كلية العلوم

نموذج رقم(12)

توصيف مقرر دراسي : جبر وهندسة

2010 - 2011

الفارابى لإدارة جودة التعليم والتعلم - 22/12/2024

الجامعة :جامعة المنصورة

الكلية :كلية العلوم

القسم :الرياضيات

1- بيانات المقرر :-

2- أهداف المقرر :-

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 and functions. This course is basic course for mathematicians, physicians, statistics, computer science and other students. This course is a prerequisite to the linear algebra course and abstract algebra which will be given in the second year.
The aim of the course is to give an introduction to the basic ideas of geometry and topology it is intended for undergraduate students taking a general algebra class at the junior level for mathematicians, physicians, statistics, computer science and other students. This course is basic course for undergraduate students. This course also aims to develop students knowledge in the basic geometric properties and equations of straight lines and conic sections.

3- نواتج التعلم المستهدفة للمقرر :-

4- محتويات المقرر :-

م	الموضوع	الأسبوع
1	Equivlent relations, equivalence classes, partitions and partial order .
2	Maps, compostion of maps, kinds of maps and inverse functions,
3	permutation on finite sets.equivalent sets and cardinality of sets, binary operations, examples of groups and fields.
4	Equations of straight line- The common eqution of pair of straight lines
5	Introduction to conic section- parabola -ellipse and hyperbola.
6	The general equation of the second degree in two variables
7	polar coordinates and polar equations of some plane curves
8	Mathematical induction.
9	Partial fractions
10	Binonial theorem
11	simple method for sum of series
12	Solution of cubic equations
13	Solution of 4th degree equations
14	Sets, subsets, set operations and inductiely definition of sets

5- أساليب التعليم والتعلم :-

م	الاسلوب
	4 hours lecture weekly with exercise sheets and solution sheet
	Weekly 4 hour tutorials in groups
	Using Internet facilities

6- أساليب التعليم والتعلم للطلاب ذوى القدرات المحدودة :-

7- تقويم الطلاب :-

أ- التوقيت

م	الطريقة	الأسبوع
1	Oral exam	14
2	Final exam	16

ب- توزيع الدرجات

8- قائمة الكتب الدراسية والمراجع

م	العنصر	النوع
1	Lecture Notes
2	E. Swokowski, M. Olinick & D.Pence, (1994) "Calculus", 6th Edition, PWS Publishing Co
3	"An introduction to analytical geometry and calculus ",A.C.Burdette, Academic press , London 1969
4	http://mathworld.wolfram.com/Abacus.html
5	P.J. Eccles, An Introduction to Mathematical Reasoning: Numbers, Sets and Functions, Cambridge University Press, 1997.
6	http://www.math.niu.edu/~beachy/aaol

9- مصفوفة المعارف والمهارات المستهدفة من المقرر الدراسي

م	المحتوى	أسبوع الدراسة
	Equivlent relations, equivalence classes, partitions and partial order .
	Maps, compostion of maps, kinds of maps and inverse functions,
	permutation on finite sets.equivalent sets and cardinality of sets, binary operations, examples of groups and fields.
	Equations of straight line- The common eqution of pair of straight lines
	Introduction to conic section- parabola -ellipse and hyperbola.
	The general equation of the second degree in two variables
	polar coordinates and polar equations of some plane curves
	Mathematical induction.
	Partial fractions
	Binonial theorem
	simple method for sum of series
	Solution of cubic equations
	Solution of 4th degree equations
	Sets, subsets, set operations and inductiely definition of sets

اساتذة المادة: -

رئيس مجلس القسم العلمى: -

أحمد حبيب محمد نجيب البسيونى