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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**Please select the desired subject to download / watch the video from the links given below**:

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

**2.1: Introduction**

**Set Definition****Set Notation & its Characteristics****Presentation of a Set****Empty Set & Singleton Set****Finite & Infinite Set****Subset Definition****Proper Subset & Improper Subset****Properties of Subset****Power Set****Equal & Equivalent Sets****Universal Set****Definition of One to One Correspondence****Definition & Notation of Some Important Sets****Set Builder Notation****Order of a Set**

**2.2: Operations on Sets**

**Disjoint Set****Overlapping Sets****Union of Two Sets****Intersection of Set****Difference of Sets****Symmetric Difference of two sets****Complement of a Set**

**2.3: Venn Diagrams**

**Introduction to Venn Diagrams****Difference of Sets for Overlapping Sets****Difference of Sets for Disjoint Sets****Difference of Sets for a Set & its Subset****Complement of Union for Overlapping Sets****Complement of Intersection for Overlapping Sets****Complement of Intersection for Disjoint Sets****Complement of Union for Disjoint Sets****Complement of Union for Set & its Subset****Complement of Intersection for Set & its Subset****Demorgans Law for Overlapping Sets****Demorgans Law for Disjoint Sets****Demorgans Law for Set & its Subset**

**2.4: Operations on Three Sets**

**Associative Property of Union of Sets****Associative Property of Intersection of Sets****Distributive Property of Union Over Intersection****Operations of Union and Intesection on three sets****Commutative Property of Union****Commutativity of Intersection****Distributive property of Intersection over Union**

**2.5: Properties of Union and Intrersection**

**Associative Property of Union of Sets****Associative Property of Intersection of Sets****Distributive Property of Union Over Intersection****Demorgan Law 1****Demorgan Law 2****Introduction to Venn Diagrams****Commutative Law of Union of Sets****Commutative Law of Intersection of Sets****Intersection Associativity for Overlapping Sets****Intersection Associativity for Disjoint Sets****Intersection Associativity for Sets****More on Intersection Associativity for Sets****Union Associativity for Overlapping Sets****Union Associativity for Disjoint Sets****Union Associativity for Sets****More on Union Associativity for Set****Distributivity of Union Over Intersection of Sets****Distributivity of Intersection Over Union of Sets****Difference of Sets for Overlapping Sets****Difference of Sets for Disjoint Sets****Difference of Sets for a Set & its Subset****Complement of Union for Overlapping Sets****Complement of Intersection for Overlapping Sets****Complement of Intersection for Disjoint Sets****Complement of Union for Disjoint Sets****Complement of Union for Set & its Subset****Demorgans Law for Disjoint Sets****Demaorgans of Intersection for Set & its Subset****Demorgans Law for Overlapping Sets****Law for Set & its Subset**

**2.6: Inductive and Deductive Logic**

**2.7: Implication or Conditional**

**Introduction to Implication or Conditional****Concept of Bi-Conditional****Conditionals Related with a Given Conditional****Introducing Tautologies****Introducing Quantifiers**

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

**A link Between Set Theory and Logic****More on A link Between Set Theory and Logic****Further on A link Between Set Theory and Logic**

**2.9: Relations**

**2.10: Functions**

**Introduction to Function****Into Function****Onto Function****One to One Function****Bijective Function****Injective Function****One-One Function****Set Builder Notation for a Function****Linear and Quadratic Functions****Sketching Graphs of Quadratic Functions**

**2.11: Inverse of a Function**

**2.12: Binary Operations**

**Introduction to Binary Operations****Operations on Residue Classes Modulo n****Properties of Binary Operations****Theorems on Binary Operation****More on Theorems on Binary Operation**

**2.13: Groups**

**Introduction to Semi-Group****Introduction to Groups****Introduction to Abelian and Non-Abelian Group****Finite and Infinite Group**

**2.14: Solution of Linear Equations**

**2.15: Reversal Law of Inverse**