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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 : Face-To-Face
Prerequisities and Co-requisities 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 Vize-Final
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 :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
14 3 42  
Homeworks :
1 16 16  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 40 40  
Finals :
1 40 40  
Workload Hour (30) :
30  
Total Work Charge / Hour :
180  
Course's ECTS Credit :
6      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 50
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
50
The ratio of the term to success :
50
The ratio of final to success :
50
TOTAL :
100
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
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