Fundamentals of Mathematics

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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