| University :Mansoura University | 
| Faculty :Faculty of Educations | 
| Department :Mathematics Department | 
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| 1- 1- Course data :- | 
|  | | Code: | MSA0125 |  | Course title: | رياضيات:حسبان |  | Year/Level: | أولى دراسات إجتماعية |  | Program Title: | ليسانس الآداب والتربية تعليم أساسي دراسات اجتماعية
 |  | Specialization: |  |  | Teaching Hours: | Theoretical: | 3 | Tutorial: |  | Practical: |  | 
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| 2- 2- Course aims :- | 
|  | Understand the concepts of differentiation student will know and understand various techniques for differentiating student will be able to apply the concepts on different topics Apply the technique on different kinds of function Know and understand the difference between different function 
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| 3- 3- Course Learning Outcomes :- | 
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| 4- 4- Course contents :- | 
|  | | No | Topics | Week No. | 
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 | 1 | Further functions and its derivatives, the log function ln; the exponential function exp and ax; the inverse trigonometric functions sin-1, cos-1, tan-1; the hyperbolic functions sinh, cosh, tanh and their inverses sinh-1, cosh-1, tanh-1; complex exponentials |  |  | 2 | Application of Calculus |  |  | 3 | Introduction (S set of real numbers – R real line – inert utilities- Intervals – Absolute values) |  |  | 4 | Functions: definition of functions – Operations of functions – Inverse functions - Classification of function |  |  | 5 | Limits and continuity |  |  | 6 | Geometric meaning of derivative, Techniques of differentiation – Derivative of some elementary functions – Higher derivatives |  | 
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| 5- 5- Teaching and learning methods  :- | 
|  | | S | Method | 
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 |  | Lectures supported by problem sheets and weekly small-group tutoria | 
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| 6- 6- Teaching and learning methods of disables  :- | 
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| 7- 7- Student assessment  :- | 
|  | - Timing | 
|  | | No | Method | Week No. | 
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 | 1 | Oral exam | 10 |  | 2 | Final exam | 16 | 
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|  | - Degree | 
|  | | No | Method | Degree | 
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 | 1 | Mid_term examination |  |  | 2 | Final_term examination | 70 |  | 3 | Oral examination | 30 |  | 4 | Practical examination |  |  | 5 | Semester work |  |  | 6 | Other types of asessment |  |  | Total | 100% | 
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| 8- 8- List of books and references | 
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| 9- 9- Matrix of knowledge and skills of the course | 
|  | | S | Content | Study week | 
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 |  | Further functions and its derivatives, the log function ln; the exponential function exp and ax; the inverse trigonometric functions sin-1, cos-1, tan-1; the hyperbolic functions sinh, cosh, tanh and their inverses sinh-1, cosh-1, tanh-1; complex exponentials |  |  |  | Application of Calculus |  |  |  | Introduction (S set of real numbers – R real line – inert utilities- Intervals – Absolute values) |  |  |  | Functions: definition of functions – Operations of functions – Inverse functions - Classification of function |  |  |  | Limits and continuity |  |  |  | Geometric meaning of derivative, Techniques of differentiation – Derivative of some elementary functions – Higher derivatives |  | 
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| Course Coordinator(s):  - | 
|  | Magdy Yousef Barsom Farah
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| Head of department:  - | 
|  | Mohamed Kamal Abd Elsalam Auf Elkasar |