University :Damietta University |
Faculty :Faculty of Science |
Department :الرياضيات |
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| 1- Course data :- |
| | Code: | 326ر | | Course title: | Calculus of Variation | | Year/Level: | ثالثة رياضيات وعلوم حاسب | | Program Title: | - Mathematics and computer science
| | Specialization: | | | Teaching Hours: | Theoretical: | 2 | Tutorial: | 1 | Practical: | |
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| 2- Course aims :- |
| - Have the basic skills and knowledge Mathematics
- communicate effectively, so they can interpret problems and present technical results to people with limited mathematics training.
- Give provision for students to develop personal and intellectual skills, enabling them to compete successfully on the employment market
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | The extremum of a function of many variables | | | 2 | Conditional extremum and Lagrange Multiplier | | | 3 | Functional and distance between curves | | | 4 | Continuity of a functional | | | 5 | Variation of a functional | | | 6 | Second variation of functioal | | | 7 | Euler’s equation | | | 8 | Functional dependent on higher derivatives | | | 9 | Functional dependent on m functions, on several independent variables | | | 10 | Invariance of Euler’s equation | | | 11 | Sufficient conditions for the extremum of a functional | |
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| 5- Teaching and learning methods :- |
| | S | Method |
|---|
| Discussion during the lectures | | Homework | | Short exam | | Solving problems |
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| 6- Teaching and learning methods of disables :- |
| - تعويد الطلاب على عمل سيمينار أسبوعيا للتخلص من صفة التردد والاضطراب وتنمية روح المغامرة والإقدام في الفكر والمناقشة
- طرح أسئلة علي الطلاب أثناء المحاضرة لتوظيف خبراتهم والاستفادة منها
- الوسيلة الوحيدة المتاحة للتدريس هي الطباشير والسبورة
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
|---|
| 1 | questions | first week | | 2 | mid exam | six | | 3 | solving problems | all | | 4 | final exam | last week |
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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 | | | 6 | Other types of asessment | 0 | | Total | 100% |
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| 8- List of books and references |
| | S | Item | Type |
|---|
| 1 | S. Lipschutz, “ Data Structure”, McGraw-Hill,1986 | | | 2 | N.Dale, “ C++ Plus Data Structrues.” Jones and Barlett,2003. | | | 3 | A.Berman, “ Data Structure via C++”, Oxford Univ. Press, 1997. | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| The extremum of a function of many variables | | | Conditional extremum and Lagrange Multiplier | | | Functional and distance between curves | | | Continuity of a functional | | | Variation of a functional | | | Second variation of functioal | | | Euler’s equation | | | Functional dependent on higher derivatives | | | Functional dependent on m functions, on several independent variables | | | Invariance of Euler’s equation | | | Sufficient conditions for the extremum of a functional | |
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| Course Coordinator(s): - |
| - رانيا محمد عبده الطنطاوى
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| Head of department: - |
| محمد أحمد أنور محمد الشهاوى |
