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MATH 453 M16 - Elementary Theory of Numbers

Campus: Urbana-Champaign

Description:

Basic introduction to the theory of numbers. Core topics include divisibility, primes and factorization, congruences, arithmetic functions, quadratic residues and quadratic reciprocity, primitive roots and orders. Additional topics covered at the discretion of the instructor include sums of squares, Diophantine equations, continued fractions, Farey fractions, recurrences, and applications to primality testing and cryptopgraphy. Course Information: 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241 or equivalent.

Special Instructions:

This section is only available in a 16-week self-paced online format as part of the academic year term (not summer term). Registration for the self-paced class is done through https://netmath.illinois.edu/register/college (not self-service). This course features video lectures and online lecture notes through Moodle. No additional textbook has to be purchased. Please contact netmath@illinois.edu with any questions.

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 3

Term(s): Continuous/Open , Summer


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