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# Asra parveen

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### Asra parveen

1. 1. ISLAMIA COLLEGE OF EDUCATION YAKHUTPURA, HYDERABAD
2. 2. COMPUTER PROJECT 2011-12Submitted by:
3. 3. SYNOPSIS1. Introduction 10. Union of sets2. Concepts of sets 11. Intersection of sets3. Null set 12. Difference of two sets4. Finite and infinite sets 13. Set and its complement5. Equality of two set6. Cardinal no of set7. Subset8. Universal set9. Venn diagrams
4. 4. SET THEORYSET THEORY PLAY AN IMPORTANT ROLE IN MATHEMATICS IN UNIFYING ITS DIFFERENTBRANCHES. SET THEORY WAS DEVELOPED BY GERMAN SCIENTIST GEORGE CANTOR.
5. 5. CONCEPT OF SETSA SET IS A WELL DEFINED COLLECTION OF OBJECTS.OBJECTS ARE THE ELEMENTS OF SETS.A SET IS SAID TO BE WELL DEFINED IF, GIVEN AN OBJECT WE CAN DECIDE WHETHER IT ISAN ELEMENT OF A SET OR NOT.
6. 6. CARDINAL NUMBER OF A SETCARDINAL NUMBER OF A SET:THE NUMBER OF ELEMENTS IN A SET IS CALLED THE CARDINAL NUMBER OF THE SET.
7. 7. TYPES OF SETS NULL SET: NULL SET IS A SET WITH NO ELEMENTS IN IT.
8. 8. FINITE AND INFINITE SETSFINITE SETS :A SET WITH FINITE NUMBER OF ELEMENTS IS CALLED A FINITE SET.INFINITE SETS :A SET WITH INIFINITE NUMBER OF ELEMENTS IS CALLED AN INFINITE SET.
9. 9. EQUAL SETTWO SETS ARE SAID TO BE EQUAL IF EVERY ELEMENT OF ONE SET IS SAME AS THE OTHERSET.
10. 10. SUB SET N C WC I C Q A SET “A” IS A SUBSET OF B, IF AND ONLY IF EVERY ELEMENT OF A IS ALSO AN ELEMENT OF B. IT IOS DENOTED AS: A C B.
11. 11. UNIVERSAL SETALL SETS UNDER CONSIDERATION WILL BE SUBSET OF FIXED SET. THIS FIXED SET ISCALLED UNIVERSAL SET.It is denoted as µ
12. 12. VENN DIAGRAMSSIMPLE CLOSED FIGURES ARE USED TO REPRESENT SET. THESE CLOSED FIGURES AREFIRST USED IN 1880 BY JOHN VENN AN ENGLISH MATHEMATICIAN. THESE FIGURES WEREALSO USED BY LEONARD EULER, (1707- 1783) THE GREAT SWISS MATHEMATICIAN. SOTHESE CLOSED FIGURES ARE CALLED VENN-EULER DIAGRAMS SIMPLY VENN DIAGRAMS.ANY SIMPLE CLOSED FIGURE IS USE TO REPRESENT A SET.
13. 13. BASIC SET OPERATIONSUNION OF SETS:UNION OF TWO SETS A AND B IS THE SET OF ALL ELEMENTS OF A TOGETHER WITH ALLELEMENTS OF B. IT IS REPRESENTED AS A U B AND READ AS A UNION B.
14. 14. INTERSECTION OF TWO SETSTHE INTERSECTION OF SETS A AND B IS THE SET OF ELEMENTS WHICH ARE COMMON TOA AND B. IT IS WRITTEN AS A / B AND READ AS A INTERSECTION B.
15. 15. DIFFERENCE OF TWO SETSTHE ELEMENTS THAT ARE IN A AND NOT IN B WILL FORM NEW SET.THIS IS DENOTED BY A-B AND IS READ AS THE DIFFERENCE OF SETS A AND B.
16. 16. COMPLEMENT OF SETTHE COMPLEMENT OF A SET A IS THE SET OF ALL ELEMENTS IN THE UNIVERSAL SET µ BUTNOT IN A.
17. 17. 1B-17ACKNOWLEDGEMENT INTEGRATED TECHNOLOGY CUSTOM ANIMATION MULTIMEDIA MS-WORD CLIP ART INTERNET
18. 18. 1B-18I ASRA JABEEN thereby declare that as a part of myB.Ed(course 2011-2012) the computer project issuccessfully completed on the topic ”SETS”.•With this project I have learnt how multimedia is usefulin imparting knowledge to students.• Multimedia is useful to learn, to think effectively anddecision making.With this project I have learn how tomake teaching in an effective manner.This project isguided by my lecturer Ms.Abida sultana.
19. 19. BIBLOGRAPHYIntroduction to Computers , Peter NortonMcGraw-Hill.www.mhhe.com/peternortonwww.google.com
20. 20. Thank you