| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | EM201 | Differential Equations | Compulsory | 2 | 3 | 5 |
|
| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| The aim of this course, of ordinary differential equations (ADD) and their solution methods of teaching. Differential equations, changing relationships between the expression of differential quantities, within the course of a given topics applicable to all engineering fields. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Ebubekir AKKOYUNLU |
| Learning Outcomes |
| 1 | Terminology related to differential equations will | | 2 | The solution to a differential equation of a function determines whether the | | 3 | Ordinary differential equations and differential equation solves systems of | | 4 | Engineering problems by applying the laws of physics to system behavior that represents the differential equation and solves these equations |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Basic concepts and the classification of differential equations, first order equations and engineering applications, Second and higher degree differential equations and equations with variable coefficients of engineering applications, linear equation systems: Scalar and matrix methods, Laplace transform, Engineering applications, introduction to numerical solution of differential equations |
| Weekly Detailed Course Contents |
|
| 1 | Basic concepts and the classification of differential equations
| | | | 2 | Solution of first order equations: Linear equations
| | | | 3 | Solution of first order equations: non-linear equations (variables separable, exact, homogeneous and special types of equations)
| | | | 4 | First order equations and computer methods for engineering applications
| | | | 5 | Second order equations with constant coefficients homogeneous Linear independence, equations
| | | | 6 | Second order non-homogeneous equations: methods of undetermined coefficients and variation of parameters
| | | | 7 | Euler equation of second order and second order equations for computer applications
| | | | 8 | Midterm exam | | | | 9 | Second order equations, for engineering applications
| | | | 10 | High-ranking differential equations
| | | | 11 | Equations with variable coefficients: power series method
| | | | 12 | Linear equation systems: Scalar method
| | | | 13 | Linear equation systems: Matrix method
| | | | 14 | Laplace transform method
| | | | 15 | Introduction to numerical solution of differential equations
| | |
|
| Recommended or Required Reading |
| Antonov, a. a. and Palm, w. j. (English: Tahsin Peters), 2012, Engineers and natural Scientists To differential equations, trust book shop, İzmir.
Thomas, e. s. and Bailey, m., 2003, Resolving the problems differential equations, change bookstore, Sahid.
Bronson, r., 1993, (English: Hilmi H), differential equations, Schaum ́s Outlines, Nobel Bookstore, Ankara |
| Planned Learning Activities and Teaching Methods |
|
| Assessment Methods and Criteria | |
| Midterm Examination | 1 | 100 | | SUM | 100 | |
| Final Examination | 1 | 100 | | SUM | 100 | | Term (or Year) Learning Activities | 40 | | End Of Term (or Year) Learning Activities | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
|
| Workload Calculation |
|
| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 4 | 56 |
| Self Study | 14 | 3 | 42 |
| Individual Study for Mid term Examination | 1 | 15 | 15 |
| Individual Study for Final Examination | 1 | 20 | 20 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
 |
| |