Sets

Introduction:
Set theory is a branch of mathematics dealing with the characteristics of well-defined collections of objects that may or may not be mathematical in nature, such as numbers or functions. The set theory is more significant as a foundation for accurate and adaptable terminology for the definition of complex and sophisticated mathematical concepts than as a direct application to everyday experience.

The concept of a set is a fundamental aspect of modern mathematics. Today, practically every discipline of mathematics employs this concept. The ideas of relations and functions are defined using sets. The study of geometry, sequences, probability, and other subjects necessitates the understanding of sets. Georg Cantor, a German mathematician, invented the theory of sets (1845-1918). He originally came upon sets while working on "trigonometric series problems." We'll go over some basic set definitions and operations in this chapter.

A Set is an unordered collection of objects, known as elements or members of the set.
An element ‘a’ belonging to a set A can be written as ‘a ∈ A’, ‘a ∉ A’ denotes that a is not an element of the set A.

List of topics according to NCERT and JEE Main/NEET syllabus

1. Sets and their Representations
2. Roster or tabular form
3. Set-builder form

2. Types of Sets

1. Empty Set
2. Finite Sets
3. Infinite Sets
4. Equal Sets

3. Subsets
4. Power Set
5. Universal Set
6. Venn Diagrams
7. Operations on Sets

1. Union of Sets
2. Intersection of Sets
3. Difference of Sets

8. Complement of a Set

Important concepts and Laws

• Sets and their Representations
• Subsets
• Power Set
• Universal Set
• Venn Diagrams
• Union of the Sets
• Intersection of the Sets
• Difference of the Sets
• Complement of a Set

NCERT Notes Subject Wise Link:

• NCERT notes Class 11 Maths
• NCERT notes Class 11 Physics
• NCERT notes Class 11 Chemistry
• NCERT notes Class 11 Biology

Importance of Sets class 11

The concept of a set is a fundamental aspect of modern mathematics. Today, practically every discipline of mathematics employs this concept. The ideas of relations and functions are defined using sets. The study of geometry, sequences, probability, and other subjects necessitates the understanding of sets. Georg Cantor, a German mathematician, invented the theory of sets (1845-1918). He originally came upon sets while working on "trigonometric series problems." We'll go over some basic set definitions and operations in this chapter.

Although, in the JEE test, there is just one question from Sets.

However, it is still important.

Set theory is as a topic is not very important but when its use comes in functions and relations then it becomes a very important and basic concept.

NCERT Solutions Subject wise link:

• NCERT solutions for class 11 Physics.
• NCERT solutions for class 11 Chemistry.
• NCERT solutions for class 11 Mathematics.
• NCERT solutions for class 11 Biology.
  

NCERT Exemplar Solutions Subject wise link:

• NCERT exemplar solutions for class 11 Physics.
• NCERT exemplar solutions for class 11 Chemistry.
• NCERT exemplar solutions for class 11 Mathematics.
• NCERT exemplar solutions for class 11 Biology.