MATH 453

Fall 2011 Part of Term 1

Part of Term 1
Aug 22-Dec 7

Elementary Theory of Numbers

Credit: 3 OR 4 hours.

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.

4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241 or equivalent.

This course satisfies the General Education Criteria in Fall 2022 for:

Quantitative Reasoning II

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MATH 453 class schedule data for fall 2011
CRN	Type	Section	Time	Day	Location	Instructor	Section Details
32140	Lecture-Discussion	F13	2:00PM -2:50PM	MWF	Altgeld Hall	Lamzouri, Y	Part of Term: 1 Date Range: 08/22/11-12/07/11 Degree Notes: Quant Reasoning II course. Credit: 3 hours
32144	Lecture-Discussion	F14	2:00PM -2:50PM	MWF	Altgeld Hall	Lamzouri, Y	Part of Term: 1 Date Range: 08/22/11-12/07/11 Degree Notes: Quant Reasoning II course. Special Approval: Instructor Approval Required Credit: 4 hours Restriction(s): Restricted to Graduate - Urbana-Champaign.
32147	Lecture-Discussion	M13	9:30AM -10:50AM	TR	Altgeld Hall	Zaharescu, A	Part of Term: 1 Date Range: 08/22/11-12/07/11 Degree Notes: Quant Reasoning II course. Credit: 3 hours
32150	Lecture-Discussion	M14	9:30AM -10:50AM	TR	Altgeld Hall	Zaharescu, A	Part of Term: 1 Date Range: 08/22/11-12/07/11 Degree Notes: Quant Reasoning II course. Special Approval: Instructor Approval Required Credit: 4 hours Restriction(s): Restricted to Graduate - Urbana-Champaign.