University :Mansoura University |
Faculty :Faculty of Educations |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 0123 M | | Course title: | Calculus (1 | | Year/Level: | أولى رياضيات | | Program Title: | - بكالوريوس العلوم والتربية تعليم أساسي رياضيات
| | Specialization: | | | Teaching Hours: | Theoretical: | 2 | Tutorial: | 1 | Practical: | |
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| 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- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | Introduction (S set of real numbers – R real line – inert utilities- Intervals – Absolute values) | | | 2 | Functions: definition of functions – Operations of functions – Inverse functions - Classification of function | | | 3 | Limits and continuity | | | 4 | Geometric meaning of derivative, Techniques of differentiation – Derivative of some elementary functions – Higher derivatives | | | 5 | 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 | | | 6 | Application of Calculus | |
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| 5- Teaching and learning methods :- |
| | S | Method |
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| Lectures supported by problem sheets and weekly small-group tutorials. |
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| 6- Teaching and learning methods of disables :- |
| No data found. |
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
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| 1 | oral | 10 | | 2 | final | 16 |
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| B. 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- List of books and references |
| | S | Item | Type |
|---|
| 1 | Course nots | | | 2 | Harcout Javanavch, Rebertellis Denny Guicky, "Calculus with analytic geometry", 1982 | | | 3 | Jordan, D.W. & Smith, P. Mathematical Techniques: An introduction for the engineering, physical, and mathematical sciences (3rd edition), Oxford University Press, Oxford, 2002 | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| 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 | | | 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 | |
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| Course Coordinator(s): - |
| - Mohamed Mohamed Eldesouqy Ahmed
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| Head of department: - |
| Mohamed Kamal Abd Elsalam Auf Elkasar |
