TEORIA DE CONJUNTOS

¡A DIVERTIRSE CON LOS CONJUNTOS!

Keila de León, Reyna Ordoñez, Stephania Zapet 6to. Secretariado “B” 12/02/2013

0

ÍNDICE

Teoría de Conjuntos……………………………………………………………………………………………………………………1 Conjuntos……………………………………………………………………………………………………………………..……………1 Clases y Formas de Conjuntos……………………………………………………………………………………………………..2 Operaciones con Conjuntos………………………………………………………………………………………………………….8 Hoja de Trabajo…………………………………………………………………………………………………………………………...18 Solución de Hoja de Trabajo………………………………………………………………………………...………………………20 Summary………………………………………………………………………………………………………………………………………21 Conclusiones……………………………………………………………………………………………………….……………………….24 Recomendaciones……………………………………………………………………………………….……………………………….25 Conclusions…………………………………………………………………………………………………………………………………26 Recommendations……………………………………………………………………………………………….…..…………………27 Bibliografía…………………………………………………………………………………………………………………………………..28 E-grafía…………………………………………………………………………………………………..…………………………………….28

Uni贸n: A= {1, 3, 5,7}

A = {a, b, c}

B= {1, 2, 3, 4,5}

B = {c, d, e, f}

A U B = {1,2, 3, 4, 5,7}

Intersecci贸n: A = { a, b, c, d, e}

B = { a, e, i, o}

A

B = { a, e}

Diferencia: A = { a, b, c, d, e }

B = { a, e, i, o }

A – B = { b, c, d }

Diferencia SimĂŠtrica:

Plano Cartesiano: A = {1, 2} y B = {3, 4, 5} el producto cartesiano A x B serรก: A x B = {(1, 3),(1, 4),(1, 5),(2, 3),(2, 4),(2, 5)}.

HOJA DE TRABAJO Halle la intersección, unión diferencia, diferencia simétrica, plano cartesiano de las siguientes operaciones de conjuntos.

A={a, e, i , o, u} B={a, b, c, d, e} C={1, a, 2, b, 3, e}

1. AUB

graficar

2. BUA por extensión

3. A∩C graficar y por extensión

4. AUB∩C graficar

5. B-A por extensión

6. A-C graficar

7. A∆B graficar

8. B∆C por extensión

Usa la tablita dada 9. A×B graficar y por extensión

10. B×C graficar y por extensión

Summary This magazine contains all the information about sets its theory, definition, operations, forms, types etc. With this magazine we can learn in a way creative and quickly all about sets.

What is a Set? Is a collection of objects. The elements or members of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on.

There are two ways of describing, or specifying the members of, a set. One way is by intentional definition, using a rule or semantic description. Example: “A” is the set of colors of the Spain flag “B” is the set of colors of the French flag.

The second way is by extension that is, listing each member of the set. An extensional definition is denoted by enclosing the list of members in curly brackets:

C = {4, 2, 1, 3} D = {blue, white, red}.

The sets have twelve different types in which we can operate by five

operations:

union,

intersection,

difference,

symmetric

difference and Cartesian plan. Some of them are: 1. Union: Two sets can be "added" together. The union of A and B, denoted by A ∪ B, is the set of all things which are members of either A or B. Examples: {1, 2} ∪ {red, white} = {1, 2, red, white}.

2. Intersection: A new set can also be constructed by determining which members two sets have "in common". The intersection of A and B, denoted by A ∩ B, is the set of all things which are members of both A and B. Examples: {1, 2, green} ∩ {red, white, green} = {green}.

3. Cartesian plane: A new set can be constructed by associating every element of one set with every element of another set. The Cartesian product of two sets A and B, denoted by A Ă— B is the set of all ordered pairs (a, b) such that a is a member of A and b is a member of B. Examples: {1, 2} Ă— {red, white} = {(1, red), (1, white), (2, red), (2, white)}.

In conclusion our purpose to make this magazine is to help a lot of students to enhance their skills in mathematics and arithmetic, to have more knowledge about sets and make an easy form to understand the sets.

Conclusions 1. The branch of mathematics exist 12 kinds of sets which can help develop different problems.

2. Sets have four different kinds of display, for example: Cartesian plane, Venn Diagram, Descriptive and numbered.

3. The sets also have some operations similar to those which are the

arithmetic

operations:

symmetric difference.

union,

intersection,

difference,

RECOMMENDATIONs 1. Knowing the different types of sets and how they can be represented in different ways.

2. Recognize that there are classes of sets and their representations.

3. Practice sets that exist and to put them into practice in our daily lives.

Bibliografía Pack Matemáticas 3. Todos Juntos Primaria Editorial: Santillana Serie: N.D. Nivel: Primaria Grado: Tercero Código de barras: 7506007580987 Número de páginas: 178

E-grafía http://artigoo.com/clases-de-conjuntos http://es.wikipedia.org/wiki/Teor%C3%ADa_de_conjuntos http://recursostic.educacion.es