Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
1EEE581AD.MATHEMATICS FOR ENG. I3+0+03620.06.2026

 
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 required for modeling and solving complex problems in engineering and science. Within this scope, students are expected to gain in-depth knowledge and practical skills in the analytical solutions of first- and higher-order differential equations, the modeling of engineering systems (mechanical and electrical), numerical methods such as numerical differentiation and integration, the use of partial differential equations, and special functions such as Bessel and Legendre functions.
Course Content First-Order Ordinary Differential Equations, Higher-Order Linear Differential Equations, Euler–Cauchy Equations, Series Solutions of Differential Equations, Power Series, Ordinary and Singular Points, Series Solutions by the Frobenius Method, Laplace Transforms, Numerical Methods, Taylor Series Method, Finite Differences, Difference Operators, Interpolation Formulas, Numerical Differentiation and Numerical Integration Techniques, Difference Equations, Partial Differential Equations, Introduction to Partial Differential Equations and the Method of Separation of Variables, Special Functions, Bessel Functions and Legendre Polynomials, Mathematical Modeling of Mechanical and Electrical Systems.
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 C. Ray Wylie & Louis C. Barrett, "Advanced Engineering Mathematics", 5th Edition (Fifth Edition), McGraw-Hill
Course Notes Main Textbook: C. Ray Wylie & Louis C. Barrett, Advanced Engineering Mathematics , 5th Edition, McGraw-Hill.
Lecture Notes: Handwritten lecture notes prepared by the instructor, covering the core course content (Chapters 1, 2, 5, 6, 9, and 10).
Supplementary Materials: Worked examples and practice problem sets used in class to reinforce advanced mathematics topics such as differential equations, Laplace transforms, and numerical methods.
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 3 42
Internet browsing, library work 4 3 12
Material design, application 5 3 15
Midterm and midterm exam preparation 2 20 40
Final exam and preparation for the final exam 1 25 25
Total Work Load   Number of ECTS Credits 6 176

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
Bilgi 
7 Explains the properties of Bessel functions and Legendre polynomials and solves advanced mathematical problems involving these functions.
Beceri 
1 Classifies first-order and higher-order ordinary differential equations and solves them using appropriate analytical methods.
2 Models engineering problems involving mechanical and electrical systems by formulating the corresponding mathematical equations.
3 Applies power series methods to solve differential equations, identifies ordinary and singular points, and obtains series solutions using the Frobenius method.
4 Analyzes ordinary differential equations and systems of linear equations using Laplace transform and inverse Laplace transform techniques.
5 Applies numerical analysis techniques, such as the Taylor series method, finite differences, numerical differentiation, and numerical integration, to computational engineering problems.
6 Analyzes partial differential equations using the method of separation of variables and solves boundary value problems.
Yetkinlik 
8 Interprets the existence and uniqueness conditions of differential equation solutions within a theoretical framework.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Classification of Differential Equations 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 First-Order Differential Equations 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 Linear Differential Equations and Their Applications 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 Higher-Order Differential Equations 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 Nonhomogeneous Differential Equations 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 Series Solutions of Differential Equations 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 Frobenius Method 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 Laplace Transforms 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 Inverse Laplace Transforms 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 Finite Differences 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 Numerical Methods 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 Mathematical Modeling Studies 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 Partial Differential Equations 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 Special Functions 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 5 4 2 2
In7 5 4 3 2
Sk1 5 4 2 2
Sk2 5 4 2 2
Sk3 3 5 5 3
Sk4 5 4 2 2
Sk5 5 4 1 2
Sk6 4 3 1 3
Co8 4 2 1 3

  bbb

  
  https://obs.gantep.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=147915&lang=en