IAMINSTITUTE OF APPLIED MATHEMATICS


IAM519

Code IAM519
Name BASIC MATHEMATICS FOR CRYPTOGRAPHY
Credits 4(4-0)
ECTS 10.0
Objective The main objective of this course is to prepare students for later studies in Cryptography Graduate Program of IAM, and also to explain some problems that are easy to ask but still unsolved and to give some ideas about why abstractions are to be made, by giving fundamental properties of integers and some algebraic preliminaries.
Content Groups, Rings, Polynomials, Prime and maximal ideals, Divisibility, Concurrences, Euler, Chinese Remainder and Wilson’s Theorems, PIDs, UFDs, Fields, Arithmetical functions, Quadratic residues and quadratic reciprocity.
Outcomes

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