Number Theory

Undergraduate

This course will cover divisibility, primes, fundamental theorem of arithmetic, greatest common divisor, Euclidean algorithm, least common multiple, linear Diophantine equations, congruency, residue classes, Chinese remainder theorem, number theoretic functions, theorems of Euler, Fermat, Wilson, theory of primes, and quadratic residues. (Prerequisites: one of MATH-1250, MATH-1260 or MATH-1270, and MATH-1020.) (3 lecture hours per week.)