MP4

Video: AVC 1280x720

Audio: AAC 44KHz 2ch

Duration: 4.5 Hours

Lec: 48

Genre: eLearning

Language: English

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.

**Download File Size**:478.27 MB