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University :Damietta University
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Faculty :Faculty of Science
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Department :
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| 1- 1- Course data :- |
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| Code: |
415ر |
| Course title: |
Complex Analysis |
| Year/Level: |
رابعة فيزياء وعلوم حاسب |
| Program Title: |
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| Specialization: |
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| Teaching Hours: |
Theoretical: |
2 |
Tutorial: |
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Practical: |
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| 2- 2- Course aims :- |
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- Postulate concepts and choose appropriate solutions to solve problems on scientific basis
- 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- 3- Course Learning Outcomes :- |
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| 4- 4- Course contents :- |
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| No |
Topics |
Week No. |
| 1 |
Complex numbers |
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| 2 |
Complex functions: limits, continuity and derivative |
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| 3 |
Analytic functions of a complex variable. Cauchy-Riemann equation |
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| 4 |
Integration in complex plane |
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| 5 |
Cauchy integral theorems, Morris theorem, Liouville’s theorem |
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| 6 |
Power series, Laurent series |
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| 7 |
Singularities of analytic functions |
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| 8 |
The residue theorem |
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| 9 |
Some additional topics such as conformal mapping |
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| 5- 5- Teaching and learning methods :- |
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| S |
Method |
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طرح أسئلة علي الطلاب أثناء المحاضرة لتوظيف خبراتهم والاستفادة منها |
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اختبارات قصيرة متكرّرة |
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تكليفات منزلية متنوعة |
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| 6- 6- Teaching and learning methods of disables :- |
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- لايوجد
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| 7- 7- Student assessment :- |
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- Student assessment methods |
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| S |
Method |
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المشاركة الفصلية |
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الاختبارات الدورية |
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الاختبارات الشفوية |
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الاختبارات النهائية |
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- Timing |
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| No |
Method |
Week No. |
| 1 |
المشاركة الفصلية |
1, 3, 5 |
| 2 |
الاختبارات الدورية |
2-10 |
| 3 |
امتحانات تحريرية |
12 |
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- Degree |
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| No |
Method |
Degree |
| 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- 8- List of books and references |
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| S |
Reference |
Type |
| 1 |
Course notes prepared by stuff members |
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| 2 |
المتغيرات المركبة وتطبيقات – دويل ث. تشرشل – جيمس د. بروان |
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| 3 |
سلسلة سشوم فى التحليل المركب |
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| 9- 9- Matrix of knowledge and skills of the course |
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| S |
Content |
Study week |
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Complex numbers |
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|
Complex functions: limits, continuity and derivative |
|
|
Analytic functions of a complex variable. Cauchy-Riemann equation |
|
|
Integration in complex plane |
|
|
Cauchy integral theorems, Morris theorem, Liouville’s theorem |
|
|
Power series, Laurent series |
|
|
Singularities of analytic functions |
|
|
The residue theorem |
|
|
Some additional topics such as conformal mapping |
|
|
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| Course Coordinator(s): - |
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- رابحة محمد مصطفى الاشوح
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| Head of department: - |
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محمد أحمد أنور محمد الشهاوى |