University :Mansoura University |
Faculty :Faculty of Engineering |
Department :Mechanical Power Engineering |
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1- Course data :- |
| Code: | 04211 | Course title: | Mathematics-4 | Year/Level: | ثانية ميكانيكا | Program Title: | | Specialization: | | Teaching Hours: | Theoretical: | 4 | Tutorial: | 2 | Practical: | |
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2- Course aims :- |
| - To learn the basic concepts and theorems on Complex Analysis and Partial Differential Equations.
Knowing the shape of some engineering domains under the mapping
To use this theorems in solving different types of problems
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3- Course Learning Outcomes :- |
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4- Course contents :- |
| No | Topics | Week |
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1 | Complex Number system+The Gamma and Beta functions | | 2 | Functions of complex variables + The & orthogonal functions& Sturm-Lioville problems | | 3 | Analytic & Elementary functions + Bessel and Legendre functions | | 4 | Conformal Mapping + | | 5 | Complex Integration + PDEs, Heat equation | | 6 | Taylor ansd Laurant Serie + wave equation. | | 7 | Calculus of Resides +potential equation | |
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5- Teaching and learning methods :- |
| S | Method |
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| Lectures | | Discussion sessions | | Class activities |
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6- Teaching and learning methods of disables :- |
| - None
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7- Student assessment :- |
| A. Timing |
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| B. Degree |
| No | Method | Degree |
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1 | Mid_term examination | 30 | 2 | Final_term examination | 70 | 3 | Oral examination | 0 | 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 |
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1 | Complex Analysis, by Mohamed El-Gamel, 2005 | | 2 | Special Functions, by Ibrahim El-Kalla, 2005 | | 3 | Advanced Engineering Math. Erwin Krizig 2002 | |
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9- Matrix of knowledge and skills of the course |
| S | Content | Study week |
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| Complex Number system+The Gamma and Beta functions | | | Functions of complex variables + The & orthogonal functions& Sturm-Lioville problems | | | Analytic & Elementary functions + Bessel and Legendre functions | | | Conformal Mapping + | | | Complex Integration + PDEs, Heat equation | | | Taylor ansd Laurant Serie + wave equation. | | | Calculus of Resides +potential equation | |
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Course Coordinator(s): - |
| - Ebrahim Abd El Hay Ahmed El Awady
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Head of department: - |
| Ahmed Ahmed Abd El Fattah El Sorrory |