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Mathematics (MATH)
202 Fenton, 541-346-4705
College of Arts & Sciences
Course Data
  MATH 347   Fund of Number Theo I 4.00 cr.
A study of congruences, the Chinese remainder theorem, the theory of prime numbers and divisors, Diophantine equations, and quadratic reciprocity. Development of mathematical proof in these contexts. Sequence with MATH 348.
Grading Options: Optional; see degree guide or catalog for degree requirements
Instructor: Knapp GE-mail Office:   312 Fenton Hall
Phone:   (541) 346-4737
See CRN for CommentsPrereqs/Comments: Prereq: MATH 253 or equivalent; one from MATH 232, MATH 262, MATH 307.
Course Materials
 
  CRN Avail Max Time Day Location Instructor Notes
  24053 17 36 1000-1050 mwf 101 ALL Knapp G !

Final Exam:

1015-1215 r 3/17 101 ALL
Academic Deadlines
Deadline     Last day to:
January 2:   Process a complete drop (100% refund, no W recorded)
January 8:   Drop this course (100% refund, no W recorded; after this date, W's are recorded)
January 8:   Process a complete drop (90% refund, no W recorded; after this date, W's are recorded)
January 9:   Process a complete withdrawal (90% refund, W recorded)
January 9:   Withdraw from this course (100% refund, W recorded)
January 10:   Add this course
January 10:   Last day to change to or from audit
January 16:   Process a complete withdrawal (75% refund, W recorded)
January 16:   Withdraw from this course (75% refund, W recorded)
January 23:   Process a complete withdrawal (50% refund, W recorded)
January 23:   Withdraw from this course (50% refund, W recorded)
January 30:   Process a complete withdrawal (25% refund, W recorded)
January 30:   Withdraw from this course (25% refund, W recorded)
February 20:   Withdraw from this course (0% refund, W recorded)
March 13:   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
The MATH 347-348 sequence serves as a transition between the computationally-oriented calculus sequences (MATH 251, 252, 253 and MATH 281, 282) and the more theoretically-oriented 400-level courses. It serves as an entry into proof-based mathematics, supplementing the introductory course on proof theory, MATH 307.

Mathematics probably began with people exploring patterns in the whole numbers. Many questions remain unanswered to this day. Most of the important discoveries in number theory have ended up relating to the idea of congruences, which come from taking the number line and wrapping it around a circle, again and again and again. Just as one can do arithmetic (adding, subtracting, multiplying) by moving along the number line, you can also learn to do arithmetic on these circles. This course focuses on the interesting patterns that emerge when we student this kind of circular arithmetic (usually called modular arithmetic), and what they tell us about the integers.

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Release: 8.11