## Fundamentals of Mathematics

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SETS: Introduction, Names, Types and Forms of sets. Solve numerical problems

SET OPERATIONS: Introduction, types, properties, laws of set operation.

DE MORGRAN’S LAWS: De Morgan’s First Law and De Morgan’s Second Law with relevant examples

VENN DIAGRAMS: Venn diagrams for subsets, disjoint, overlapping, complement and difference of sets. Then some solved numericals

BINARY OPERATIONS: Introduction, Properties, Addition Laws, Multiplication Laws with applications and some solved problems

NUMBER SYSTEM: Real numbers, Complex numbers, Derivations, Verification, conjugate, modulus, Properties of equality & Inequality, Addition Laws, Multiplication Laws and some solved

problems

COORDINATE SYSTEM: Cartesian coordinate system; x-y plane, complex plane, Polar coordinate system; real plane, complex plane. Some solved numerical problems

GROUPS: Categories; Groupoid, Monoid, Semi-Group, Group, Abelian Group. Some solved problems

Requirements

Be able to know the very basic algebra operations

Description

Learn the Fundamental of Mathematics through animation. This course includes videos explanation starting right from introduction and basics, then takes graphical and numerical phase with formulas, verification and proofs. At the end it carries plenty of solved numerical problems with the relevant examples. The lectures’ videos are appealing, attractive, fancy (with some nice graphic designing), fast and take less time to walk you through the whole lecture. It’s a prefect choice for students who feel boredom watching long lectures and wants things to finish them quickly with the maximum knowledge gain. So join me here and do it in a quick and easy way. This course covers the below list of topics:

Sets

Introduction

Names

Types

Forms

Numerical problems

Set Operations

Introduction

Types

Properties

Laws of set operation

De Morgan’s Laws

De Morgan’s First Law

De Morgan’s Second Law

Relevant examples

Venn Diagrams

Venn diagrams for subset of sets

Venn diagrams for disjoint of sets

Venn diagrams for overlapping of sets

Venn diagrams for complement of sets

Venn diagrams for difference of sets.

Some solved problems

Binary Operations

Introduction

Properties

Addition Laws with applications

Multiplication Laws with applications

Some solved problems

Numerical System

Real numbers

Complex numbers

Derivations & Verification

Conjugate of complex numbers

modulus of complex numbers

Properties of equality & Inequality

Addition Laws

Multiplication Laws

Solved Problems

Coordinate System

Cartesian coordinate system

X-Y plane

Cartesian coordinate system

X-Y plane

Complex plane

Polar coordinate system

Real plane & complex plane

Solved numerical problems

Groups

Categories

Groupoid

Monoid

Semi-Group

Group

Abelian Group

Some solved problems

Who this course is for:

Beginners at school and college level

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