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Number Theory

Number Theory


Welcome to a course on Number Theory, better called “Higher Arithmetics” or “Queen of Mathematics”. This course will guide you and enable you to master fundamental topics in Number Theory.

Overview

About this Course
Welcome to a course on Number Theory, better called “Higher Arithmetics” or “Queen of Mathematics”. This course will guide you and enable you to master fundamental topics in Number Theory.

Number theory is the study of patterns, relationships and properties of numbers. Studying numbers is a part theoretical and a part experimental, as mathematicians seek to discover fascinating and unexpected mathematical relationships and properties. In this course, you will explore some of those fascinating mathematical relationships and properties and you will learn essential topics that are in the heart of Mathematics, Computer Science and many other disciplines.

How is the course delivered?

I know visually seeing a problem getting solved is the easiest and the most direct way for a student to learn so I designed the course keeping this in mind. The materials are delivered mostly through videos to make complex subject easy to comprehend. More details on certain lessons are delivered through text files to provide more explanation or examples. The course is taught in plain English, away from cloudy, complicated mathematical jargons and that is to help the student learn the material rather than getting stuck with fancy words.

How can I learn better?

There are quizzes after each section so you can test your knowledge and see how much of the material has sank in. I suggest you go through each lesson several times to better understand the content.

Basic knowledge
Know basic arithmetic operations like +, -, x and ÷ (including long division)
Know what is a matrix

Course Information

Know basic arithmetic operations like +, -, x and ÷ (including long division)
Know what is a matrix

What you will learn
Have a thorough understanding of Number Theory
Know different Numbers, Number Sets, Patterns, and Properties
Know different Number Bases like Binary and Hexadecimal Base and how to do Arithmetics (+, -, x, ÷) in those bases
Master Factorials, Double Factorials, Factorions, and many other related topics
Master Divisibility, Divisibility Rules, Euclidean Division Theorem, and many other topics
Learn Primes, Prime Powers, Factorial Primes, and Euclid's First Theorem
Know what Fundamental Theorem of Arithmetic is
Master Modular Arithmetics
Learn about Finite, Infinite, and Periodic Continued Fractions
Explore Public Key Cryptography, Diffie-Hellman Protocol, and RSA Encryption

Mathematics Computer Science, and IT Students,
Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics.

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Course Specifications

Start your journey in Teaching and Childcare with courses in teacher training. 

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Adult education is the non-credential activity of gaining skills and improved education. 

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Online education is electronically supported learning that relies on the Internet for teacher/student interaction. 

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A short course is a learning programme that gives you combined content or specific skills training in a short period of time. Short courses often lean towards the more practical side of things and have less theory than a university course – this gives you a more hands-on experience within your field of interest.

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Course duration is 24 hours.

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