Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
4MTHM250Mathematical Methods in Engineering4+2+05721.10.2025

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Mechanical Engineering (English)
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course To be able to construct mathematical models of electrical engineering problems and to reinforce the use of differential equations in solving these problems, to teach linear transformation applications in problem solutions.
Course Content The physical meaning of differential equations The expression of transient events in electrical engineering by differential equations, state equations and stability. integral multiplier linear differential equations and their solution methods. Methods of method of exchange of constants and applications in electrical engineering. Periodic Functions, Single Function, Double Function Amplitude, Periodic Functions of Fourier Series, Expansion of Fourier Series at Any Range, Examples of Electrical Signals to Fourier Series, Laplace Transform, Meaning, Definition, Related Theorems, Sample Problem Solutions About theorems, Laplace Transform of Unit Function, Inverse Laplace Transform, Definition and related theorems, sample problems related to inverse Laplace transform, definition of circuit analysis problems in s-domain
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof.Dr. Güler Karapınar
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources K. Tas¸, J. A. T. Machado, ve D. Baleanu, Ed., Mathematical methods in engineering. Dordrecht, The Netherlands: Springer, 2007
Course Notes Lecture notes, presentation
Exams 1 arasınav, 6 adet final projesi

Course Category
Mathematics and Basic Sciences %50
Engineering %50

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 1 % 40
Practice 1 % 0
Final examination 1 % 60
Total
3
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 6 84
Hours for off-the-c.r.stud 14 4 56
Presentation 6 1 6
Mid-terms 1 4 4
Project 6 6 36
Final examination 1 1 1
Total Work Load   Number of ECTS Credits 7 187

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Explains the physical meaning of differential equations, recognizes the solution methods. Uses the Fourier Series.
2 Use Laplace transforms.
3 Apply differential equations to engineering
4 Applies Fourier Series in Engineering

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Physical meaning of differential equations
2 Solution methods of differential equations
3 Introduction to Fourier Series
4 Applications of Fourier Series I
5 Applications of Fourier Series II
6 Introduction to Laplace transforms
7 Applications of Laplace transforms I
8 Applications of Laplace transforms II
9 Engineering applications of differential equations I
10 Engineering applications of differential equations II
11 Fourier Series Engineering Applications I
12 Fourier Series Engineering Applications II
13 Engineering applications of Laplace transforms I
14 Engineering applications of Laplace transforms II

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All 5 5
C1 5 5
C2 5 5
C3 5 5
C4 5 5

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