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Ch#2–Download Free Notes Class 11th/FSC-I/ICS Mathematics (FBISE Islamabad) and Other Boards in shape of Video Lectures in Urdu Language

Dear Students,

Today, almost 90% of our students have joined different Academies for learning purpose. Some of them hired tutors and are charging high fee. We realize the factor and are very well aware that it is very much difficult for the parents to afford the high fee of different Academies / Tutors. We also concluded that the Academies are not providing good teaching services to the students but charging high fee from students. After realizing the factors we have uploaded the videos prepared by SABAQ foundation on our website which will really beneficial for the students as well as the people who are serving as teachers of different subjects in different institutions.

From this section you can download / view Video Lectures on Mathematics Class 11th / F.Sc / ICS Part-I for free. These Videos for F.Sc students have been prepared by SABAK Foundation for the ease of students as per new and updated syllabus/course prescribed by Federal Board of Intermediate & Secondary Education (FBISE), Islamabad – Pakistan and other BISE(s)/Boards of Pakistan. We are fully hopeful that after after watching/viewing these Video Lectures you will score 90% plus marks in your exams as they have been prepared in a very simple, easy, brief and in simple and lucid language to understand. The purpose of sharing these videos is to promote education in Pakistan and to help those students who really want to learn something. These videos are enough for learning purpose, and after watching these video lectures you will come to know that you are no more in need of any kind of tuition or Academy.

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Chapter 2: Sets, Functions and Groups (109 videos)

2.1: Introduction

  1. Set Definition
  2. Set Notation & its Characteristics
  3. Presentation of a Set
  4. Empty Set & Singleton Set
  5. Finite & Infinite Set
  6. Subset Definition
  7. Proper Subset & Improper Subset
  8. Properties of Subset
  9. Power Set
  10. Equal & Equivalent Sets
  11. Universal Set
  12. Definition of One to One Correspondence
  13. Definition & Notation of Some Important Sets
  14. Set Builder Notation
  15. Order of a Set

2.2: Operations on Sets

  1. Disjoint Set
  2. Overlapping Sets
  3. Union of Two Sets
  4. Intersection of Set
  5. Difference of Sets
  6. Symmetric Difference of two sets
  7. Complement of a Set

2.3: Venn Diagrams

  1. Introduction to Venn Diagrams
  2. Difference of Sets for Overlapping Sets
  3. Difference of Sets for Disjoint Sets
  4. Difference of Sets for a Set & its Subset
  5. Complement of Union for Overlapping Sets
  6. Complement of Intersection for Overlapping Sets
  7. Complement of Intersection for Disjoint Sets
  8. Complement of Union for Disjoint Sets
  9. Complement of Union for Set & its Subset
  10. Complement of Intersection for Set & its Subset
  11. Demorgans Law for Overlapping Sets
  12. Demorgans Law for Disjoint Sets
  13. Demorgans Law for Set & its Subset

2.4: Operations on Three Sets

  1. Associative Property of Union of Sets
  2. Associative Property of Intersection of Sets
  3. Distributive Property of Union Over Intersection
  4. Operations of Union and Intesection on three sets
  5. Commutative Property of Union
  6. Commutativity of Intersection
  7. Distributive property of Intersection over Union

2.5: Properties of Union and Intrersection

  1. Associative Property of Union of Sets
  2. Associative Property of Intersection of Sets
  3. Distributive Property of Union Over Intersection
  4. Demorgan Law 1
  5. Demorgan Law 2
  6. Introduction to Venn Diagrams
  7. Commutative Law of Union of Sets
  8. Commutative Law of Intersection of Sets
  9. Intersection Associativity for Overlapping Sets
  10. Intersection Associativity for Disjoint Sets
  11. Intersection Associativity for Sets
  12. More on Intersection Associativity for Sets
  13. Union Associativity for Overlapping Sets
  14. Union Associativity for Disjoint Sets
  15. Union Associativity for Sets
  16. More on Union Associativity for Set
  17. Distributivity of Union Over Intersection of Sets
  18. Distributivity of Intersection Over Union of Sets
  19. Difference of Sets for Overlapping Sets
  20. Difference of Sets for Disjoint Sets
  21. Difference of Sets for a Set & its Subset
  22. Complement of Union for Overlapping Sets
  23. Complement of Intersection for Overlapping Sets
  24. Complement of Intersection for Disjoint Sets
  25. Complement of Union for Disjoint Sets
  26. Complement of Union for Set & its Subset
  27. Demorgans Law for Disjoint Sets
  28. Demaorgans of Intersection for Set & its Subset
  29. Demorgans Law for Overlapping Sets
  30. Law for Set & its Subset

2.6: Inductive and Deductive Logic

  1. Concept of Induction and Deduction
  2. Aristotelian and Non Aristotelian Logics
  3. Symbolic Logics

2.7: Implication or Conditional

  1. Introduction to Implication or Conditional
  2. Concept of Bi-Conditional
  3. Conditionals Related with a Given Conditional
  4. Introducing Tautologies
  5. Introducing Quantifiers

2.8: ruth Sets, A Link Between Sets Theory and Logic

  1. A link Between Set Theory and Logic
  2. More on A link Between Set Theory and Logic
  3. Further on A link Between Set Theory and Logic

2.9: Relations

  1. Introduction to Binary Relation
  2. Domain & Range of Binary Relation

2.10: Functions

  1. Introduction to Function
  2. Into Function
  3. Onto Function
  4. One to One Function
  5. Bijective Function
  6. Injective Function
  7. One-One Function
  8. Set Builder Notation for a Function
  9. Linear and Quadratic Functions
  10. Sketching Graphs of Quadratic Functions

2.11: Inverse of a Function

  1. Inverse of a Function

2.12: Binary Operations

  1. Introduction to Binary Operations
  2. Operations on Residue Classes Modulo n
  3. Properties of Binary Operations
  4. Theorems on Binary Operation
  5. More on Theorems on Binary Operation

2.13: Groups

  1. Introduction to Semi-Group
  2. Introduction to Groups
  3. Introduction to Abelian and Non-Abelian Group
  4. Finite and Infinite Group

2.14: Solution of Linear Equations

  1. Solution of Simple Linear Equations in one Variables

2.15: Reversal Law of Inverse

  1. Introduction to Reversal Laws of Inverses
  2. Theorems on Groups
  3. More on Theorems on Groups

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