University :Mansoura University |
Faculty :Faculty of Educations |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 226MS | | Course title: | رياضيات (4) معادلات تفاضلية | | Year/Level: | ثانية فيزياء | | Program Title: | - بكالوريوس العلوم والتربية كيمياء وفيزياء قديم
| | Specialization: | | | Teaching Hours: | Theoretical: | 2 | Tutorial: | 1 | Practical: | |
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| 2- Course aims :- |
| - The course provides an overview of standard methods for the solution of single ordinary differential equations, systems of equations. This course will provide standard results and techniques for solving systems of linear autonomous differential equations.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | Systems of differential equations | | | 2 | First Order Differential Equations :Linear equations with constant coefficients, Homogeneous equations, Exact equations ,and integrating factors, Bernolli equations, | | | 3 | Application of First order differential equations. | | | 4 | Second Order Differential Equations: Homogeneous equations with constant coefficients, Fundamental solutions of linear homogeneous equations, Linear independence and the Wronskian | | | 5 | Laplace transformation: Definition of the Laplace transform, Solutions of initial value problems,Step functions, First and second shift theorems, Convolution theorem, IVP. | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| 2 houre lecture and 1 hours tutorials |
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| 6- Teaching and learning methods of disables :- |
| No data found. |
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
|---|
| 1 | Oral Examination | 10 | | 2 | Final_Term Examination | 15 |
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| B. Degree |
| | No | Method | Degree |
|---|
| 1 | Mid_term examination | 0 | | 2 | Final_term examination | 70 | | 3 | Oral examination | 30 | | 4 | Practical examination | 0 | | 5 | Semester work | 0 | | 6 | Other types of asessment | 0 | | Total | 100% |
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| 8- List of books and references |
| | S | Item | Type |
|---|
| 1 | Elementary Differential Equations and Boundary Value Problems, byWilliam E. Boyce, Richard C. Diprima, John Wiley & Sons, 8 th ed. (2005) | | | 2 | Differential Equations: An Applied Approach, by J. M. Cushing, Pearson (Prentice Hall) 1 st ed. (2004) | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Systems of differential equations | | | First Order Differential Equations :Linear equations with constant coefficients, Homogeneous equations, Exact equations ,and integrating factors, Bernolli equations, | | | Application of First order differential equations. | | | Second Order Differential Equations: Homogeneous equations with constant coefficients, Fundamental solutions of linear homogeneous equations, Linear independence and the Wronskian | | | Laplace transformation: Definition of the Laplace transform, Solutions of initial value problems,Step functions, First and second shift theorems, Convolution theorem, IVP. | |
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| Course Coordinator(s): - |
| - Elsaid Mohamed Mohamed Elsaid
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| Head of department: - |
| Mohamed Kamal Abd Elsalam Auf Elkasar |
