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Sets, Functions and Groups
Federal
Class 11
Math (
Total Videos: 1130
)
Preference
All Chapters
Chapter 1: Numbers System
Chapter 2: Sets, Functions and Groups
Chapter 3: Matrices and Determinants
Chapter 4: Quadratic Equations
Chapter 5: Partial Fractions
Chapter 6: Sequences and Series
Chapter 7: Permutation, Combination and Probability
Chapter 8: Mathematical Inductions and Binomial Theorems
Chapter 9: Fundamentals of Trigonometry
Chapter 10: Trigonometric Identities Sum and Difference of Angles
Chapter 11: Trigonometric Functions and Their Graphs
Chapter 12: Application of Trigonometry
Chapter 13: Inverse Trigonometric Functions
Chapter 14: Solutions of Trigonometric Equations
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 2 Sets, Functions and Groups (
265 videos
)
(
Practice Test
)
2.1: Introduction (
Practice Test
)
Set Definition
66158 views
Problem-Set Definition
3598 views
Set Notation and its Characteristics
14544 views
Problem-Set Notation & its Characteristics
1665 views
Problem-Presentation of a Set
490 views
Empty set and Singleton Set
4448 views
Problem1-Empty Set -Singleton Set
1822 views
Problem2-Empty Set & Singleton Set
387 views
Finite and infinite Sets
4883 views
Problem-Finite and infinite Sets
1343 views
Problem-Finite & Infinite Set
298 views
Subset definition
3582 views
Problem-Subset
2292 views
Problem-Subset Definition
757 views
Proper and Improper Subset
13991 views
Problem-Proper and Improper Subset
5085 views
Properties of Subsets
2340 views
Problem-Properties of Subsets
1504 views
Power Set
5474 views
Problem-Power Set
1792 views
Equal and equivalent Sets
5881 views
Problem-Equal and equivalent Sets
1728 views
Universal Set
3818 views
Concept of one to one correspondence
3402 views
Some Important Sets of Numbers
18995 views
Descriptive and Tabular Notation
7613 views
Problem-Set Builder Notation
1875 views
Order of a Set
2170 views
Problem-Order of a Set
1098 views
Interval Notation of a Set
1171 views
2.2: Operations on Sets (
Practice Test
)
Disjoint Sets
3566 views
Overlapping Sets
3569 views
Union of two sets
6344 views
Problem-Union of two sets
1534 views
Exhaustive Sets and Cells
1460 views
Intersection of two sets
3447 views
Problem-Intersection of two sets
1228 views
Difference of two sets
4152 views
Symmetric Difference of two sets
1501 views
Problem-Symmetric Difference of two sets
1114 views
Complement of a Set
4330 views
Problem-Complement of a Set
1348 views
2.3: Venn Diagrams (
Practice Test
)
Introducing Venn Diagram
10489 views
Problem-Introducing Venn Diagram
3237 views
Difference of Sets for Overlapping Sets
1990 views
Problem-Difference of Sets for Overlapping Sets
785 views
Difference of Sets for Disjoint Sets
945 views
Problem-Difference of Sets for Disjoint Sets
628 views
Difference of Sets for a Set & its Subset
735 views
Problem-Difference of Sets for Set and its Subset
635 views
Complement of Union for Overlapping Sets
1088 views
Problem-Complement of Union for Overlapping Sets
851 views
Complement of Intersection for Overlapping Sets
786 views
Problem-Complement of Intersection for Overlapping Sets
588 views
Complement of Intersection for Disjoint Sets
709 views
Problem-Complement of Intersection for Disjoint Sets
519 views
Complement of Union for Disjoint Sets
697 views
Problem-Complement of Union for Disjoint Sets
517 views
Complement of Union for Set & its Subset
613 views
Problem-Complement of Union for Set & its Subset
479 views
Complement of Intersection for Set & its Subset
599 views
Problem-Complement of Intersection for Set-Subset
575 views
De Morgans Law for Overlapping Sets
1221 views
Problem-De Morgans Law for Overlapping Sets
838 views
Identity Laws
640 views
Problem-Identity Laws
330 views
Laws of Complement
639 views
Problem-Laws of Complement
242 views
Idempotent Laws
325 views
Problem-Idempotent Laws
242 views
De Morgans Law for Disjoint Sets
725 views
Problem-De Morgans Law for Disjoint Sets
528 views
De Morgans Law for Set & its Subset
609 views
Problem-De Morgans Law for Set & its Subset
574 views
2.4: Operations on Three Sets (
Practice Test
)
Associativity of Union of three sets
4106 views
Problem-Associativity of Union of three sets
1025 views
Associativity of Intersection of three sets
2778 views
Problem-Associativity of Intersection of three sets
771 views
Distributivity of Union over Intersection
2085 views
Problem-Distributivity of Union over Intersection
781 views
Double Complementation Law
1842 views
Problem-Double Complementation Law
447 views
Union and Intersection on three sets
661 views
Commutativity of Union
2858 views
Commutativity of Intersection
1500 views
Distributivity of Intersection over Union
1358 views
Problem-Distributivity of Intersection over Union
321 views
Distributive Property of Cartesian Product Over Union
379 views
Problem-Distributive Property of Cartesian Product Over Union
227 views
Distributive Property of Cartesian Product Over Intersection
253 views
Problem-Distributive Property of Cartesian Product Over Intersection
233 views
Distributive Property of Cartesian Product Over Difference
249 views
Problem-Distributive Property of Cartesian Product Over Difference
193 views
Identity With Respect to Intersection
227 views
Problem-Identity With Respect to Intersection
233 views
2.5: Properties of Union and Intrersection (
Practice Test
)
Associativity of Union of three sets
4106 views
Problem-Associativity of Union of three sets
1025 views
Associativity of Intersection of three sets
2778 views
Problem-Associativity of Intersection of three sets
771 views
Distributivity of Union over Intersection
2085 views
Problem-Distributivity of Union over Intersection
781 views
De Morgans Law
5114 views
Problem-De Morgans Law
1114 views
More on De Morgans Law
2469 views
Problem-More on De Morgans Law
664 views
Introducing Venn Diagram
10489 views
Problem-Introducing Venn Diagram
3237 views
Commutative Law of Union of Sets
3535 views
Problem-Commutative Law of Union of Sets
1323 views
Commutative Law of Intersection of Sets
1987 views
Problem-Commutative Law of Intersection of Sets
809 views
Intersection Associativity for Overlapping Sets
2640 views
Problem-Intersection Associativity for Overlapping Sets
885 views
Intersection Associativity for Disjoint Sets
815 views
Problem-Intersection Associativity for Disjoint Sets
606 views
Intersection Associativity for Sets
679 views
More on Intersection Associativity for Sets
619 views
Problem1-Intersection Associativity for Sets
531 views
Problem2-Intersection Associativity for Sets
499 views
Union Associativity for Overlapping Sets
2723 views
Problem-Union Associativity for Overlapping Sets
522 views
Union Associativity for Disjoint Sets
572 views
Problem-Union Associativity for Disjoint Sets
457 views
Union Associativity for Sets
598 views
Problem-Union Associativity for Sets
428 views
More on Union Associativity for Set
517 views
Problem-More on Union Associativity for Set
410 views
Distributivity of Union Over Intersection of Sets
2622 views
Problem- Set Distributivity of Union Over Intersection
647 views
Distributivity of Intersection Over Union of Sets
1974 views
Problem-Set Distributivity of Intersection Over Union
568 views
Difference of Sets for Overlapping Sets
1990 views
Problem-Difference of Sets for Overlapping Sets
785 views
Difference of Sets for Disjoint Sets
945 views
Problem-Difference of Sets for Disjoint Sets
628 views
Difference of Sets for a Set & its Subset
735 views
Problem-Difference of Sets for Set and its Subset
635 views
Complement of Union for Overlapping Sets
1088 views
Problem-Complement of Union for Overlapping Sets
851 views
Complement of Intersection for Overlapping Sets
786 views
Problem-Complement of Intersection for Overlapping Sets
588 views
Complement of Intersection for Disjoint Sets
709 views
Problem-Complement of Intersection for Disjoint Sets
519 views
Complement of Union for Disjoint Sets
697 views
Problem-Complement of Union for Disjoint Sets
517 views
Complement of Union for Set & its Subset
613 views
Problem-Complement of Union for Set & its Subset
479 views
Complement of Intersection for Set & its Subset
599 views
Problem-Complement of Intersection for Set-Subset
575 views
De Morgans Law for Overlapping Sets
1221 views
Problem-De Morgans Law for Overlapping Sets
838 views
De Morgans Law for Disjoint Sets
725 views
Problem-De Morgans Law for Disjoint Sets
528 views
De Morgans Law for Set & its Subset
609 views
Problem-De Morgans Law for Set & its Subset
574 views
2.6: Inductive and Deductive Logic (
Practice Test
)
Concept of Induction and Deduction
3007 views
Problem-Concept of Induction and Deduction
734 views
Aristotelian and Non Aristotelian Logics
1219 views
Problem-Aristotelian and Non Aristotelian Logics
809 views
Symbolic Logics
753 views
Problem-Symbolic Logics
461 views
2.7: Implication or Conditional (
Practice Test
)
Introduction to Implication or Conditional
942 views
Problem-Introduction to Implication or Conditional
458 views
Concept of Bi-Conditional
498 views
Problem-Concept of Bi-Conditional
289 views
Conditionals Related with a Given Conditional
343 views
Problem-Conditionals Related with a Given Conditional
242 views
Introducing Tautologies
447 views
Problem-Introducing Tautologies
253 views
Introducing Quantifiers
312 views
2.8: Truth Sets, A Link Between Sets Theory and Logic (
Practice Test
)
A link Between Set Theory and Logic
714 views
More on A link Between Set Theory and Logic
290 views
Further on A link Between Set Theory and Logic
244 views
Problem-A link Between Set Theory and Logic
221 views
2.9: Relations (
Practice Test
)
Introduction to Binary Relation
15947 views
Problem-Introduction to Binary Relation
2866 views
Problem2-Introduction to Binary Relation
7466 views
Domain & Range of Binary Relation
16264 views
Problem1-Domain & Range of Binary Relation
4921 views
Problem2-Domain & Range of Binary Relation
964 views
2.10: Functions (
Practice Test
)
Introduction to Function
33866 views
More on Introduction to Functions
11149 views
Problem1-Introduction to Function
6005 views
Problem2-Introduction to Function
677 views
Problem3-Introduction to Function
6740 views
Problem4-Introduction to Function
4776 views
Implied Domain
377 views
Finding Domain and Range of Functions
4881 views
Types of Relations
700 views
Operations on Functions
656 views
Into Function
9505 views
Problem1-Into Function
2746 views
Problem2-Into Function
432 views
Onto Function
7782 views
Problem1-Onto Function
2303 views
Problem2-Onto Function
433 views
One to One Correspondence
5463 views
Problem1-One to One Function
2057 views
Problem2-One to One Correspondence
524 views
Bijective Function
4605 views
Problem1-Bijective Function
1587 views
Problem2-Bijective Function
365 views
Injective Function
2842 views
Problem1-Injective Function
1111 views
Problem2-Injective Function
246 views
One-One Function
4739 views
Problem-One-One Function
301 views
Set Builder Notation for a Function
495 views
Problem-Set Builder Notation for a Function
309 views
Formulization of Functions
930 views
Algebraic Functions
9511 views
Linear and Quadratic Functions
539 views
Problem-Linear and Quadratic Functions
298 views
Sketching Graphs of Quadratic Functions
737 views
Problem-Sketching Graphs of Quadratic Functions
214 views
2.11: Inverse of a Function (
Practice Test
)
Inverse of a Function
4588 views
More on Inverse of a Function
1843 views
Problem1-Inverse of a Function
465 views
Problem2-Inverse of a Function
1803 views
Domain & Range of Inverse Function
520 views
Square Root and Absolute Value Functions
486 views
Problem-Square Root and Absolute Value Functions
271 views
Common Types of Functions
1006 views
Problem-Constant, Identity and Rational Functions
203 views
Even and Odd Functions
2827 views
Problem-Even and Odd Functions
1438 views
The Modulus of a Function
3806 views
2.12: Binary Operations (
Practice Test
)
Introduction to Binary Operations
2444 views
Problem-Introduction to Binary Operations
1545 views
Multiplication Table
1220 views
Problem-Multiplication Table
1048 views
Operations on Residue Classes Modulo n
1968 views
Problem-Operations on Residue Classes Modulo n
1354 views
Properties of Binary Operations
1592 views
Problem-Properties of Binary Operations
781 views
Theorems on Binary Operation
1526 views
More on Theorems on Binary Operation
321 views
Problem-Theorems on Binary Operation
310 views
2.13: Groups (
Practice Test
)
Introduction to Semi-Group
3254 views
Problem-Introduction to Semi-Group
1057 views
Introduction to Groups
1546 views
Problem-Introduction to Groups
862 views
Introduction to Abelian and Non-Abelian Group
3091 views
Problem-Introduction to Abelian and Non-Abelian Group
1608 views
Finite and Infinite group
1597 views
Problem1-Finite and Infinite Group
592 views
Problem2-Finite and Infinite Group
328 views
2.14: Solution of Linear Equations
Solving Simple Linear Equations in 1 Variable
7064 views
Problem1-Solution of Linear Equations
4647 views
Problem2-Solution of Linear Equations
184 views
2.15: Reversal Law of Inverse (
Practice Test
)
Introduction to Reversal Laws of Inverses
1630 views
Problem-Introduction to Reversal Laws of Inverses
504 views
Theorems on Groups
519 views
More on Theorems on Groups
363 views
Problem-Theorems on Groups
303 views
Problem-Theorems on Abelian Groups
358 views
Composition of a Functions
4293 views
Problem-Composition of Functions
1735 views
Logical Proofs of the Operations on Sets
167 views
More on Logical Proofs of the Operations on Sets
125 views
The Set of Rational Numbers is an Abelian Group
2203 views
The Set of Non-Zero Real Numbers is an Abelian Group
1408 views
The Set of Complex Numbers is an Abelian Group
2235 views
Algebraic Method to find the Inverse Function
1522 views
Problem-Algebraic Method to find the Inverse Function
1299 views
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