Number Theory

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  • Study type: Online
  • Starts: Anytime
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Udemy

Course Description

WHAT IS THIS COURSE ABOUT?

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.


YOU WILL ALSO GET:

  1. Lifetime Access

  2. Q&A section with support

  3. Certificate of completion

  4. 30-day money-back guarantee


HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER?

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

Who this course is for:

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

Expected Outcomes

  1. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? '' : 'checked'; var radios = document.querySelectorAll('[name="' + input.dataset.name + '"]'); for (var i = 0; i (function(){window['__CF$cv$params']={r:'678861dd89a1e634',m:'806ef8d56d660bdbd40f46aa45f29c2a26f5dd1d-1627918592-1800-AfmZJ8Vuf9hU3LhfJLLEzUWgGNRukKeLlU6IbDKMtmoFAd/INw2WZ5LVsNm39jCd6mYeE9xzx4D0YgbnC/cDOPL+OPTGJ4mfQxuonsXOg33oXoHT9KgPW4nd4dNxe32lLRhcUF+izVNT5/5m3dgBdZY=',s:[0xc5730570fc,0x391d5108d1],}})();
  2. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? '' : 'checked'; var radios = document.querySelectorAll('[name="' + input.dataset.name + '"]'); for (var i = 0; i (function(){window['__CF$cv$params']={r:'678861dd89a1e634',m:'806ef8d56d660bdbd40f46aa45f29c2a26f5dd1d-1627918592-1800-AfmZJ8Vuf9hU3LhfJLLEzUWgGNRukKeLlU6IbDKMtmoFAd/INw2WZ5LVsNm39jCd6mYeE9xzx4D0YgbnC/cDOPL+OPTGJ4mfQxuonsXOg33oXoHT9KgPW4nd4dNxe32lLRhcUF+izVNT5/5m3dgBdZY=',s:[0xc5730570fc,0x391d5108d1],}})();
  3. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? 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  4. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? '' : 'checked'; var radios = document.querySelectorAll('[name="' + input.dataset.name + '"]'); for (var i = 0; i (function(){window['__CF$cv$params']={r:'678861dd89a1e634',m:'806ef8d56d660bdbd40f46aa45f29c2a26f5dd1d-1627918592-1800-AfmZJ8Vuf9hU3LhfJLLEzUWgGNRukKeLlU6IbDKMtmoFAd/INw2WZ5LVsNm39jCd6mYeE9xzx4D0YgbnC/cDOPL+OPTGJ4mfQxuonsXOg33oXoHT9KgPW4nd4dNxe32lLRhcUF+izVNT5/5m3dgBdZY=',s:[0xc5730570fc,0x391d5108d1],}})();
  5. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? 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  6. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? 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  7. 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. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? 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  8. Master Modular Arithmetics. Learn about Finite, Infinite, and Periodic Continued Fractions. Explore Public Key Cryptography, Diffie-Hellman Protocol, and RSA Encryption. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. Show more Show less Udemy Business Teach on Udemy Get the app About us Contact us Careers Blog Help and Support Affiliate Impressum Kontakt Terms Privacy policy Cookie settings Sitemap © 2021 Udemy, Inc. window.handleCSSToggleButtonClick = function (event) { var target = event.currentTarget; var cssToggleId = target && target.dataset && target.dataset.cssToggleId; var input = cssToggleId && document.getElementById(cssToggleId); if (input) { if (input.dataset.type === 'checkbox') { input.dataset.checked = input.dataset.checked ? '' : 'checked'; } else { input.dataset.checked = input.dataset.allowToggle && input.dataset.checked ? 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  9. Learn about Finite, Infinite, and Periodic Continued Fractions. Explore Public Key Cryptography, Diffie-Hellman Protocol, and RSA Encryption. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to receive a full scholarship to pursue a B.S. degree in the States so to return back to his home country and teach. He is passionate about Math & Science and loves to share his passion with others. To him, Mathematics and Sciences are crucial for everyone to learn no matter how little. He is a BIG believer in visual learning, and his aim is to deliver the concepts in an easy and direct way so as to make the learning process fast for anyone. 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  10. Explore Public Key Cryptography, Diffie-Hellman Protocol, and RSA Encryption. Requirements Know basic arithmetic operations like +, -, x and ÷ (including long division) Know what is a matrix Description WHAT IS THIS COURSE ABOUT? 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. YOU WILL ALSO GET: Lifetime Access Q&A section with support Certificate of completion 30-day money-back guarantee HOW IS IT 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 subjects easy to comprehend. More details on certain lessons are delivered through text files to provide more explanations 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 DO I LEARN BETTER? There are quizzes after each section so you can test your knowledge and see how much of the material has sunk in. I suggest you go through each lesson several times to better understand the content. Who this course is for: Mathematics Computer Science, and IT Students Anyone interested in understanding the fundamentals of Number Theory, aka, Queen of Mathematics. Show more Show less Course content 10 sections • 64 lectures • 8h 33m total length Expand all sections Introduction 1 lecture • 7min Introduction Preview 07:08 Basics 6 lectures • 59min What is Number Theory? Preview 07:36 Number Sets 08:50 Number Patterns 10:00 Even & Odd Numbers 11:05 Number Properties 09:47 Proofs 11:23 Quiz 7 questions Number Bases 5 lectures • 1hr 6min Number Bases 11:33 Binary Base 11:36 Binary Arithmetics 15:18 Quiz 13 questions Hexadecimal Base 13:13 Hexadecimal Arithmetics 14:18 Quiz 13 questions Factorials 7 lectures • 30min Factorial 05:01 Double Factorial 08:47 Superfactorial 02:32 Exponential Factorial 02:42 Factorion 05:22 Stirling's Formula 03:20 Number of Digits 02:37 Quiz 13 questions Divisibility 11 lectures • 1hr 15min Divisibility 07:01 Divisibility Rules 04:21 Euclidean Division Theorem 08:26 GCD & LCM 10:33 Bézout's Identity 07:41 Quiz 16 questions Perfect Numbers 03:41 Practical Numbers 05:08 Amicable Numbers 03:43 Fibonacci Sequence 08:40 Tribonacci Sequence 05:23 Golden Ratio 10:42 Quiz 5 questions Primes 9 lectures • 57min Prime Numbers 08:56 Fundamental Theorem of Arithmetics (FTA) 09:58 Almost Primes 07:15 Prime Powers 01:45 Factorial Prime 02:59 Euclid's Theorems 08:47 the Prime Number Theorem 03:48 Quiz 15 questions Unsolved Problems 06:18 NumberEmpire 07:26 Modular Arithmetics 13 lectures • 1hr 35min Modular Arithmetics 08:49 Congruence 13:07 Congruence Class 11:33 Residue Systems 04:10 Quadratic Residues 04:12 Moduler Operations 06:10 Inverses 06:58 Quiz 16 questions Modular Exponentiation 10:02 Wilson's Theorem 05:08 Chines Remainder Theorem 09:29 Fermat's Little Theorem 04:39 Euler's Totient Function 06:46 Euler-Fermat Theorem 03:47 Chapter Quiz 7 questions Continued Fractions 6 lectures • 1hr 12min Continued Fractions 08:19 Negative Continued Fractions 10:51 Finite Continued Fractions 14:05 Infinite Continued Fractions 16:48 Periodic Continued Fractions 09:32 Convergent 11:57 Quiz 8 questions Cryptography 5 lectures • 48min Cryptography 08:45 Early Ciphers 11:18 Public Key Cryptography 12:32 RSA Encryption 10:52 Diffie-Hellman Protocol 04:28 Quiz 6 questions Extra 1 lecture • 4min Bonus Lecture 04:07 Instructor Miran Fattah B.S. in Mathematics & Geophysics 4.5 Instructor Rating 3,065 Reviews 21,512 Students 10 Courses Fattah has B.S. in Mathematics and Geophysics from the University of Oklahoma in Oklahoma, USA. He has taught and tutored tens of thousands of college students all over the world. His love for teaching made him one of four students in Iraq to r