University :Damietta University |
Faculty :Faculty of Science |
Department :الرياضيات |
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| 1- 1- Course data :- |
| | Code: | 406ر | | Course title: | Special Functions - Functional Analysis | | Year/Level: | رابعة رياضيات | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 2 | Tutorial: | | Practical: | |
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| 2- 2- Course aims :- |
| - mathematical find true statements that can be made about objects.
- solve problems and build new mathematical knowledge through problem solving.
- communicate effectively, so they can interpret problems and present technical results to people with limited mathematics training.
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| 3- 3- Course Learning Outcomes :- |
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| 4- 4- Course contents :- |
| | No | Topics | Week No. |
|---|
| 1 | The gamma and beta function | | | 2 | Bessel function | | | 3 | Hyper geometric function | | | 4 | Legendre’s polynomial | | | 5 | Legendre’s function | | | 6 | Hermits polynomials | | | 7 | Dual space | | | 8 | Hilebert space | | | 9 | projections | | | 10 | metric spaces | | | 11 | linear metric spaces | | | 12 | basic theorems on normed linear spaces | | | 13 | hilbert spces | | | 14 | fixed point theory | |
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| 5- 5- Teaching and learning methods :- |
| | S | Method |
|---|
| Theoretical lectures | | exercises |
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| 6- 6- Teaching and learning methods of disables :- |
| - لا يوجد
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| 7- 7- Student assessment :- |
| - Student assessment methods |
| | S | Method |
|---|
| امتحانات نظرية | | امتحانات شفوى |
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| - Timing |
| | No | Method | Week No. |
|---|
| 1 | First test | fifth or sixth | | 2 | Second test | ninth or tenth |
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| - 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- 8- List of books and references |
| | S | Reference | Type |
|---|
| 1 | B chudhary and S Nanda "functional analysis with applications", Wiley, 1995 | | | 2 | 2-W.W.Bell;Special Functions for Scientists and Engineers.D.van nostrand company LTD Londodon 1967. | |
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| 9- 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| The gamma and beta function | | | Bessel function | | | Hyper geometric function | | | Legendre’s polynomial | | | Legendre’s function | | | Hermits polynomials | | | Dual space | | | Hilebert space | | | projections | | | metric spaces | | | linear metric spaces | | | basic theorems on normed linear spaces | | | hilbert spces | | | fixed point theory | |
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| Course Coordinator(s): - |
| - هالة أحمد أحمد السقا
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| Head of department: - |
| محمد أحمد أنور محمد الشهاوى |
