University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 15317 | | Course title: | تحليل حقيقى مركب - دوال خاصة | | Year/Level: | ثالثة الإحصاء وعلوم الحاسب | | Program Title: | - Statistics & Computer science
| | Specialization: | | | Teaching Hours: | Theoretical: | 6 | Tutorial: | 2 | Practical: | |
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| 2- Course aims :- |
| - The programme unit aims to introduce the basic ideas of complex analysis, with particular emphasis on Cauchy’s Theorem a nd the calculus of residues
- student will know and understand various spectial functions
- To investigate the solution of partial differential equations which occur in mathematical physics by the method of separation of variables in a number of different geometries and to become familiar with the special functions that arise from this method. To become familiar with the principle of orthogonality
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | Complex numbers (revision) | | | 2 | Functions of Complex variables | | | 3 | Analytic functions | | | 4 | Elementry functions | | | 5 | Complex Inregration | | | 6 | Complex Power series, residues, applications | | | 7 | Conformal mapping | | | 8 | Gamma and Beta fns | | | 9 | Hypergeometric functions | | | 10 | Legendre polynomials | | | 11 | Bessel functions | | | 12 | Laguerre Polynomial | | | 13 | Hermite polynomials | |
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| 5- Teaching and learning methods :- |
| | S | Method |
|---|
| Lectures supported by problem sheets and weekly small-group tutoria |
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| 6- Teaching and learning methods of disables :- |
| - no
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
|---|
| 1 | oral exam | 14 | | 2 | final exam | 15 |
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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 | Course Notes | | | 2 | complex analysis (Schaum Series) | | | 3 | complex variables and its applications (D. Techerchel) | | | 4 | Ian Stewart and David Tall, Complex Analysis, Cambridge University Press, 1983 | | | 5 | N.M. Temme, "Special functions, an introduction to the classical functions of mathematical physics", Wiley, 1996, | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Complex numbers (revision) | | | Functions of Complex variables | | | Analytic functions | | | Elementry functions | | | Complex Inregration | | | Complex Power series, residues, applications | | | Conformal mapping | | | Gamma and Beta fns | | | Hypergeometric functions | | | Legendre polynomials | | | Bessel functions | | | Laguerre Polynomial | | | Hermite polynomials | |
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| Course Coordinator(s): - |
| - Magdy Yousef Barsom Farah
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
