MATH 453

Spring 2023 Part of Term 1

Part of Term 1
Jan 17-May 3

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.

MATH 453 class schedule data for spring 2023
CRN Type Section Time Day Location Instructor Section Details
38037
Lecture-Discussion
B13
9:00AM -9:50AM
MWF
Altgeld Hall
Nath, K
Part of Term:
1
Date Range:
01/17/23-05/03/23
Credit:
3 hours
Section Info:
Open to both undergraduate and graduate students.
38040
Lecture-Discussion
B14
9:00AM -9:50AM
MWF
Altgeld Hall
Nath, K
Part of Term:
1
Date Range:
01/17/23-05/03/23
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):
Not intended for Undergrad - Urbana-Champaign.
38042
Lecture-Discussion
Q13
11:00AM -12:20PM
TR
Henry Administration Bldg
Thorner, J
Part of Term:
1
Date Range:
01/17/23-05/03/23
Credit:
3 hours
Section Info:
Open to both undergraduate and graduate students.
38044
Lecture-Discussion
Q14
11:00AM -12:20PM
TR
Henry Administration Bldg
Thorner, J
Part of Term:
1
Date Range:
01/17/23-05/03/23
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):
Not intended for Undergrad - Urbana-Champaign.
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