek fiziksel ve mühendislik sistemlerinin davranışlarını yorumlayabilir.
3 Cayley–Hamilton teoremi ve matris fonksiyonlarını kullanarak matematiksel modelleme problemlerini çözebilir.
4 Vektör cebiri ve vektör fonksiyonlarına ilişkin temel işlemleri uygulayabilir.
5 Gradyan, diverjans ve rotasyonel operatörlerini kullanarak skaler ve vektörel alanları analiz edebilir.
6 Çizgi, yüzey ve hacim integrallerini hesaplayabilir ve Green, Gauss ve Stokes teoremlerini mühendislik problemlerine uygulayabilir.
11 Rezidü teoremini kullanarak karmaşık integralleri ve belirli gerçek integralleri hesaplayabilir.
12 Kararlılık kriterlerini analiz ederek dinamik sistemlerin davranışlarını değerlendirebilir.
Yetkinlik 
7 Tensör analizinin temel kavramlarını açıklayabilir ve tensör gösterimlerini kullanabilir.
8 Genelleştirilmiş koordinat sistemlerini tanımlayabilir ve mühendislik uygulamalarında kullanabilir.
13 Konformal dönüşümleri açıklayabilir ve elektromanyetik alanlar, akışkanlar mekaniği ve benzeri mühendislik problemlerinde uygulayabilir.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Determinants and Matrices Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
2 Determinants and Matrices Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
3 Further Properties of Matrices Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
4 Further Properties of Matrices Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
5 Vector Analysis Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
6 Vector Analysis Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
7 Tensor Analysis Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
8 Tensor Analysis Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
9 Analytic Functions of a Complex Variable Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
10 Infinite Series in the Complex Plane Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
11 Theory of Residues Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
12 Theory of Residues Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
13 Conformal Mapping Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes
14 Conformal Mapping Pre-class preparation on the relevant topic through the course textbook and the instructor’s lecture notes. Course textbook and the instructor’s lecture notes

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4
All 4 5 4 3
In1 4 5 4 2
In9 5 5 4 3
In10 4 5 4 3
Sk2 3 4 4 2
Sk3 4 5 4 3
Sk4 4 5 4 3
Sk5 4 4 3 2
Sk6 4 4 4 3
Sk11 4 5 4 3
Sk12 4 5 4 3
Co7 4 5 4 4
Co8 5 5 5 4
Co13 5 5 5 4

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  https://obs.gantep.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=147956&lang=en