Videos
Variety adds flavour 1
315
Variety adds flavour 2
68
What goes in determines what comes out 1
335
What goes in determines what comes out 2
167
Time for a quick test
86
The family of functions 1
204
The family of functions 2
84
Relations of main importance 1
143
Relations of main importance 2
239
Domain and range are tricky customers 1
131
Domain and range are tricky customers 2
89
Inverse is also a function 1
179
Inverse is also a function 2
136
Introduction to Relations
873
Domain, Range and Codomain of Relation
231
Void, Universal and Identity Relation
565
Reflexive, Symmetric and Transitive Relation
986
Equivalence Relation
1206
Number of Reflexive, Symmetric and Equivalence Relations
1081
Operations on Equivalence Relations
1481
Inverse Relation
522
Function as a Special Relation
744
Domain, Codomain and Range of Function
730
Algebra of Real Functions
998
Implicit and Explicit Functions
495
Bounded and Homogeneous Function
745
Even and Odd Functions
1015
Properties of Even and Odd Functions
2878
One-One/Many One Function
480
Graphical Method to Check One-one/Many-one
752
Algebraic Method to Check One-one/Many-one
784
Calculus Method to Check One-one/Many-one
1149
Onto Functions and Into Functions
597
Bijective Functions
536
Number of Different Types of Functions - I
706
Number of Different Types of Functions - II
2344
Introduction to Composite Functions
774
Composition of Non-uniformly Defined Functions
1370
Domain and Range of Composite Functions
1447
Properties of Composite Functions
3833
Definition of Inverse Function
590
Steps to Find Inverse Function
2872
Properties of Inverse Functions
460
Inverse of Composite Functions
1272
Graph of Inverse Function
571
Introduction to Periodic Functions
559
Properties of Periodic Functions
1640
Period of Combination of Two Functions
2354
Periods of Trigonometric Functions
1203
Composition of Periodic Function
1692
Functional Equations
4700
Introduction to Binary Operations
983
Types of Binary Operations
999
Distributive Binary operation
612
Identity Element
623
Inverse of an element
748
Introduction to Relations
383
Set Builder Form of a Relation
144
Ways of Represenation of Relations
164
Domain, Range and Codomain of a Relation
351
Number of Relations
61
Void Relation and Universal Relation
326
Identity Relation
139
Reflexive Relation
134
Symmetric Relation - I
185
Symmetric Relation - II
132
Transitive Relation
183
Property of Identity Relation
336
Equivalence Relation
198
Number of Reflexive Relations
259
Number of Symmetric Relations
321
Number of Equivalence Relations
439
Intersection & Union of 2 Equivalence Relations
409
Equivalence Class
394
Properties of Equivalence Classes
259
Inverse Relation
312
Properties of Inverse Relation
208
Function as a Special Relation
270
Not All Relations are Functions
243
Total Number of Functions from One Set to the Other Set
214
Image and Pre-image
175
Domain, Codomain and Range of a Function
284
Domain and Range of a Graph
134
Real Valued Function
327
Real Functions
116
Equal Functions
68
Addition and Subtraction of Functions
213
Multiplication of Two Functions
152
Division of Two Real Functions
121
Implicit and Explicit Functions
247
Bounded Functions
379
Homogeneous Functions
156
Even Functions
434
Odd Functions
368
Properties of Even and Odd Functions - I
218
Properties of Even and Odd Functions - II
312
Sum or Difference
409
Product or Divison - I
507
Product or Divison - II
93
Even Extension
304
Odd Extension
265
One-One Functions
285
Many-One Functions
191
Graphical Method to Check - I
580
Graphical Method to Check - II
99
Algebraic Method to Check
396
Calculus Method to Check
569
Onto Functions
252
Into Functions
346
Combinations of One-one, Many-one, Onto & Into
285
Bijective Functions
235
Number of Total Functions
221
Number of One-one & Many-one Functions
488
Inclusion/Exclusion Principle - I
181
Inclusion/Exclusion Principle - II
15
Number of Onto & Into Functions - I
438
Number of Onto & Into Functions - II
364
Number of Constant & Bijective Functions - I
277
Number of Constant & Bijective Functions - II
140
Composite Functions - I
642
Composition of Uniformly Defined Function
128
Composition of Non-Uniformly Defined Function
282
Composition of Three or More Functions
279
Domain of Composite Functions
301
Non-commutative Nature
438
Associative Nature - I
175
Associative Nature - II
329
Composition of One-one Functions
357
Composition of Onto Functions
201
Composite Function is One-one
399
Composite Function is Onto
383
Composition of Even & Odd Functions
644
Introduction to Inverse Functions
268
Conditions for Inverse Function
322
Definition of Inverse Function - I
329
Definition of Inverse Function - II
154
Invertibility of Given Function - II
147
Algebraic Method to Find Inverse - I
141
Algebraic Method to Find Inverse - II
243
Inverse Functions are Bijective
301
Inverse of Composite Functions
352
Inverse of Inverse Function
439
Graph of Inverse Function
302
Intesection Points of Graph of Inverse Function
252
Introduction to Periodic Functions
400
Playing with Periodic Functions.
319
Operations on Periodic Function - I
385
Operations on Periodic Function - II
334
Periods of Trigonometric Functions
468
Sum of Periodic Functions
463
Periodicity of Combinations of Functions - I
325
Periodicity of Combinations of Functions - II
155
Period of Combinations of Functions
200
Powers of Trigonometric Functions - I
431
Powers of Trigonometric Functions - II
231
Periodicity of Composite Functions - I
98
Periodicity of Composite Functions - II
300
Periodicity of Constant Functions - I
318
Periodicity of Constant Functions - II
99
Practice: Periodic Functions - I
81
Practice: Periodic Functions - II
121
Introduction to Functional Equations
366
Some Functional Equations - 1
133
Some Functional Equations - 2
118
Some Functional Equations - 3
103
Some Functional Equations - 4
348
Some Functional Equations - 5
150
Minimum and Maximum Function
297
Introduction to Binary Operations
402
Binary Operations Table
479
Associative Binary operation
216
Distributive Binary operation - I
329
Distributive Binary operation - II
25
Identity Element
365
Inverse of an Element
323
Theorems on Inverse of an Element - I
139
Theorems on Inverse of an Element - II
130
Basics Of Relations
1105
Types Of Relations - I
1552
Types Of Relations - II
1206
More On Relations
2562
Inverse Relation
522
Introduction To Functions
3148
Classification Of Function - I
1240
Classification Of Function - II
1015
Properties Of Even & Odd Functions
2878
One-One/Many-One Functions - I
1232
One-One/Many-One Functions - II
1934
Onto & Into Functions
597
Bijective Function
536
Number Of Functions - I
706
Number Of Functions - II
2344
Composite Functions
774
Properties Of Composite Functions
6650
Inverse Function
590
Steps To Find Inverse Function
2872
Properties Of Inverse Functions - I
460
Properties Of Inverse Functions - II
1272
Properties Of Inverse Functions - III
571
Periodic Function
559
Properties Of Periodic Functions - I
3994
Invertibility of Given Function - I
211
Composite Functions - II
178
Substitution Method to Find Solutions
189
Commutative Binary operation
391
Basics of Relations
1105
Types of Relations - I
1552
Types of Relations - II
1206
More on Relations
2562
Inverse Relation
522
Introduction to Functions
3148
Classification of Function - I
1240
Classification of Function - II
1015
Properties of Even & Odd Functions
2878
One-One/Many-One Functions - I
1232
One-One/Many-One Functions - II
1934
Onto & Into Functions
597
Bijective Function
536
Number of Functions - I
716
Number of Functions - II
2344
Composite Functions
774
Properties of Composite Functions
6650
Inverse Function
590
Steps to Find Inverse Function
2872
Properties of Inverse Functions - I
460
Properties of Inverse Functions - II
1272
Properties of Inverse Functions - III
571
Periodic Function
559
Properties of Periodic Functions - I
3994
Properties of Periodic Functions - II
1204
Properties of Periodic Functions - III
1693
Special Functional Equations
4700
Binary Operations
983
Types of Binary Operations - I
999
Types of Binary Operations - II
613
Identity Element & Inverse Element
1372
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222
892984
202
1375545
90
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66
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308
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369
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293
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114
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563
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160
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379
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426
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491