Videos
Introduction to Relations
382
Ordered Pairs
266
Equality of Ordered Pair
171
Cartesian Product
166
Cardianality of Cartesian Product
167
Commutative Property of Cartesian Product
113
Ordered Triplets or 3 -Tuples
178
Set Builder form of a Relation
144
Ways of Represenation of Relations
162
Domain, Range, Codomain and inverse of a relation
350
Function as a Special Relation
269
Not All Relations are Functions
243
Total Number of Functions from One Set to the Other Set
213
Representation of Functions: Roster & Set Builder form
337
Representation of Functions: Graphical Method
244
Image and Pre-image
176
Domain ,Codomain and Range of a Function
284
Domain and Range of a Graph
134
Real valued function
327
Real functions
115
Equal Functions
67
Addition and Subtraction of Functions
213
Multiplication of two Functions
152
Division of two real functions
120
Vertical Line Test
206
Different Types of Functions
368
Introduction to Polynomial Functions
181
Types of Polynomial Function: Constant Polynomial
179
Types of Polynomial Function: Linear Polynomial
122
Types of Polynomial Function: Quadratic Polynomial
92
Types of Polynomial Function: Cubic & Higher Degree Polynomial
83
Rational Functions
264
Irrational Functions
66
Domain of Rational and Irrational Functions
217
Range of Rational and Irrational functions Using Graph
335
Practice: Representation of Relations
34
Introduction to Modulus Function
242
Graph, Domain & Range of Modulus Function
371
Modulus Functions of the Form |x ± a|
227
Introduction to Signum Function
242
Relationship between Signum and Modulus Function
132
Graph, Domain & Range of Signum Function
134
Properties of Modulus Function: |x|^2=x^2 & √x^2=|x|
303
Properties of Modulus Function: ||x||=|x|=|-x|
122
Properties of Modulus Function: | x + y | ≤ |x|+|y|
176
Properties of Modulus Function: |x+y| = |x| + |y|; xy≥0
192
Properties of Modulus Function: | x - y | = |x|+|y|; xy≤0
123
Properties of Modulus Function: |x| ≤ a & |x| ≥ a forall a≥0
257
Properties of Modulus Function: |x| ≤ a & |x| > a forall a<0
124
Properties of Modulus Function: a≤|x| ≤ b forall a, b>0
185
Introduction to Greatest Integer Function
286
Introduction to Greatest Integer Function
125
Mathematical Definition of Greatest Integer Function
94
Domain, Range and Graph of Greatest Integer Function
242
Introduction to Fractional Part Function
289
Fractional Part of an Integer
117
Graph of Fractional Part Function
140
Domain and Range of Fractional Part Function
169
"Properties of Greatest Integer Function: [x] ≤ x < [x]+1"
242
"Properties of Greatest Integer Function: [x] - 1 < [x] ≤ x"
123
Properties of Greatest Integer Function [[x]]=[x]
58
"Properties of Greatest Integer Function: [x]+[-x]"
423
"Properties of Greatest Integer Function: [x]-[-x]=2x if x belongs to Z "
96
Properties of Greatest Integer Function [x+-n]=[x]+-n, n belongs to Z
268
Properties of Greatest Integer Functions [x]>=n implies x>=n
223
Properties of Greatest Integer Function: [x]>n implies x>=n+1
162
Properties of Greatest Integer Function: [x] ≤ n ⇒ x<n+1 & [x]<n ⇒ x<n
201
Properties of Greatest Integer Function: [x]=[x/2]+[(x+1)/2]
146
"Properties of Greatest Integer Function: [x]+[y] ≤ [x+y] ≤ [x]+[y]+1"
356
Properties of Fractional Part Function:{x}=x for 0<=x<1 & {x}=0 for x in Z
163
Properties of Fractional Part Function:{-x}=1-{x} x not in Z
196
Properties of Fractional Part Function:{x+-n}={x}, n in Z
242
Introduction to Exponential Function with a>1
318
Domain and Range of Exponential Function
156
Comparing Function Values at Two Points for a>1
168
Graph, Domain and Range of the Exponential Function with 0<a<1
247
Comparing Graphs of Exponential Functions where a>1 and 0<a<1
156
Definition & Introduction of Logarithmic function
287
Graph,Domain, Range of Logarithmic Function
200
Properties of Logarithmic Function - I
80
Properties of Logarithmic Function - II
94
Properties of Logarithm Involving Inequalities
175
Practice: Properties of Logarithmic Functions - II
162
Practice: Properties of Logarithmic Functions - III
151
Practice: Properties of Logarithmic Functions - IV
220
Number of Relations
61