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MATH 453
Elementary Theory of Numbers

Credit: 3 or 4 hours.
This course satisfies the General Education Criteria for a
Quant Reasoning II course.
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.
 
Section Information
CRNTypeSectionTimeDaysLocationInstructor
38037  lecture- discussion  F13 02:00 PM - 02:50 PM MWF  room 149
Henry Administration Bldg 
Vijay, S 
Quant Reasoning II course.

3 hours
Open to both undergraduate and graduate students.

38040  lecture- discussion  F14 02:00 PM - 02:50 PM MWF  room 149
Henry Administration Bldg 
Vijay, S 
Quant Reasoning II course.

4 hours
Instructor Approval Required
Instructor approval forms available in 313 Altgeld Hall.
Not intended for Undergrad - Urbana-Champaign.

38042  lecture- discussion  X13 12:00 PM - 12:50 PM MWF  room 145
Altgeld Hall 
Schultz, A 
Quant Reasoning II course.

3 hours
Open to both undergraduate and graduate students.

38044  lecture- discussion  X14 12:00 PM - 12:50 PM MWF  room 145
Altgeld Hall 
Schultz, A 
Quant Reasoning II course.

4 hours
Instructor Approval Required
Instructor approval forms available in 313 Altgeld Hall.
Not intended for Undergrad - Urbana-Champaign.