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Course Information
Course Unit Title : Differential Equations and Engineering Applications
Course Unit Code : 01IMM5120
Type of Course Unit : Optional
Level of Course Unit : Second Cycle
Year of Study : Preb
Semester : 255.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) : ---
Course Assistants : ---
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.
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
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.
Languages of Instruction : Turkish
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
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.
WorkPlacement   Not Available
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)
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 8 112  
Homeworks :
0 0 0  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 15 15  
Finals :
1 15 15  
Workload Hour (30) :
30  
Total Work Charge / Hour :
184  
Course's ECTS Credit :
6      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 60
Quiz :
0 0
Homework :
1 10
Attendance :
0 0
Application :
0 0
Lab :
1 30
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
100
The ratio of the term to success :
40
The ratio of final to success :
60
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 Obtaining the differential equations of linear electrical circuits and their solutions,
  Study Materials: Getting the course syllabus
2 Using differential equations to solve electric and magnetic circuits.
  Study Materials: Research and reading
3 Solutions of 1st and 2nd order differential equations
  Study Materials: Testing the interactive circuit animations
4 Laplace and inverse Laplace transform
  Study Materials: Research and reading
5 Solutions of differential equations using Laplace transform.
  Study Materials: Research and reading
6 Laplace transforms techniques for the solution of linear systems.
  Study Materials: Research and reading
7 Arrays and matrices definitions and their basic operations, saving and loading variables in Matlab.
  Study Materials: Getting usage experience of simulation program
8 Creating m-file and functions
  Study Materials: Getting usage experience of simulation program
9 Creating, saving and editing basic graphics.
  Study Materials: Getting usage experience of simulation program
10 Algebraic equations definitions and their solutions in Matlab.
  Study Materials: Getting usage experience of simulation program
11 Solutions of differential equations in time and frequency domains
  Study Materials: Research and reading
12 Periodic functions, trigonometric series,
  Study Materials: Research and reading
13 Fourier series ve integrals. Euler formulas
  Study Materials: Research and reading
14 Application examples with Matlab.
  Study Materials: Getting usage experience of simulation program
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