|Instructor||Orlando Merino, firstname.lastname@example.org, 874-4442, Tyler Hall 222|
|Meets||MWF 11:00 a.m., Tyler Hall room 106|
|Text||Elementary Number Theory and its applications, by Kenneth H. Rosen, 5th Edition, Pearson/Addison Wesley, ISBN 0-321-23707-2|
|Prerequisites||MTH 307 or permission of the instructor.|
|Topics||We will study selected sections from the following chapters: 1. The Integers (1.3, 1.5) 3. Primes and GCDs (3.1-3.7) 4. Congruences (4.1-4.6) 5. Applications of Congruences (5.1-5.5) 6. Some Special Congruences (6.1,6.3) 7. Multiplicative Functions (7.1,7.3) 8. Cryptology (8.1,8.3,8.4)|
|Evaluation||Final Exam (30%), Midterm Exam (25%), Portfolio (20%), Assignments (25%)|
|About the Course||The course gives an introduction to elementary number theory, which is the study of properties of the integers that can be proved using only elementary techniques. You will do problem solving including proofs and also numerical exploration using Maple. Written communication of mathematics is an important part of this course and will be evaluated with a portfolio.|
|About the Portfolio||
The portfolio consists of solutions to
a list of problems which are
selected by the instructor from the list of
problems assigned as homework.
The purpose of the portfolio is to give the student
an opportunity to practice formal written
communication in mathematics.
It should demonstrate a student's ability to solve problems,
communicate mathematics, and write mathematics.
The portfolio should:
(Links in web site of the text)
Additional Number Theory Links 1
Additional Number Theory Links 2
|On assignments||Assignments will be announced in class. Students may work individually or in group, but each student must submit his or her own solution.|