الجامعة :جامعة المنصورة |
الكلية :كلية التربية |
القسم :الرياضيات |
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| 1- بيانات المقرر :- |
| | الرمز الكودى: | 03 | | اسم المقرر: | تحليل | | الفرقة: | ثالثة رياضيات | | عنوان البرنامج: | | | التخصص: | | | عدد الساعات: | نظري: | 4 | فصل: | 4 | عملى: | |
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| 2- أهداف المقرر :- |
| - A core course unit for second year Mathematics. The main purpose of this course is to provide an informal introduction to the concept of limit in its simplest setting: sequences and series
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| 3- نواتج التعلم المستهدفة للمقرر :- |
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| 4- محتويات المقرر :- |
| | م | الموضوع | الأسبوع |
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| 1 | Bounded sets ,upper and lower limits of functions, Sequences of real numbers, Limits of sequences | | | 2 | Convergence and divergence of sequenc. Bounded and monotone sequences , Cauchy sequences | | | 3 | Real series, Convergent series, the geometric series and the the harmonic series | | | 4 | Series with positive and negative terms. Alternating series test. | | | 5 | Series with non-negative terms, the Comparison , nth root and the Ratio tests | | | 6 | Absolute and conditional convergence, Power series and radius of convergence | | | 7 | Absolute and conditional convergence, Power series and radius of convergence | | | 8 | Convergence Tests: Integral, Rabbe , Logarithimic, De Morgan and Gauss | | | 9 | Series of functions and uniform convergence, Virstrass, Dirchlet tests | | | 10 | Infinite Product of Series | | | 11 | Fourier series, Sin Cos series | |
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| 5- أساليب التعليم والتعلم :- |
| | م | الاسلوب |
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| Three hours of lectures and 3 hours of tutorials | | Tutorial sheets will be handed out in lectures | | Solutions to tutorial problems will be available | | Power point slides are used in this course
Power point slides are used in this course
Power point slides are used in this course
Power point slides are used in this course
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| 6- أساليب التعليم والتعلم للطلاب ذوى القدرات المحدودة :- |
| لا توجد بيانات. |
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| 7- تقويم الطلاب :- |
| أ- التوقيت |
| | م | الطريقة | الأسبوع |
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| 1 | Oral semester exam | 10 | | 2 | Final Exam | 14 |
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| ب- توزيع الدرجات |
| | م | الطريقة | الدرجة |
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| 1 | امتحان نصف الترم | 90 | | 2 | امتحان آخر الترم | 10 | | 3 | الامتحان الشفوى | | | 4 | الامتحان العملى | | | 5 | أعمال الترم | | | 6 | طرق أخرى للتقييم | | | المجموع | 100% |
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| 8- قائمة الكتب الدراسية والمراجع |
| | م | العنصر | النوع |
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| 1 | 6.1- Course Notes(Avaliable in the Dept.) | | | 2 | 6.2- Essential Books (Text Books)Haggerty, Rod ‘Fundamentals of Mathematical Analysis’ Second Edition, Addison-Wesley 1993. | | | 3 | 6.3- Recommended Books,White, A. J., ’Real Analysis, an Introduction’, Addison-Wesley | | | 4 | 6.4- Periodicals, Web Sites, …etc | |
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| 9- مصفوفة المعارف والمهارات المستهدفة من المقرر الدراسي |
| | م | المحتوى | أسبوع الدراسة |
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| Bounded sets ,upper and lower limits of functions, Sequences of real numbers, Limits of sequences | | | Convergence and divergence of sequenc. Bounded and monotone sequences , Cauchy sequences | | | Real series, Convergent series, the geometric series and the the harmonic series | | | Series with positive and negative terms. Alternating series test. | | | Series with non-negative terms, the Comparison , nth root and the Ratio tests | | | Absolute and conditional convergence, Power series and radius of convergence | | | Absolute and conditional convergence, Power series and radius of convergence | | | Convergence Tests: Integral, Rabbe , Logarithimic, De Morgan and Gauss | | | Series of functions and uniform convergence, Virstrass, Dirchlet tests | | | Infinite Product of Series | | | Fourier series, Sin Cos series | |
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| اساتذة المادة: - |
| - حنان السيد عوض درويش
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| رئيس مجلس القسم العلمى: - |
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