MATH 453

Fall 2022 Part of Term 1

Part of Term 1
Aug 22-Dec 7

Number Theory

SHOW FINAL EXAM SCHEDULE

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.

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.

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MATH 453 class schedule data for fall 2022
CRN	Type	Section	Time	Day	Location	Instructor	Section Details
32140	Lecture-Discussion	D13	2:00PM -2:50PM	MWF	Altgeld Hall	Reznick, B	Part of Term: 1 Date Range: 08/22/22-12/07/22 Credit: 3 hours
32144	Lecture-Discussion	D14	2:00PM -2:50PM	MWF	Altgeld Hall	Reznick, B	Part of Term: 1 Date Range: 08/22/22-12/07/22 Special Approval: Instructor Approval Required Credit: 4 hours Section Info: Graduate students requesting the 4 credit hour section must first register for the 3 hour section. If the instructor is willing to offer extra work to graduate students for the 4-hour section, students can fill out the request form between the first day of the semester and the 8th week of the semester at this link: https://go.math.illinois.edu/3to4credit Restriction(s): Restricted to Graduate - Urbana-Champaign.
32147	Lecture-Discussion	M13	10:00AM -10:50AM	MWF	Altgeld Hall	Thorner, J	Part of Term: 1 Date Range: 08/22/22-12/07/22 Credit: 3 hours
32150	Lecture-Discussion	M14	10:00AM -10:50AM	MWF	Altgeld Hall	Thorner, J	Part of Term: 1 Date Range: 08/22/22-12/07/22 Special Approval: Instructor Approval Required Credit: 4 hours Section Info: Graduate students requesting the 4 credit hour section must first register for the 3 hour section. If the instructor is willing to offer extra work to graduate students for the 4-hour section, students can fill out the request form between the first day of the semester and the 8th week of the semester at this link: https://go.math.illinois.edu/3to4credit Restriction(s): Restricted to Graduate - Urbana-Champaign.