3 RULES OF RELATIONS AND FUNCTIONS FOR CLASS 11

Relations and Functions is the foundation of Calculus since Calculus involves the study of functions.

This topic may seem a bit abstract at first but all you need to learn here involves

1. Introduction to Set Theory and Cartesian Product of Sets.

2. The concept of RELATION as a subset of Cartesian Product

3. Functions as a particular case of a Relation and domain and range of a function.

Types of functions is also introduced at a later stage and used in Class 12.

This page has a few free resources in the form of you tube videos pertaining to specific topics. 

Feel free to use them.

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SET THEORY-AN INTRODUCTION

This video gives you an introduction to Set Theory. The target audience could be Class 11 Math students or anyone interested in Set Theory. It has applications in examinations like SAT and GRE QUANT as well. We start with the basic properties of sets. You will be introduced to the Power set, Union, Intersection, Complement, De Morgan's Laws and more. Problems of the type given below are discussed. In a survey of 600 students, 150 drink tea, 225 drink milk, 100 drink both tea and milk. How many drink neither tea nor milk? In a survey of 60 people, 25 read newspaper H, 30 read newspaper I, 26 read newspaper T, 9 read newspaper H and I, 11 read newspaper H and T, 8 read T and I. 3 read all three. Find the number of people who read at least one paper? who read exactly one paper? Online classes are provided . You can register for specific topics or the entire course. You can contact me on mathmadeeasy22@gmail.com

Click to watch video.

RELATIONS- REFLEXIVE/SYMMETRIC/TRANSITIVE/EQUIVALENCE RELATIONS

  Learn what is a relation from scratch. Understand the types of relations, namely,

reflexive,

symmetric and

transitive.

What are equivalence relations, equivalence classes and learn how to solve problems based on these. 

 Understanding Relations is the first step to understanding functions.

Click to watch video.

UNDERSTANDING THE DOMAIN AND RANGE OF A FUNCTION

TYPES OF FUNCTIONS

I have made this video to give you a clearer understanding of the types of functions . What are one-one and onto functions? Learn about all this by watching this presentation. Here, we discuss what are functions, injective, surjective and bijective functions. We also learn how to calculate the inverse of a function if it exists. Some of the problems include -If S={a,b,c}, T= {1,2,3}, f={(a,3),(b,2),(c,1)} f is a function from S to T. Find inverse of f if it exists. Show that the modulus function is neither one to one or onto. Online tutoring is provided if you need. You can choose between a specific topic or the entire course. For more details, you can contact me on mathmadeeasy22@gmail.com

Click to watch video