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Instructor
Prof. Abhinav Kumar
Departments
Mathematics
As Taught In
Spring 2012
Level
Undergraduate
Topics
Mathematics
Algebra and Number Theory
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18.781 | Spring 2012 | Undergraduate
Theory of Numbers
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Syllabus
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Lecture Notes
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Assignments
Theory of Numbers, assignment 1
Theory of Numbers, solution 1
Problem Set 2
Theory of Numbers, solution 2
Theory of Numbers, assignment 3
Theory of Numbers, solution 3
Theory of Numbers, assignment 4-1
Theory of Numbers, assignment 4-2
Theory of Numbers, solution 4-1
Theory of Numbers, solution 4-2
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Exams
Theory of Numbers, Exam Final Guidelines
Theory of Numbers, Exam Final Practice
Theory of Numbers, Exam Final Practice Solutions
Theory of Numbers, Exam 1 Guidelines
Theory of Numbers, Exam 1 Practice
Theory of Numbers, Exam 1 Practice Solutions
Theory of Numbers, Exam 2 Guidelines
Theory of Numbers, Exam 2 Practice
Theory of Numbers, Exam 2 Practice Solutions
Lecture Notes
Cyclotomic Polynomials, Primes Congruent to 1 mod n, Lecture 12 Notes
Introduction, Lecture 1 Notes
Euclidean Algorithm, Primes, Lecture 2 Notes
Binomial Coefficients, Congruences, Lecture 3 Notes
Fermat, Euler, Wilson, Linear Congruences, Lecture 4 Notes
Linear Congruences, Chinese Remainder Theorem, Algorithms, Lecture 5 Notes
Primality, Factoring, RSA, Hensel's Lemma, Lecture 6 Notes
Congruences mod Primes, Order, Primitive Roots, Lecture 7 Notes
Primitive Roots (Prime Powers), Index Calculus, Lecture 8 Notes
Quadratic Residues, Quadratic Reciprocity, Lecture 9 Notes
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Course Info
Instructor
Prof. Abhinav Kumar
Departments
Mathematics
As Taught In
Spring 2012
Level
Undergraduate
Topics
Mathematics
Algebra and Number Theory
Learning Resource Types
assignment_turned_in
Problem Sets with Solutions
grading
Exams with Solutions
notes
Lecture Notes
Download Course