Unit-I: Sets and Functions
Unit-II: Algebra
Unit-III: Coordinate Geometry
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability

Introduction

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The theory of sets was developed by German mathematician Georg Cantor (1845-1918).

Definition:

A set is a collection of well-defined objects.

There are two methods of representing a set:

 (i) Roster or tabular form.

(ii) Set-builder form.

Example of Sets:

(a) The rivers of India.

(b) The vowels in the English alphabet.

(c) The set of all natural numbers.

(i) Roster form

 N= \{1,2,3,...\}

A =\{\text { Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday }\}

(ii) Set-builder form:

N =\{x | x \in N\}

P = \{x | x =\dfrac{1}{n}, n \in N\}

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