MATH 453

Fall 2025 Part of Term 1

Part of Term 1
Aug 25-Dec 10

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.

4 hours of credit requires approval of the instructor and department with completion of additional work of substance. 3 undergraduate hours. 3 or 4 graduate hours. Prerequisite: MATH 314 or MATH 347.

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MATH 453 class schedule data for fall 2025
CRN	Type	Section	Time	Day	Location	Instructor	Section Details
32140	Lecture-Discussion	M13	3:30PM -4:50PM	TR	209 David Kinley Hall	Zaharescu, A	Part of Term: 1 Date Range: 08/25/25-12/10/25 Credit: 3 hours Restriction(s): Not intended for First Time Freshman students.
32144	Lecture-Discussion	M14	3:30PM -4:50PM	TR	209 David Kinley Hall	Zaharescu, A	Part of Term: 1 Date Range: 08/25/25-12/10/25 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. This must be done between the first day of the semester and the 8th week of the semester. See https://math.illinois.edu/academics/register-math-courses#3to4credits for more information. Restriction(s): Restricted to Graduate - Urbana-Champaign.
32147	Lecture-Discussion	X13	10:00AM -10:50AM	MWF	209 David Kinley Hall	Liu, Y	Part of Term: 1 Date Range: 08/25/25-12/10/25 Credit: 3 hours Restriction(s): Not intended for First Time Freshman students.
32150	Lecture-Discussion	X14	10:00AM -10:50AM	MWF	209 David Kinley Hall	Liu, Y	Part of Term: 1 Date Range: 08/25/25-12/10/25 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. This must be done between the first day of the semester and the 8th week of the semester. See https://math.illinois.edu/academics/register-math-courses#3to4credits for more information. Restriction(s): Restricted to Graduate - Urbana-Champaign.