University :Mansoura University |
Faculty :Faculty of Educations |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 3 | | Course title: | ( Mathematics (1 | | Year/Level: | ثانية علمى | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 4 | Tutorial: | | Practical: | |
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| 2- Course aims :- |
| - The course provides an overview of standard methods for the solution of single ordinary differential equations
- The course provides an overview of standard methods for the solution of systems of equations
- The course provides an overview of standard methods for the solution of Multiple integrals, Line integral, Elliptic integral
- The course provides an overview of standard methods for the solution of Continuity and differentiability of functions of two variables, Chain rule, Taylor's Theorem,
- The course provides an overview of standard methods for the solution of Maxima and Minima of functions of two variables, Differentiation of integrals.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | Partial differentiation .Continuity, differentiability, and the chain rule. | | | 2 | Taylor's Theorem, Maxima and Minima of functions of two variables, Differentiation of integrals | | | 3 | Multiple integrals, change of variables. | | | 4 | Line integral, Green's Theorem, Elliptic integrals | | | 5 | Differential equations and their solution | | | 6 | First order differential equations | | | 7 | Applications of first order differential equations | | | 8 | Explicit methods of solving higher order linear differential equations | | | 9 | Function of several variables | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Lectures | | Oral questions in the lectures | | Problems classes |
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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 exam | 16 |
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| B. Degree |
| | No | Method | Degree |
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| 1 | Mid_term examination | | | 2 | Final_term examination | 100 | | 3 | Oral examination | | | 4 | Practical examination | | | 5 | Semester work | | | 6 | Other types of asessment | | | Total | 100% |
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| 8- List of books and references |
| | S | Item | Type |
|---|
| 1 | Lecture notes | | | 2 | Boyce, W., R. Diprima "Elementary Differential Equations with Boundary Value Problems", 3rd ed. Wiley, New York, 1977. | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Partial differentiation .Continuity, differentiability, and the chain rule. | | | Taylor's Theorem, Maxima and Minima of functions of two variables, Differentiation of integrals | | | Multiple integrals, change of variables. | | | Line integral, Green's Theorem, Elliptic integrals | | | Differential equations and their solution | | | First order differential equations | | | Applications of first order differential equations | | | Explicit methods of solving higher order linear differential equations | | | Function of several variables | |
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| Course Coordinator(s): - |
| - Mohamed Mohamed Eldesouqy Ahmed
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| Head of department: - |
| Mohamed Kamal Abd Elsalam Auf Elkasar |
