MATH
319 01 Theory of Numbers (53254)
INSTRUCTOR: G.
Towsley, 324C South Hall, x5388, towsleyg@geneseo.edu
TIME AND PLACE:
TEXT: A Friendly Introduction to Number Theory, 3rd. Ed., by J. Silverman,
Prentice-Hall, ISBN
0131861379
EVALUATION PROCEDURES:
The grade for this course will be based on an in-class test,a final exam, and a variety of homework assignments. The portions of the evaluation are weighted as follows:
Homework ..55%
Mid-term Exam. .20%
Final Exam. 25%
The mid-term exam will be given on or near Friday, March 9. The final exam is scheduled for Thursday,
May 3 at
A 93-100% A- 90-92% B+ 87-89% B 83-86% B- 80-82%
C+ 77-79% C 73-76% C- 70-72% D 60-69% E 0-59%
CONTENT OUTLINE:
The course covers chapters 1-29 of the text and whatever other chapters we have time for..
1. Divisibility, Primes, and the Euclidean Algorithm
2. Congruence, Solutions of Congruences, The Chinese Remainder Theorem
3. Fermats Little Theorem and Factorization
4. Quadratic Reciprocity
5. Arithmetic Functions
6. Diophantine Equations
7. Factoring, Primality Testing, and Public-key Cryptography
MAKE-UP POLICY:
A make-up exam will be given only if I am supplied with a valid excuse prior to the exam.
OFFICE HOURS: