University :Mansoura University |
Faculty :Faculty of Science |
Department :Mathematics Department |
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| 1- Course data :- |
| | Code: | 11116 | | Course title: | تفاضل وتكامل (ب) | | Year/Level: | أولى رياضة وفيزياء | | Program Title: | | | Specialization: | | | Teaching Hours: | Theoretical: | 3 | Tutorial: | 3 | Practical: | |
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| 2- Course aims :- |
| - This course is designed to cover standard methods of integration, besides methods of solving particular classes of simple differential equations,so as to guarantee a solid foundation for the applications of calculus to follow in later courses.
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| 3- Course Learning Outcomes :- |
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| 4- Course contents :- |
| | No | Topics | Week |
|---|
| 1 | Review of basic formulae from trigonometry and algebra: polynomials, trigonometric and hyperbolic functions, exponentials and logsb | | | 2 | Riemann’s Integral - Integration by substitution-Integratin of trigonometric and hyperbolic functions - Integration of parts - Integration of rational functions by partial fractions- Integration of parameter dependent functions | | | 3 | A definite integral as an area and the fundamental theorem of calculus - Particular definite integrals by ad hoc methods. Definite integrals by substitution and by parts | | | 4 | Improper integrals . | | | 5 | Volumes and surfaces of revolution. | | | 6 | McLaurin’s and Taylor’s theorem, numerical approximations | |
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| 5- Teaching and learning methods :- |
| | S | Method |
|---|
| 3- Three hours Lectures to introduce theory and concepts | | Three hours tutorials weekly |
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| 6- Teaching and learning methods of disables :- |
| - nothing
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| 7- Student assessment :- |
| A. Timing |
| | No | Method | Week |
|---|
| 1 | oral | 14 | | 2 | final | 15 |
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| B. Degree |
| | No | Method | Degree |
|---|
| 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 prepared by academic staff members in the Department | | | 2 | Haggerty, Rod ‘Fundamentals of Mathematical Analysis’ Second Edition, Addison-Wesley 1993. | | | 3 | Haggerty, Rod ‘Fundamentals of Mathematical Analysis’ Second Edition, Addison-Wesley 1993. | | | 4 | http://www.math.scar.utoronto.ca/calculus/Redbook/ | | | 5 | http://www.uwm.edu/Dept/Math/Resources/Calculus/Key/ | | | 6 | http://math.ucalgary.ca/~ling/calculus/calculusnotes.htm | | | 7 | http://www.ugrad.math.ubc.ca/coursedoc/math101/notes/ | |
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| 9- Matrix of knowledge and skills of the course |
| | S | Content | Study week |
|---|
| Review of basic formulae from trigonometry and algebra: polynomials, trigonometric and hyperbolic functions, exponentials and logsb | | | Riemann’s Integral - Integration by substitution-Integratin of trigonometric and hyperbolic functions - Integration of parts - Integration of rational functions by partial fractions- Integration of parameter dependent functions | | | A definite integral as an area and the fundamental theorem of calculus - Particular definite integrals by ad hoc methods. Definite integrals by substitution and by parts | | | Improper integrals . | | | Volumes and surfaces of revolution. | | | McLaurin’s and Taylor’s theorem, numerical approximations | |
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| Course Coordinator(s): - |
| - Mohamed Samir Mahmoud Qasem
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| Head of department: - |
| Ahmed Habeb Mohamed Nageb Elbassiony |
