Global Certificate in Math Competition & Number Theory
-- ViewingNowThe Global Certificate in Math Competition & Number Theory is a comprehensive course designed to enhance your mathematical skills and problem-solving abilities. This course is critical for individuals seeking to excel in mathematical competitions, research, or teaching roles.
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โข Number Theory Basics โข Introduction to number systems, properties of integers, divisibility, prime numbers, and greatest common divisors. โข Modular Arithmetic โข Congruences, modular inverse, Euler's totient function, and Euler's theorem. โข Diophantine Equations โข Linear and quadratic Diophantine equations, solving methods, and applications. โข Congruence Classes and Chinese Remainder Theorem โข Congruence classes, systems of congruences, and the Chinese Remainder Theorem. โข Fermat's Little Theorem & Euler's Formula โข Fermat's Little Theorem, Euler's Formula, and their applications in number theory. โข Quadratic Residues & Legendre Symbol โข Quadratic residues, the Legendre symbol, and the Law of Quadratic Reciprocity. โข Continued Fractions & Pell's Equation โข Continued fractions, simple continued fractions, and solutions of Pell's equation. โข Primality Testing & Algorithms โข Primality testing methods, Fermat's primality test, Miller-Rabin primality test, and AKS primality test. โข Cryptography & Number Theory โข Applications of number theory in cryptography, RSA encryption, and Diffie-Hellman key exchange.
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