الجامعة :جامعة المنصورة |
الكلية :كلية العلوم |
القسم :الرياضيات |
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| 1- بيانات المقرر :- |
| | الرمز الكودى: | 20103 | | اسم المقرر: | رياضيات (1) | | الفرقة: | أولى الكيمياء | | عنوان البرنامج: | | | التخصص: | | | عدد الساعات: | نظري: | 3 | فصل: | 3 | عملى: | |
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| 2- أهداف المقرر :- |
| - The program unit aims to provide a firm foundation in the concepts and techniques of the calculus, including real numbers, standard functions, curve sketching, limits, continuity, differentiation, integration of functions of one variable. The core concepts of limits, differentiation and integration are revised. Techniques for applying the calculus are developed and strongly reinforced.
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| 3- نواتج التعلم المستهدفة للمقرر :- |
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| 4- محتويات المقرر :- |
| | م | الموضوع | الأسبوع |
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| 1 | Numbers and Functions | | | 2 | Limits and continuity. | | | 3 | Differentiation: (Basic ideas; tangent of curve; the product and quotient rule; the chain rule); higher derivatives and leibniz rule | | | 4 | Derivatives of trigonometric functions and their inverse | | | 5 | Derivatives of the log function and ln function; the exponential function | | | 6 | Derivatives of hyperbolic functions and their inverse | | | 7 | Applications of derivatives | | | 8 | Integration | | | 9 | Techniques of Integration: (Integration by substitution-Integration of trigonometric and hyperbolic functions - Integration of parts - Integration of rational functions by partial fractions- Integration of parameter dependent functions) | | | 10 | Application of integration | |
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| 5- أساليب التعليم والتعلم :- |
| | م | الاسلوب |
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| Lectures (3H/W) | | Tutorial (3H/w) |
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| 6- أساليب التعليم والتعلم للطلاب ذوى القدرات المحدودة :- |
| - no
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| 7- تقويم الطلاب :- |
| أ- التوقيت |
| | م | الطريقة | الأسبوع |
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| 1 | Oral Examination | 10 | | 2 | Final-Term Examination | 15 |
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| ب- توزيع الدرجات |
| | م | الطريقة | الدرجة |
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| 1 | امتحان نصف الترم | 0 | | 2 | امتحان آخر الترم | 90 | | 3 | الامتحان الشفوى | 10 | | 4 | الامتحان العملى | 0 | | 5 | أعمال الترم | 0 | | 6 | طرق أخرى للتقييم | 0 | | المجموع | 100% |
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| 8- قائمة الكتب الدراسية والمراجع |
| | م | العنصر | النوع |
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| 1 | Lecture Notes | | | 2 | Howard Anton, Calculus, John Wily & Sons, INC 1999 | | | 3 | Jordan, D.W. & Smith, P. Mathematical Techniques: An introduction for the engineering, physical, and mathematical sciences (3rd edition), Oxford University Press, Oxford, 2002 | | | 4 | James Stewart, Calculus, Early Transcendentals, Thomson, 5th Edition, International Student Edition, 2003. | | | 5 | E. Swokowski, M. Olinick & D.Pence, "Calculus", PWS Publishing Co | | | 6 | Donald A. McQuarrie (2003). Mathematical Methods for Scientists and Engineers, University Science Books. ISBN 9781891389245 | | | 7 | http://en.wikipedia.org/wiki/Calculus | | | 8 | http://www.essex.ac.uk/maths/ps/ug/courses.shtm | | | 9 | http://www.sosmath.com/calculus/calculus.html | |
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| 9- مصفوفة المعارف والمهارات المستهدفة من المقرر الدراسي |
| | م | المحتوى | أسبوع الدراسة |
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| Numbers and Functions | | | Limits and continuity. | | | Differentiation: (Basic ideas; tangent of curve; the product and quotient rule; the chain rule); higher derivatives and leibniz rule | | | Derivatives of trigonometric functions and their inverse | | | Derivatives of the log function and ln function; the exponential function | | | Derivatives of hyperbolic functions and their inverse | | | Applications of derivatives | | | Integration | | | Techniques of Integration: (Integration by substitution-Integration of trigonometric and hyperbolic functions - Integration of parts - Integration of rational functions by partial fractions- Integration of parameter dependent functions) | | | Application of integration | |
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| اساتذة المادة: - |
| - محمد محمد الدسوقى أحمد
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| رئيس مجلس القسم العلمى: - |
| أحمد حبيب محمد نجيب البسيونى |
