MATH
319 01 Theory of Numbers (53254)
INSTRUCTOR: G.
Towsley, 324C South Hall, x5388, towsleyg@geneseo.edu
TIME AND PLACE:
TEXT: Elementary
Number Theory and its Applications, 4th ed., K. Rosen, Addison-
Wesley Longman (2000)
ISBN 0-201-87073-8
EVALUATION PROCEDURES:
The grade for this course will be based on an in-class test, a project, and homework assignments. The portions of the evaluation are weighted as follows:
Homework ..35%
Mid-term Exam. .30%
Final Exam. 35%
The mid-term exam will be given on or near Friday, March
11. The final exam is scheduled for
Friday, May 6 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 some or all of chapters 1 and 3-11 of the text. In detail:
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: