University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 31217 | | Course title: | رياضيات بحته | | Year/Level: | ثانية جيولوجيا | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 3 | Tutorial: | 2 | Practical: | |
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| 2- Course aims :- |
| - The course provides an overview of standard methods for the solution of single ordinary differential equations and systems of equations, with an introduction to some of the underlying theory and calculus of functions of more than one variable. Moreover, it provides overview for the standard solutions of linear algebraic systems and the geometry of plane as well as that of straight lines in space.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
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| 1 | التفاضل الجزئى: اتصال وتفاضل الدوال فى أكثر من متغير | | | 2 | الدوال المتجانسة - نظرية أويلر | | | 3 | تفاضل الدوال المركبة وتطبيقاتها | | | 4 | المعادلات التفاضلية ذات الرتبة الأولى وتطبيقاتها | | | 5 | المعادلات التفاضلية ذات الرتبة العليا | | | 6 | التكاملات المتعددة | | | 7 | التكامل الخطى | | | 8 | المصفوفات | | | 9 | حل مجموعات المعادلات باستخدام المصفوفات | | | 10 | الهندسة الفراغية : المستقيم | | | 11 | المستوى | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Lectures (3H/W) | | Tutorial (3H/w) |
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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 |
|---|
| 1 | امتحان شفوى | 14 | | 2 | امتحان تحريرى | 15 |
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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 | 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 |
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| 1 | Lecture notes prepared by academic staff members in the Department | | | 2 | M. Braun, "Differential Equations and their Applications", Springer-Verlag. | | | 3 | C. H Edwards, Elementary differential equations with boundary value problems, Pearson Prentice Hall, 2004 | | | 4 | H. Anton, Elementary Linear Algebra, Wiley 1994 | | | 5 | W.E. Boyce & R.C. Di Prima, "Elementary Differential Equations and Boundary Value Problems", Wiley | | | 6 | C.H. Edwards & D.E. Penney, "Elementary Differential Equations with Boundary Value Problems", Prentice Hall. | | | 7 | R.K. Nagle & E.B. Saff, & A.D. Snider, "Fundamentals of Differential Equations and Boundary Value Problems", Addison-Wesley. | | | 8 | http://www.sosmath.com/diffeq/diffeq.html | | | 9 | http://joshua.smcvt.edu/linearalgebra/ | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| التفاضل الجزئى: اتصال وتفاضل الدوال فى أكثر من متغير | | | الدوال المتجانسة - نظرية أويلر | | | تفاضل الدوال المركبة وتطبيقاتها | | | المعادلات التفاضلية ذات الرتبة الأولى وتطبيقاتها | | | المعادلات التفاضلية ذات الرتبة العليا | | | التكاملات المتعددة | | | التكامل الخطى | | | المصفوفات | | | حل مجموعات المعادلات باستخدام المصفوفات | | | الهندسة الفراغية : المستقيم | | | المستوى | |
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| Course Coordinator(s): - |
| - Mervat Abdel Bary Ahmed El Sherbasi
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
