# Fundamentals of Mathematics

## What you'll learn

- 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

## Course content

- Preview00:51

## Instructor

This is Moein Ud Din, I am Electrical & Electronics Engineer, a programmer and instructor of Matlab, C++, PLC and an animation geek. It's my passion to pass my knowledge what I know to the desired entities. Kinda quintessential person, always hounding to make things ideal. I have plan in future to prepare more mathematics and engineering courses, would love to make things change in my own certain way. Critics are most welcome as long as it helps me and my students. Best wishes