Mathematics (MATH) |
202 Fenton, 541-346-4705
College of Arts & Sciences
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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
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Instructor: |
Akhtari S |
Office:
320 Fenton Hall
Phone:
(541) 346-8407
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Prereqs/Comments: |
Prereq: MATH 347. |
Course Materials |
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CRN |
Avail |
Max |
Time |
Day |
Location |
Instructor |
Notes |
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33488 |
13 |
25 |
1015-1145 |
tr |
00 REMOTE |
Akhtari S |
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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 |
| 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. |
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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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