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Spring 2021

 

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Mathematics (MATH)
202 Fenton, 541-346-4705
College of Arts & Sciences
Course Data
  MATH 348   Fund of Number Theo II 4.00 cr.
Study of nonlinear Diophantine equations, sums of squares, the theory of partitions, geometric number theory, and the distribution of prime numbers. Development of mathematical proof in these contexts. Sequence with MATH 347.
Grading Options: Optional; see degree guide or catalog for degree requirements
Instructor: Akhtari SE-mail Office:   320 Fenton Hall
Phone:   (541) 346-8407
See CRN for CommentsPrereqs/Comments: Prereq: MATH 347.
Course Materials
 
  CRN Avail Max Time Day Location Instructor Notes
  33488 13 25 1015-1145 tr 00 REMOTE Akhtari S !
Academic Deadlines
Deadline     Last day to:
March 28:   Process a complete drop (100% refund, no W recorded)
April 3:   Drop this course (100% refund, no W recorded; after this date, W's are recorded)
April 3:   Process a complete drop (90% refund, no W recorded; after this date, W's are recorded)
April 4:   Process a complete withdrawal (90% refund, W recorded)
April 4:   Withdraw from this course (100% refund, W recorded)
April 5:   Add this course
April 5:   Last day to change to or from audit
April 11:   Process a complete withdrawal (75% refund, W recorded)
April 11:   Withdraw from this course (75% refund, W recorded)
April 18:   Process a complete withdrawal (50% refund, W recorded)
April 18:   Withdraw from this course (50% refund, W recorded)
April 25:   Process a complete withdrawal (25% refund, W recorded)
April 25:   Withdraw from this course (25% refund, W recorded)
May 16:   Withdraw from this course (0% refund, W recorded)
May 16:   Change grading option for this course
Caution You can't drop your last class using the "Add/Drop" menu in DuckWeb. Go to the “Completely Withdraw from Term/University” link to begin the complete withdrawal process. If you need assistance with a complete drop or a complete withdrawal, please contact the Office of Academic Advising, 101 Oregon Hall, 541-346-3211 (8 a.m. to 5 p.m., Monday through Friday). If you are attempting to completely withdraw after business hours, and have difficulty, please contact the Office of Academic Advising the next business day.

Expanded Course Description

An exploration of certain classical topics in number theory, building off of the basics established in MATH 347, including:

  • Representing integers as sums of squares, or sums of other powers.
  • Pell's equation, quadratic forms over the integers, other quadratic Diophantine equations.
  • Continued fractions.
  • The theory of the partition function.
  • Geometric number theory (e.g., Gauss's circle problem).
  • The distribution of prime numbers and the Riemann Hypothesis.
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Release: 8.11