Name: Fundamentals of Mathematics
Rating: 4.4 (28 reviews)

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

27 sections • 151 lectures • 11h 37m total length

Preview00:51

Problem 1: Write all the given sets in set-builder forms
20:04
Problem 2: Write all the given sets in Tabular forms
14:18
Problem 3: Write all the given sets in Descriptive forms
16:35
Problem 4: Identify the Finite and Infinite sets among all the give sets
15:26
Problem 5: Identify the equal and equivalent sets out of the give sets
15:04
Problem 6: Write the Proper and Improper subsets of the given sets
22:00
Problem 7: Identify and write all the subsets for a power set of the given set
18:12
Problem 8: Identify the True and False sets among the give sets
05:48

Union of sets. What is Union of sets and its notation. Explain it with example
03:24
Intersection of sets and its notation. Explain it with example
03:12
Disjoint of sets. Explanation of a disjoint set with the relevant example
02:57
Overlapping of sets. Explanation of an overlapping set with an example
03:42
Difference of sets. What are its notations? Explained with the relevant example
05:37
Complement of sets. What are the notations? Explained with the relevant example
04:00

Property 1: Commutative of Union. Verify it mathematically that LHS = RHS
03:38
Property 2: Commutative of Intersection. Verify it mathematically that LHS = RHS
03:07
Property 3: Associative of Union. Verify it mathematically that LHS = RHS
04:26
Property 4: Associative of Intersection. Verify it mathematically that LHS = RHS
04:31
Property 5: Distributive of Union over Intersection. Verify it mathematically
06:25
Property 6: Distributive of Intersection over Union. Verify it mathematically
04:14

What is Venn Diagram?
01:09
Show the Venn Diagram for Union & Intersection of the subset of the sets[A⊂B]
07:27
Preview02:51
Show the Venn Diagram for Union & Intersection of the Disjoint sets
04:11
Show the Venn Diagram for Union & Intersection of the Overlapping sets
03:58
Draw the Venn Diagrams for the Difference of the sets
04:52
Show the Venn Diagram for the Complement of the sets
03:14

Moein Ud Din

Engineer

4.6 Instructor Rating
97 Reviews
26,651 Students
4 Courses

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

Fundamentals of Mathematics

What you'll learn

Requirements

Description

Who this course is for:

Course content

Introduction1 lecture • 1min

SETS - Names of Sets14 lectures • 31min

SETS - Types of Sets14 lectures • 1hr 13min

SETS - Forms of Sets4 lectures • 11min

SETS - Some Problems' Solutions8 lectures • 2hr 7min

SET OPERATIONS - Types of Set Operations6 lectures • 23min

SET OPERATIONS - Properties of Set Operations6 lectures • 26min

SET OPERATIONS - De Morgan's Laws5 lectures • 30min

SET OPERATIONS - Venn Diagrams7 lectures • 28min

SET OPERATIONS - Venn Diagrams - Problems Solutions1 lecture • 7min

Instructor