University :Damietta University |
Faculty :Faculty of Science |
Department :الرياضيات |
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| 1- Course data :- |
| | Code: | 323ر | | Course title: | Real&Complex Analysis | | Year/Level: | ثالثة رياضيات وعلوم حاسب | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 3 | Tutorial: | 1 | Practical: | |
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| 2- Course aims :- |
| - Postulate concepts and choose appropriate solutions to solve problems on scientific basis
- Adopt self and long life-learning and participate effectively in research activities.
- Apply techniques, tools, and formulas to understand an object’s attributes.
- Recognize and use various types of reasoning and methods of proof.
- Recognize and understand how mathematical ideas interconnect and build on one another
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
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| 1 | Complex numbers | | | 2 | Complex functions | | | 3 | limits, continuity and derivative | | | 4 | Integration in complex plane | | | 5 | Cauchy integral theorems, Morris theorem, Liouville’s theorem | | | 6 | Power series, Laurent series | | | 7 | Singularities of analytic functions | | | 8 | The residue theorem with applications to definite integrals | | | 9 | Some additional topics such as conformal mapping | |
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| 5- Teaching and learning methods :- |
| | S | Method |
|---|
| طرح أسئلة علي الطلاب أثناء المحاضرة لتوظيف خبراتهم والاستفادة منها | | الوسيلة الوحيدة المتاحة للتدريس هي الطباشير والسبورة |
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| 6- Teaching and learning methods of disables :- |
| - لا يوجد
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
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| 1 | أسئلة شفوية | 1,3,5 | | 2 | حل تمارين | 1-12 | | 3 | امتحانات تحريرية | 11 |
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| B. Degree |
| | No | Method | Degree |
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| 1 | Mid_term examination | 0 | | 2 | Final_term examination | 90 | | 3 | Oral examination | 5 | | 4 | Practical examination | 0 | | 5 | Semester work | 0 | | 6 | Other types of asessment | 5 | | Total | 100% |
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| 8- List of books and references |
| | S | Item | Type |
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| 1 | Course notes prepared by stuff members | | | 2 | المتغيرات المركبة وتطبيقات – دويل ث. تشرشل – جيمس د. بروان | | | 3 | سلسلة سشوم فى التحليل المركب | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Complex numbers | | | Complex functions | | | limits, continuity and derivative | | | Integration in complex plane | | | Cauchy integral theorems, Morris theorem, Liouville’s theorem | | | Power series, Laurent series | | | Singularities of analytic functions | | | The residue theorem with applications to definite integrals | | | Some additional topics such as conformal mapping | |
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| Course Coordinator(s): - |
| - رابحة محمد مصطفى الاشوح
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| Head of department: - |
| احمد السيد عبد الغنى الغباشى |
