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Programme |

Graduate School of Natural and Applied Sciences Manufacturing Engineering |

Course Information |

Course Unit Code | Course Unit Title | | 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 | 0 |