الجامعة :جامعة المنصورة |
الكلية :كلية التربية |
القسم :الرياضيات |
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1- بيانات المقرر :- |
| الرمز الكودى: | 07 | اسم المقرر: | جبر | الفرقة: | ثالثة رياضيات | عنوان البرنامج: | - ليسانس الآداب والتربية تعليم أساسي دراسات اجتماعية
| التخصص: | | عدد الساعات: | نظري: | 4 | فصل: | 4 | عملى: | |
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2- أهداف المقرر :- |
| - To prepare the students for high level of linear algebra. It is intended for undergraduate students taking an linear algebra class at the junior level for mathematicians, physicians, statistics and computer science students. As a prerequisite to the linear algebra is the general algebra course "Math(112)" given in the first year and abstract algebra 1 "Math(212)" given in the second year. This course is basic for undergraduate students and is a prerequisite to abstract algebra 2.
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3- نواتج التعلم المستهدفة للمقرر :- |
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4- محتويات المقرر :- |
| م | الموضوع | الأسبوع |
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1 | Systems of linear equations and using Gaussian Elimination and Gauss-Jordan Elimination methods to solve a system of linear equations | | 2 | Matrices defined over a field, operations on matrices, Echelon form | | 3 | Algebra of square matrices, inverse matrix, Another method to solve a system of linear equations. | | 4 | What is a vector space, subspaces, intersection and addition of subspaces | | 5 | Linear combination, basic and dimension of a vector space. | | 6 | Linear transformations and linear operators and its properties. | | 7 | Transformation from basis to another basis. | | 8 | Transformation from basis to another basis. | | 9 | Similar matrices and diagonalization for square matrices. | | 10 | Applications | |
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5- أساليب التعليم والتعلم :- |
| م | الاسلوب |
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| Lectures | | An extensive set of home exercises. | | Internet research |
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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 exam | 12 |
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| ب- توزيع الدرجات |
| م | الطريقة | الدرجة |
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1 | امتحان نصف الترم | | 2 | امتحان آخر الترم | 90 | 3 | الامتحان الشفوى | 10 | 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 | Lecture Notes | | 2 | Linear Algebra, by Symour Lipschuts | | 3 | Linear algebra, by Serge Lang | | 4 | Linear algebra, by Jim Hefferon | |
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9- مصفوفة المعارف والمهارات المستهدفة من المقرر الدراسي |
| م | المحتوى | أسبوع الدراسة |
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| Systems of linear equations and using Gaussian Elimination and Gauss-Jordan Elimination methods to solve a system of linear equations | | | Matrices defined over a field, operations on matrices, Echelon form | | | Algebra of square matrices, inverse matrix, Another method to solve a system of linear equations. | | | What is a vector space, subspaces, intersection and addition of subspaces | | | Linear combination, basic and dimension of a vector space. | | | Linear transformations and linear operators and its properties. | | | Transformation from basis to another basis. | | | Transformation from basis to another basis. | | | Similar matrices and diagonalization for square matrices. | | | Applications | |
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اساتذة المادة: - |
| - الدسوقى التميمى السيد رحمو
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رئيس مجلس القسم العلمى: - |
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