كلية العلوم

نموذج رقم(12)

توصيف مقرر دراسي : تفاضل وتكامل - جبر وهندسة

2010 - 2011

الفارابى لإدارة جودة التعليم والتعلم - 4/12/2024

الجامعة :جامعة المنصورة

الكلية :كلية العلوم

القسم :الفيزياء

1- بيانات المقرر :-

2- أهداف المقرر :-

The programme 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. Also, the aims of this course are to provide a basic introduction to various methods of proof used in mathematics and to the fundamental ideas in the study of sets, numbers, functions and conic sections. This course is basic course for biologically students and other students.

3- نواتج التعلم المستهدفة للمقرر :-

4- محتويات المقرر :-

م	الموضوع	الأسبوع
1	Differention: Functions. Limits and continuity.
2	Differentiation: (Basic ideas; tangent to a curve; the product and quotient rule; the chain rule for differentiating f(g(x)); higher derivatives, implicit differentiation)
3	Derivatives of trigonometric functions and their inverse. Derivatives of the log function ln; the exponential function exp and ax.
4	Derivatives of hyperbolic functions and their inverse. Applications of derivatives
5	Integration: Integration
6	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)
7	Applications of Integration
8	Algebra: sets.
9	Determinants – matrices
10	mathematical induction. Partial fractions . Geometry: Translation and Rotation of Axes,
11	complex numbers. Pairs of Straight Lines
12	Conic Sections

5- أساليب التعليم والتعلم :-

م	الاسلوب
	Lectures (4H/W).
	Tutorial (4H/w).

6- أساليب التعليم والتعلم للطلاب ذوى القدرات المحدودة :-

The same as normal students, only skeletal disabilities are allowed in the Faculty of Science.

7- تقويم الطلاب :-

أ- التوقيت

م	الطريقة	الأسبوع
1	final exam	14
2	oral exam	14

ب- توزيع الدرجات

8- قائمة الكتب الدراسية والمراجع

م	العنصر	النوع
1	Course Notes: Available in the Dept.
2	H Edwards, Elementary differential equations with boundary value problems, Pearson Prentice Hall, 2004.
3	H. Anton, Elementary Linear Algebra, Wiley 1994. Linear Algebra, by Seymour Lip schuts.
4	1- W.E. Boyce & R.C. Di Prima, "Elementary Differential Equations and Boundary Value Problems", Wiley. 2- M. Braun, "Differential Equations and their Applications", Springer-Verlag
5	C.H. Edwards & D.E. Penney, "Elementary Differential Equations with Boundary Value Problems", Prentice Hall.
6	5- R.K. Nagle & E.B. Saff, & A.D. Snider, "Fundamentals of Differential Equations and Boundary Value Problems", Addison-Wesley.
7	1- http://en.wikipedia.org/wiki/Calculus 2- http://www.math.niu.edu/~beachy/aaol / 3- http://www.sosmath.com/calculus/calculus.html

9- مصفوفة المعارف والمهارات المستهدفة من المقرر الدراسي

م	المحتوى	أسبوع الدراسة
	Differention: Functions. Limits and continuity.
	Differentiation: (Basic ideas; tangent to a curve; the product and quotient rule; the chain rule for differentiating f(g(x)); higher derivatives, implicit differentiation)
	Derivatives of trigonometric functions and their inverse. Derivatives of the log function ln; the exponential function exp and ax.
	Derivatives of hyperbolic functions and their inverse. Applications of derivatives
	Integration: 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)
	Applications of Integration
	Algebra: sets.
	Determinants – matrices
	mathematical induction. Partial fractions . Geometry: Translation and Rotation of Axes,
	complex numbers. Pairs of Straight Lines
	Conic Sections

اساتذة المادة: -

رئيس مجلس القسم العلمى: -

أحمد حبيب محمد نجيب البسيونى