Function & Relation

1)Function and its Types

TOPIC 1 :  Functions

TOPIC 2 :  Types of Functions-I

TOPIC 3 :  Types of Functions- II

TOPIC 4  :  Types of Functions-III (Even, Odd and Periodic functions

TOPIC 5 :  Algebraic Functions

TOPIC 6 :  Polynomial, Modulus and Signum Functions

TOPIC 7 :  Greatest and Least Integer FunctionS

TOPIC 8 : Integral and Fractional Part Functions

TOPIC 9 :  Equalities of functions

2)Relation and its Types 


TOPIC 1 :  Introduction to RelationS

TOPIC 2 :  Types of Relations-I

TOPIC 3 :   Types of Relations - II(a)

TOPIC 4 :  Equivalence Relations

3 )  Algebraic Operations on Functions


TOPIC 1 :  Multiplication of a Function By a Scalar

TOPIC 2 :  Multiplication of Two Functions

4 )  Graphs of Functions

TOPIC 1 :  Wavy Curve Method

TOPIC 2 :  Transformation of Graphs-I

TOPIC 3 :  Transformation of Graphs-II

TOPIC 4 :  Transformation of Graphs-III

TOPIC 5 :  Graphs of Rational Functions

TOPIC 6 :  Graphs of Logarithmic Functions

TOPIC 7 :  Graphs of Exponential Functions

5 ) Composite and Invertible Functions


TOPIC 1 :  Composite Functions

TOPIC 2 :  Inverse Functions and their Properties

TOPIC 3 :  Graph of Inverse Function and Condition for Inverse to Exist

TOPIC 4 :  Finding Inverse of Functions

6 ) Transformations of Functions


TOPIC 1 :  Transform y = f(x) to |y| = f(x)

TOPIC 2 :  Transform y = f(x) to y = |f(x)|

TOPIC 3 :  Transform y = f(x) to y = f(|x|)

TOPIC 4 :  Graphically Transform the Function f(x) to 1/ f(x)

TOPIC 5 :  Graphically Transform the Function f(x) to [f(x)]

TOPIC 6 :  Graphically Transform the Function f(x) to f([x])

7 )  Inequalities Involving Functions


TOPIC 1 :  Inequalities involving Algebraic Functions

TOPIC 2 :  Solve Problems on Inequalities Involving Least Integer Function

TOPIC 3 : Problems on Inequalities of Fractional Part Function

TOPIC 4 : Solve Problems on Inequalities Involving Irrational Functions

TOPIC 5 : Identify Piecewise Continuous Functions

TOPIC 6 :  Solve Problems on Inequalities Involving Signum Function

8 ) Unary Functions and Binary Operations


TOPIC 1 : Unary Functions

TOPIC 2 :  Commutativity of Binary Operations

TOPIC 3 : Associativity of Binary Operations

TOPIC 4 :  Identity Element of Binary Operations

TOPIC 5 :  Introduction to Binary Operations

TOPIC 6 :  Problems on Associativity of Binary Operations

TOPIC 7 :  Problems on Commutativity of Binary Operations

TOPIC 8 :  Inverse of Binary Operations

9 ) Group Theory


TOPIC 1 :  How to Recognise Groups

TOPIC 2 :  Introduction to Groups