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