Udemy – Abstract Algebra: Group Theory with the Math Sorcerer 2023-5

This is a college level course in Abstract Algebra with a focus on GROUP THEORY. Abstract Algebra is typically considered the one of HARDEST courses a mathematics major will take. This course is a step above a general mathematics course. Students should have familiarity with writing proofs and mathematical notation. If you finish even 50% of this course you will know A LOT of Abstract Algebra and more importantly your level of mathematical maturity will go up tremendously! Abstract Algebra and the Theory of Groups is an absolutely beautiful subject. I hope you enjoy watching these videos and working through these problems as much as I have

Note this course has lots of very short videos with assignments. If you are trying to learn math then this format can be good because you don’t have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day. Good luck and I hope you learn a lot of math.

What you’ll learn

• The Definition of a Binary Operation
• How to Determine if an operation is a binary operation
• How to determine if a binary operation is commutative or associative
• The Definition of a Group
• Examples of Important Groups such as The Integers, Rationals, Reals, Complex Numbers under various operations
• The General Linear Group
• The Special Linear Group
• The Klein Four-Group
• The Additive Group of Integers Modulo n
• Groups Defined on Powersets
• Groups Defined with componentwise multiplication
• How to Prove the Identity Element in a Group is Unique
• How to Prove that Inverses in a Group are Unique
• How to Prove various other Fundamental Properties of Groups
• How to Find the Order of an Element in a Group
• Knowledge of Cyclic Groups
• How to Find Generators for Cyclic Groups
• How to prove groups are cyclic and not cyclic
• How to Prove Various key results surrounding Cyclic Groups
• Knowledge of Subgroups
• Examples of Various Subgroups
• How to Prove a Set is a Subgroup
• How to Prove Various Key Results Surrounding Subgroups
• The Center of a Group

Who this course is for

Specificatoin of Abstract Algebra: Group Theory with the Math Sorcerer

• Publisher : Udemy
• Teacher : The Math Sorcerer
• Language : English
• Level : Advance
• Number of Course : 102
• Duration : 10 hours and 1 minutes

Content of Abstract Algebra: Group Theory with the Math Sorcerer

Requirements

• Be able to understand higher level mathematics OR
• Have a STRONG desire to learn more advanced math, don’t give up, this stuff is really abstract!!

Pictures

Sample Clip

Installation Guide

Extract the files and watch with your favorite player

Subtitle : English

Quality: 720p

The 2023/5 version has increased by 4 lessons and 31 minutes in duration compared to 2020/1.

Download Links

Download Part 1 – 1 GB

Download Part 2 – 1 GB

Download Part 3 – 33 MB

File size

2 GB