Math 627 (Section 600) -- Spring 2008

Theory of Numbers

MWF 3:00-3:50
BLOC 156

http://www.math.tamu.edu/~map/courses/627-sp08/

Homework

Course Description:

This course will be an introduction to Number Theory from an advanced standpoint. We will study in depth the arithmetic properties of integers, starting with prime factorizations and then investigating implications and generalizations. We will cover the following topics as time permits (essentially Chapters 1-3, 8-10):

primes and unique factorization

congruences, Fermat's Little Theorem, and Euler's Theorem

Diophantine equations, sums of squares, elliptic curves

quadratic residues, quadratic reciprocity, quadradtic forms

arithmetic functions

Riemann zeta function

primes in arithmetic progressions

more advanced topics as time permits

Course Information:

	Instructor:	Dr. Matthew Papanikolas
	Office Hours:	Mon. & Fri. 12:30-1:30

	Office:	321 Milner
	Office Phone:	845-1615
	E-mail:	map@math.tamu.edu

	Textbook:	An Introduction to Number Theory, by Graham Everest and Thomas Ward, Springer-Verlag, 2005, ISBN 1-85233-917-9.

	Prerequisites:	Math 415 (groups, rings, fields, vector spaces); or equivalents

	Course Webpage:	http://www.math.tamu.edu/~map/courses/627-sp08/

	Course Work and Exams:	There will be regular homework assignments, as well as a midterm exam and a final exam. Schedules and grading policies are outlined below.

Exam Schedule:

There will be a midterm exam during the semester as well as a cumulative final exam. The dates and times are listed below.

	Midterm Exam	Final Exam
Date/Time	Mar. 5 (Wed) 3:00-3:50	May 6 (Tue) 10:30-12:30
Location	BLOC 156	BLOC 156

Grading:

	Your final grade will be determined by the total number of points obtained on exams and homework. Out of 300 total points, each component contributes to your grade as follows:

Component	Points
Homework	100
Midterm	100
Final	100

Grades will be distributed along the following basis: A 90%-100%, B 80%-89.9%, C 70%-79.9%, D 60%-69.9%, F 0%-59.9%.

Page maintained by Matt Papanikolas, Dept. of Mathematics, Texas A&M University.