

Course Information
Course Unit Title 
: 
Engineering Mathematics 
Course Unit Code 
: 
01INS5101 
Type of Course Unit 
: 
Optional 
Level of Course Unit

: 
Second Cycle 
Year of Study

: 
1 
Semester

: 
1.Semester 
Number of ECTS Credits Allocated

: 
6,00 
Name of Lecturer(s) 
: 

Course Assistants 
: 

Learning Outcomes of The Course Unit 
: 
1.Understanding introduction to differential equations system, fundamental concepts and definitions 2. Understanding Fourier series 3.Understanding solution of differential equations by using series 4. Understanding Laplace transformation and its applications

Mode of Delivery 
: 
FaceToFace

Prerequisities and Corequisities Courses 
: 
Unavailable

Recommended Optional Programme Components 
: 
Unavailable

Course Contents 
: 
Differential equations system, fundamental concepts and definitions, Fourier series, Solution of differential equations by using series, Laplace transformation and its applications

Languages of Instruction 
: 
Turkish

Course Goals 
: 

Course Aims 
: 
Engineering mathematics is an essential engineering course for the whole of post graduate students. The aim of this course is to provide solutions for practical engineering problems beginning with the mathematical modeling. To this end, necessary methods for solutions of problems intended for engineering applications will propound in a definite systematic for to produce solutions devoted to the necessary application and to obtain new results for similar cases by students.

WorkPlacement 

Not Available


Recommended or Required Reading
Textbook

: 
Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

Additional Resources

: 
1. Kreyszig, E., Advanced Engineering Mathematics, 5th Edition, John Wiley & Sons, New York, 1983. 2. Ross, S. L., Differential Equations, Blaisdell Publishing Company, Waltham ? Massachusetts, 1964. 3. Tenenbaum, M., Pollard, H., Ordinary Differential Equations, Dover Publications, 1963. 4. Problems of Elementary Differential Equations (Krasnov ML, Kiselyov AI and Makarenko GI) 1978 (in Russsian) 5. Guide of High Mathematics (Halilov H) 2001 (in Turkish) 6. Natanson I.P. Short course of higher mathematics, Moscow, Nauka, 1968 (in Russian)

Material Sharing
Documents

: 


Assignments

: 


Exams

: 
EN VizeFinal

Additional Material

: 
EN BÜtünleme


Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)


ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.

Activity

:


Course Duration (Excluding Exam Week)

:


Time Of Studying Out Of Class

:


Homeworks

:


Presentation

:


Project

:


Lab Study

:


Field Study

:


Visas

:


Finals

:


Workload Hour (30)

:


Total Work Charge / Hour

:


Course's ECTS Credit

:



Assessment Methods and Criteria
Studies During Halfterm

: 

Visa

: 

Quiz

: 

Homework

: 

Attendance

: 

Application

: 

Lab

: 

Project

: 

Workshop

: 

Seminary

: 

Field study

: 




TOTAL

: 

The ratio of the term to success

: 

The ratio of final to success

: 

TOTAL

: 


Weekly Detailed Course Content
Week

Topics

1

Introduction, Definition of problem, Obtaining coefficients of Fourier series, Examples about expansion of functions to Fourier series


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

2

Expansion of periodic functions to Fourier series, Fourier series for single and couple functions, Fourier series for function with 2 periods, Dirichlet integral


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

3

Convergence of Fourier series at a point, Fourier integral


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

4

Differantial equations: Solutions of differential equations by using series, Expansion of solution to power series, Review problems


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

5

Expansion of solution to generalized power series, Bessel equation, Review problems, Solution of Bessel equation


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

6

Legendre polinoms and Legendre equations


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

7

Periodic solutions of linear diferential equations , Preiodic solutions of equations, Review problems


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

8

Differential equation systems: Fundamental concepts and definitions, Existence and uniqueness of solution of Cauchy problem, Eliminating method (Transformation of differential equations system to a equation)


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

9

Obtaining integration combinations, Symmetric form of differential equations system


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

10

Integration of homogeneous and non homogeneous linear systems with constant coefficient


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

11

Definition of Laplace transformation, Some properties of Laplace transformation, Review problems


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

12

Solutions of differential equations by using Laplace transformation, Review problems


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

13

Solutions of differential equations system by using Laplace transformation, Review problems


Study Materials: Course Notes of Engineering Mathematics/ Prof. Dr. Abdullah AVEY

14

General Assesment




























































































