University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 33202 | | Course title: | تفاضل عالى | | Year/Level: | ثانية جيوفيزيقا | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 3 | Tutorial: | 3 | Practical: | |
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| 2- Course aims :- |
| - The course provides an overview of standard methods for the solution of single ordinary differential equations, systems of equations, Multiple integrals, Line integral, Elliptic integral, Continuity and differentiability of functions of two variables, Chain rule, Taylor’s Theorem, Maxima and Minima of functions of two variables, Differentiation of integrals.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
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| 1 | Ordinary Differential Equations of first Order | | | 2 | Second order differential eq.: reduction of order, constant coeff., 2nd -order linear eq. Euler | | | 3 | Function of several variables | | | 4 | Partial differentiation .Continuity, differentiability, and the chain rule. | | | 5 | Line integral, Multiple integrals, change of variables. | | | 6 | Cartesian, Cylindrical and Spherical Coordinates & Straight line and plane in the space. | | | 7 | Matrices& Linear Independence in the Euclidean speace | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| 3 houre lecture and 3 hours tutorials | | Oral questions in the lectures |
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| 6- Teaching and learning methods of disables :- |
| - all students are normal due to the nature of study
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
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| 1 | Oral exam | 14 | | 2 | Final exam | 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 |
|---|
| 1 | Lecture notes | | | 2 | C. H. Edwards & D. E. Penney, "Elementary Differential Equations with Boundary Value Problems" Prentice Hall | | | 3 | Web site | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Ordinary Differential Equations of first Order | | | Second order differential eq.: reduction of order, constant coeff., 2nd -order linear eq. Euler | | | Function of several variables | | | Partial differentiation .Continuity, differentiability, and the chain rule. | | | Line integral, Multiple integrals, change of variables. | | | Cartesian, Cylindrical and Spherical Coordinates & Straight line and plane in the space. | | | Matrices& Linear Independence in the Euclidean speace | |
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| Course Coordinator(s): - |
| - Mohamed Kamal Abd Elsalam Auf Elkasar
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
