Discrete Math-Set Theory,Relations & Functions for Beginners

Learn the basic building blocks of Discrete Mathematics, the backbone of Computer Science & Modern Mathematics

Discrete math is very much "the real world" mathematics. Discrete math is essential to college-level mathematics and beyond. It is increasingly being applied in the practical fields of mathematics and computer science and is a very good tool for improving reasoning and problem-solving capabilities.

The mathematics of modern computer science is built almost entirely on discrete math. This means that in order to learn the fundamental algorithms used by computer programmers, students will need a solid background in these topics. At most of the universities, a undergraduate-level course in discrete mathematics is a required part of pursuing a computer science degree.

Sets,Relations and Functions form the foundation of Discrete Mathematics and are highly significant. They are a must for any Mathematics or Computer Science student, they are very widely used in computer programming languages as well. in summary, Sets,Relations and Functions is a perfect start towards learning the vast subject of Discrete Mathematics and will be used in all the sub-areas of of Discrete Mathematics.

In this course you will learn everything in Sets,Relations and Functions including:

Sets - Introduction

Definition and Understanding
Representation of a Set
Cardinality of a Set


Types of sets

Finite and Infinite sets
Empty (Null) Set
Singleton (Unit) Set
Equal and Equivalent sets
Disjoint and Overlapping sets
Subset, Proper Subset and Superset
Power Set
Universal Set


Set Operations

Union
Intersection
Set Difference
Complement of a Set
Cartesian Product/Cross Product
Venn Diagrams

Introduction to Venn diagrams
Venn diagram for Subsets,Union,Intersection,Difference and Complement
Practicing Venn diagrams


Relation - Definition

Definition
Domain and Range
Diagrammatic representation of Relations



Types of relations

Empty Relation
Universal Relation
Identity Relation
Inverse Relation
Reflexive Relation
Symmetric Relation
Transitive Relation
Equivalence Relation


Functions - Introduction

Defining Function
Domain, Codomain & Range


Types of Functions

Injective (One-to-One Function)
Surjective (Onto Function)
Bijective Function
Even and Odd Functions


Function Operations

Composition of Functions
Inverse of a Function


Everything is covered step-by-step in live to make one comfortable while learning and also understand the concept in the best way. We are sure this course will be very much rewarding in terms of your career and academic growth and is definitely the amount spent.