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SDÜ Education Information System Course Content
Programme
Graduate School of Natural and Applied Sciences Manufacturing Engineering
Course Information
Course Unit Code
Course Unit Title
Credit Theoretic
Credit Pratic
Credit Lab/A
Credit Total
Credit Ects
Semester
01IMM5120
Differential Equations and Engineering Applications
3.00
0.00
0.00
3.00
6.00
1
Course Information
Language of Instruction
Turkish
Type of Course Unit
Elective
Course Coordinator
Assistant Professor Dr. Hüseyin Veli DÖNDÜREN
Course Instructors
3-Hüseyin Veli DÖNDÜREN
Course Assistants
0-YOK
Course Aims
The primary aim of this course is to provide the analytical knowledge and techniques necessary for studying engineering degree level. This course has been designed to enable learners to develop further techniques for the solution of engineering problems, including series and numerical methods for ordinary differential equations, Laplace transforms, Fourier series.
Course Goals
To achieve this course a learner must:
1) Solve engineering problems using series and numerical methods for the solution of ordinary differential equations
2) Solve engineering problems using Laplace transforms
3) Solve engineering problems using Fourier series
4) Use Matlab for solutions of linear equations
5) Plot graphs of equations using Matlab
Learning Outcomes of The Course Unit
1) Obtain the differential equations of linear electrical circuits and their solutions
2) Comprehending the properties of Laplace and inverse Laplace transform
3) Comprehending the application of Laplace transforms techniques for the solution of linear systems.
4) s Comprehending explanations and applications of basic Matlab functions.
5) Comprehending applications of matrix operations and graphics plot.
6) Comprehending computation of the solutions of algebraic equations, differential equations and symbolic equations.
7) Comprehending explanations of the properties of Fourier series, Fourier integrals and Fourier transform.
Course Contents
Laplace and inverse Laplace transform. Obtaining the differential equations of linear electrical circuits and their solutions using Laplace transform. Laplace transforms techniques for the solution of linear systems. Arrays and matrices definitions and their basic operations, saving and loading variables in Matlab. Creating m-file and plotting basic graphics. Algebraic equations definitions and their solutions in Matlab. Solutions of differential equations in time and frequency domains. Periodic functions, trigonometric series, Fourier series and Euler formulas. Example applications with Matlab.
Prerequisities and Co-requisities Courses
 
Recommended Optional Programme Components
 
Mode Of Delivery
 
Level of Course Unit
 
Assessment Methods and Criteria
ECTS / Table Of Workload (Number of ECTS credits allocated)
Studies During Halfterm
Number
Co-Efficient
Activity
Number
Duration
Total
Visa
1
60
Course Duration (Excluding Exam Week)
14
3
42
Quiz
0
0
Time Of Studying Out Of Class
14
8
112
Homework
1
10
Homeworks
0
0
0
Attendance
0
0
Presentation
0
0
0
Application
0
0
Project
0
0
0
Lab
1
30
Lab Study
0
0
0
Project
0
0
Field Study
0
0
0
Workshop
0
0
Visas
1
15
15
Seminary
0
0
Finals
1
15
15
Field study
0
0
Workload Hour (30)
30
TOTAL
100
Total Work Charge / Hour
184
The ratio of the term to success
40
Course's ECTS Credit
6
The ratio of final to success
60
 
TOTAL
100
 
Recommended or Required Reading
Textbook
İlyas Çankaya, ?Matlab ile Meslek Matematiği?, Seçkin yayıncılık, 2008.
Additional Resources
Interactive circuit demos: http://www.csupomona.edu/~apfelzer/demos/toc.html
Material Sharing
Documents
NONE
Assignments
NONE
Exams
1 MIDDLE EXAM
2 FINAL EXAM
Additional Material
NONE
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
Work Placements
As with any other educational component, credits for work placements are only awarded when the learning outcomes have been achieved and assessed. If a work placement is part of organised mobility (such as Farabi and Erasmus), the Learning Agreement for the placement should indicate the number of credits to be awarded if the expected learning outcomes are achieved.
Program Learning Outcomes
No
Course's Contribution to Program
Contribution
1
An able to use informations of mathematicall, science, engineeringin solving the manufacturing engineering problems
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