MATH 453

Spring 2021 Part of Term 1

Part of Term 1
Jan 25-May 5

Elementary Theory of Numbers

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.

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

Quantitative Reasoning II

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MATH 453 class schedule data for spring 2021
CRN	Type	Section	Time	Day	Location	Instructor	Section Details
38037	Online	B13	9:00AM -9:50AM	MWF	n.a.	Ford, K	Part of Term: 1 Date Range: 01/25/21-05/05/21 Degree Notes: Quantitative Reasoning II course. Credit: 3 hours Section Info: Attendance may be required at the scheduled meeting times.
38040	Online	B14	9:00AM -9:50AM	MWF	n.a.	Ford, K	Part of Term: 1 Date Range: 01/25/21-05/05/21 Degree Notes: Quantitative Reasoning II course. 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 follow the instructions to request a switch to the 4-credit section between the FIRST DAY of the semester and the 8th week of the semester. Instructions are available at https://go.math.illinois.edu/3to4credit Restriction(s): Not intended for Undergrad - Urbana-Champaign.
38042	Online	Q13	3:00PM -3:50PM	MWF	n.a.	Tang, S	Part of Term: 1 Date Range: 01/25/21-05/05/21 Degree Notes: Quantitative Reasoning II course. Credit: 3 hours Section Info: Attendance may be required at the scheduled meeting times.
38044	Online	Q14	3:00PM -3:50PM	MWF	n.a.	Tang, S	Part of Term: 1 Date Range: 01/25/21-05/05/21 Degree Notes: Quantitative Reasoning II course. 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 follow the instructions to request a switch to the 4-credit section between the FIRST DAY of the semester and the 8th week of the semester. Instructions are available at https://go.math.illinois.edu/3to4credit Restriction(s): Not intended for Undergrad - Urbana-Champaign.