MATH 406 Section 0102 -- INTRODUCTION TO NUMBER THEORY

SPRING 2012

Time and Room: MWF at 10:00 in MTH B0425

Instructor: Professor David W. Kueker
Office: MTH 2105
Phone: (301)405-5159
dwk@math.umd.edu
Office Hours: MW 3:00

Text: Kenneth H. Rosen, Elementary Number Theory and its Applications, Sixth Edition, Addison-Wesley, 2010.

Description: An introduction to selected topics in number theory.
Topics: To include all or part of the following chapters:

Chapter 1: Integers, induction, and divisibility.
Chapter 3: Prime numbers, greatest common divisors, and the Fundamental Theorem of Arithmetic.
Chapter 4: Congruences and the Chinese Remainder Theorem.
Chapter 6: Some special congruences.
Chapter 7: Multiplicative functions.
Chapter 9: Primitive roots.
Chapter 11: Quadratic residues and the law of quadratic reciprocity.
Chapter 13: Some non-linear Diophantine equations

Note: The list of topics is subject to revision.

Course Work: There will be regular homework assignments, two one-hour exams, and a two-hour final exam. The homeworks are worth a total of 100 points, the one-hour exams are worth 100 points apiece, and the final is worth 200 points, for a total of 500 points.

Homework Assignments:

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 7

Homework 8

Homework 9

Sample Exams

Exam 1

Exam 2

Final Exam

Exam Reviews

Exam 1 Review

Exam 2 Review

Final Exam Review

Exam Schedule:

Exam 1: Monday 27 February.
Exam 2: Monday 9 April.
Final Exam: Friday 18 May, 8:00-10:00.

Collaboration on homework: You may freely discuss the homework with others, but the work submitted must be your own, written in your own words.