Faculty of Science

Model (No 12)

Course Specification : جبر وهندسة

2010 - 2011

 
Farabi Quality Management of Education and Learning - 21/11/2024
University :Mansoura University
Faculty :Faculty of Science
Department :Mathematics Department
1- Course data :-
Code: 11117
Course title: جبر وهندسة
Year/Level: أولى رياضة وفيزياء
Program Title:
  • Mathematics
Specialization:
Teaching Hours: Theoretical: 4Tutorial: 4Practical:
2- Course aims :-
  1. 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.
  2. 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- Course Learning Outcomes :-
4- Course contents :-
NoTopicsWeek
1Equivlent relations, equivalence classes, partitions and partial order .
2Maps, compostion of maps, kinds of maps and inverse functions,
3permutation on finite sets.equivalent sets and cardinality of sets, binary operations, examples of groups and fields.
4Equations of straight line- The common eqution of pair of straight lines
5Introduction to conic section- parabola -ellipse and hyperbola.
6The general equation of the second degree in two variables
7polar coordinates and polar equations of some plane curves
8Mathematical induction.
9Partial fractions
10Binonial theorem
11simple method for sum of series
12Solution of cubic equations
13Solution of 4th degree equations
14Sets, subsets, set operations and inductiely definition of sets

5- Teaching and learning methods :-
SMethod
4 hours lecture weekly with exercise sheets and solution sheet
Weekly 4 hour tutorials in groups
Using Internet facilities

6- Teaching and learning methods of disables :-
  1. -

7- Student assessment :-
A. Timing
NoMethodWeek
1Oral exam14
2Final exam16
B. Degree
NoMethodDegree
1Mid_term examination0
2Final_term examination90
3Oral examination 10
4Practical examination 0
5Semester work0
6Other types of asessment0
Total100%

8- List of books and references
SItemType
1Lecture Notes
2E. 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
4http://mathworld.wolfram.com/Abacus.html
5P.J. Eccles, An Introduction to Mathematical Reasoning: Numbers, Sets and Functions, Cambridge University Press, 1997.
6http://www.math.niu.edu/~beachy/aaol

9- Matrix of knowledge and skills of the course
SContentStudy week
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

Course Coordinator(s): -
  1. Awatef Mohamed Abd Elghany Shahin
Head of department: -
Ahmed Habeb Mohamed Nageb Elbassiony