Basic Concepts of Numbers Theory - Edukite

1. 7/23/2019 Basic Concepts of Numbers Theory - Edukite HOME / COURSE / MATHEMATICS / BASIC CONCEPTS OF NUMBERS THEORY Basic Concepts of Numbers Theory   ( 6 REVIEWS ) 1127 STUDENTS If you want to know the pure mathematics devoted to the study of the integers because of the foundational place … TAKE THIS COURSE FREE  1 YEAR https://edukite.org/course/basic-concepts-of-numbers-theory/ 1/10

2. 7/23/2019 Basic Concepts of Numbers Theory - Edukite  LEVEL 2 - CERTIFICATE  COURSE BADGE  COURSE CERTIFICATE 26 NUMBER OF UNITS 0 NUMBER OF QUIZZES  12 HOURS     HOME CURRICULUM REVIEWS If you want to know the pure mathematics devoted to the study of the integers because of the foundational place in the discipline, you have to understand Number Theory. By studying this Basic Concepts of Numbers Theory as well as properties of objects made out of integers or de?ned as generalizations of the integers, you will acquire a vast knowledge on primes, congruences, quadratic reciprocity continued fractions, Diophantine equations, irrational numbers, and partitions. Assessment This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work. Certification Edukite courses are free to study. To successfully complete a course you must submit all the assignment of the course as part of the assessment. Upon successful completion of a course, you can choose to make your achievement formal by obtaining your Certi?cate at a cost of £49. Having an Of?cial Edukite Certi?cation is a great way to celebrate and share your success. You can: Add the certi?cate to your CV or resume and brighten up your career Show it to prove your success     Course Credit: MIT COURSE CURRICULUM https://edukite.org/course/basic-concepts-of-numbers-theory/ 2/10

3. 7/23/2019 Basic Concepts of Numbers Theory - Edukite Module: 01   Introduction, Diophantine Equations, Divisibility, GCD 00:30:00   Euclidean Algorithm, Primes 00:30:00   Binomial Coef?cients, Congruences 00:30:00   FFermat, Euler, Wilson, Linear Congruences 00:30:00   Linear Congruences, Chinese Remainder Theorem, Algorithms 00:30:00   Primality, Factoring, RSA, Hensel’s Lemma 00:30:00 Module: 02   Congruences mod Primes, Order, Primitive Roots 00:30:00   Primitive Roots (Prime Powers), Index Calculus 00:30:00   Quadratic Residues, Quadratic Reciprocity 00:30:00   Jacobi Symbol, Computation, Zolotareff’s De?nition 00:15:00 Square Roots, Tonelli’s Algorithm, Number of Consecutive Pairs of Squares mod p   00:30:00   Cyclotomic Polynomials, Primes Congruent to 1 mod n 00:30:00 Module: 03   Arithmetic Functions 00:30:00   Mobius Inversion Formula, Zeta Functions 00:45:00 https://edukite.org/course/basic-concepts-of-numbers-theory/ 3/10

4. 7/23/2019 Basic Concepts of Numbers Theory - Edukite   Linear Recurrences 00:30:00   Generating Functions 00:30:00   More on Generating Functions, Two Squares Theorem 00:30:00   Continued Fractions I 00:30:00 Module: 04   Continued Fractions II – Inequalities 00:30:00   Periodic Continued Fractions, Quadratic Irrationalities 00:30:00   Brahmagupta-Pell Equation 00:30:00   Four Squares Theorem 00:30:00   Pythagorean Triples, Fermat Descent 00:30:00   Rational Points on Conics 00:30:00 Assessment   Submit Your Assignment 00:00:00   Certi?cation 00:00:00 COURSE REVIEWS https://edukite.org/course/basic-concepts-of-numbers-theory/ 4/10

5. 7/23/2019 Basic Concepts of Numbers Theory - Edukite 4.9   6 ratings 0 5 STARS 0 4 STARS 0 3 STARS 0 2 STARS 0 1 STARS NO REVIEWS FOUND FOR THIS COURSE. RELATED COURSES https://edukite.org/course/basic-concepts-of-numbers-theory/ 5/10

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