Johns Hopkins University 4 credits Mathematics
The student is provided with many historical examples of topics, each of which serves as an illustration of and provides a background for many years of current research in number theory. Primes and prime factorization, congruences, Euler's function, quadratic reciprocity, primitive roots, solutions to polynomial congruences (Chevalley's theorem), Diophantine equations including the Pythagorean and Pell equations, Gaussian integers, Dirichlet's theorem on primes. Prerequisite(s): AS.110.109 Calculus II OR AS.110.113 Honors Single Variable Calculus, or the equivalent of a full year of single variable calculus.
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