University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 11416 | | Course title: | نظرية المعادلات التفاضلية | | Year/Level: | رابعة رياضيات | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 1 | Practical: | |
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| 2- Course aims :- |
| - 1.Students should understand the concept of a solution to an initial value problem, and the guarantee of its existence and uniqueness under specific conditions
- 2. The student will recognize basic types of differential equations which are solvable, and will understand the features of linear equations in particular.
- 3. Students will learn to use geometrical approaches to investigate equations which are not easily solvable. In particular, the student will be familiar with phase plane analysis.
- 4. Students will become proficient with the notions of linearization, equilibrium, stability. They will learn to use the eigenvalue method for autonomous systems on the plane
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | The existence and uniqueness theory | | | 2 | Some concepts for real functions theory | | | 3 | The fundamental of e&U theory | | | 4 | Dependence of solutions on I.C & function f | | | 5 | E&U Theorem for systems and higher order equations | | | 6 | Basic theory of homogeneous linear systems | | | 7 | Sturm theory | |
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| 5- Teaching and learning methods :- |
| | S | Method |
|---|
| - Lectures (4H/W) | | Tutorial (1H/w) |
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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 |
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| 1 | Final-Term Examination | 15 | | 2 | Oral Examination | 14 |
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| B. Degree |
| | No | Method | Degree |
|---|
| 1 | Mid_term examination | 0 | | 2 | Final_term examination | 90 | | 3 | Oral examination | 10 | | 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 | 6.1- Course Notes Avaliable in the Dept | | | 2 | 6.2- Essential Books (Text Books) C. H Edwards, Elementary differential equations with boundary value problems, Pearson Prentice Hall, 2004 | | | 3 | 6.3- Recommended Books 1- W.E. Boyce & R.C. Di Prima, "Elementary Differential Equations and Boundary Value Problems", Wiley | | | 4 | 6.4- Periodicals, Web Sites, …etc http://www.sosmath.com/diffeq/diffeq.html | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| The existence and uniqueness theory | | | Some concepts for real functions theory | | | The fundamental of e&U theory | | | Dependence of solutions on I.C & function f | | | E&U Theorem for systems and higher order equations | | | Basic theory of homogeneous linear systems | | | Sturm theory | |
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| Course Coordinator(s): - |
| - Ali Shamandy Abd Elwahed Mahmoud
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
