University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 40219 | | Course title: | رياضة بحته | | Year/Level: | ثانية بيولوجى | | 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 ordinary differential equations and difference equations which appears in the biological systems and the model of the infection diseases , 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 in order to understand the geometry of biological behaviour like cellular automate.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
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| 1 | Definitions. First order differential eq. | | | 2 | Second order differential eq. and difference equations | | | 3 | Function of several variables | | | 4 | Partial differentiation .Continuity, differentiability, and the chain rule. | | | 5 | Taylor’s theory, Maxima of functions of two variables, Differentiation of integrals | | | 6 | Matrices | | | 7 | Interpolation, models | | | 8 | Straight line and plane in space | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Lectures (3 hours). | | Tutorial (3 hours). |
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| 6- Teaching and learning methods of disables :- |
| - The same as normal students, only skeletal disabilities are allowed in the Faculty of Science.
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
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| 1 | Oral Examination | 14 | | 2 | Final-Term Examination | 14 |
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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. | | | 2 | Cox,W., Ordinary Differential Equations, Arnold, 1996; | | | 3 | Lindsay, K. and Weiglhofer, W., Ordinary Differential Equations and Applications, Albion, 1999; | | | 4 | C. H Edwards, Elementary differential equations with boundary value problems, Pearson Prentice Hall, 2004 | | | 5 | http://www.sosmath.com/diffeq/diffeq.html - http://en.wikipedia.org/wiki/Pure_mathematics | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Definitions. First order differential eq. | | | Second order differential eq. and difference equations | | | Function of several variables | | | Partial differentiation .Continuity, differentiability, and the chain rule. | | | Taylor’s theory, Maxima of functions of two variables, Differentiation of integrals | | | Matrices | | | Interpolation, models | | | Straight line and plane in space | |
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| Course Coordinator(s): - |
| - Taher Salah Hassan Abd Elmenem
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
