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**Instructor: **Dr. B. Landman

**Section: ** 01

**Class Times: **T, R 12:30-1:45

**Office: **310 Boyd

**Office Hours: **T,R 11:30-12:30, 1:45-2:15, or by appointment

**E-mail: ** landman@westga.edu

**Phone:
**678-839-6489

**Textbook: **Elementary Number Theory, Sixth Edition, by David M.
Burton

**Prerequisite:** Successful Completion of MATH 2853 (Linear Algebra) and MATH 3003
(Transition to Higher Mathematics)

** Topics: **We will study divisibility properties of the integers, primes and their
distribution, congruences including the Chinese remainder theorem, FermatÕs
theorem, WilsonÕs theorem, special number theoretic functions, the Euler-phi
function, the quadratic reciprocity theorem, perfect numbers, and the Fibonacci
sequence

** Grading:** Grades will be based on two
in-class tests, a comprehensive in-class final exam, homework, and team
problems.

** Tests:** The dates for the tests and
final exam are as follows:

**Test 1**
Tuesday, September 26

**Test 2** Tuesday, November 14

**Final Exam **Thursday, December 7, 11A.M.- 1P.M.

__Homework__** :** There will be
regularly assigned homework (typically once per week) that will be collected
and graded. Discussion among students about the homework is permitted, and
encouraged. However, each individual must write up his or her own solutions,
which should demonstrate that individualÕs understanding of the work. In other
words, your written work must clearly be your own; NO ONE IS TO SHOW A SOLUTION
TO ANOTHER STUDENT BEFORE THE ASSIGNMENT IS DUE. A violation of this will
result in a grade of 0 for that entire assignment, even if only one problem is
copied (whether a student was the ÒcopierÓ or Òwas copied fromÓ will not
matter: a grade of 0 will be given for the homework grade).

** Team Problems:** Some problems
will be assigned as Òteam problems,Ó where a group of 2-3 students will be
given a particular problem. These problems will be assigned on (most)
Thursdays, the teams will begin working on the problems during the latter part
of ThursdayÕs class, and will present their solutions to the class at the next
class meeting on Tuesday. Grades for each assignment will be either a 0 or a 10
per problem, depending on whether the team is able to present their solution in
class (partial solutions are acceptable, as long as meaningful effort was
contributed by the team members). For each problem, all members of a given team
will receive the same grade (unless some member(s) did not participate). The
make-up of the teams will change from week to week.

** Grading Procedure:** The final
grade for the course will be determined as follows:

Two tests: 30%

Final exam 25%

Homework 25%

Team Problems 20%

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**Grading Scale: ** A: 89 or higher

** **B: at least 78, but less than 89

C: at least 67, but less than 78

D: at least 56, but less than 67

F: less than 56

__Make-up Test Policy__**: **There
will be **no** make-up tests given
under any circumstances. If one test is missed, the final exam score will be
used in its place. If both are missed, the final exam score will replace one of
the tests, and the other test score will be 0.

** Homework Policy: **Homework will not be accepted later than the date it
is due. Your lowest homework score will be dropped. If a homework assignment is
late, then it will represent the ÒdroppedÓ assignment. DonÕt be late with your
homework! (I will accept homework up to 5P.M. on the date it is due).

** Academic Honesty:** Homework solutions that are not your own work (even
one statement!) will result in a grade of 0 for that homework assignment. If
this occurs on a second homework assignment, the student will receive a grade
of F for the course. Any act of academic dishonesty on one of the tests or the
final exam will result in an F for the course.

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** Classroom rules:** It is important that every student and the
instructor be able to learn and work in an atmosphere conducive to learning.
Interruptions, excessive noise, or other potentially distracting behavior
should not take place during the scheduled class time. The following are not
allowed during class time (12:30-1:45): cell phones ringing, beeping, etc.
(all cell phones must be off!); eating or drinking; classroom conversation not
relevant to class discussion; sleeping; excessive tardiness; leaving class
early without prior notice to the instructor; any other disruptive behavior.
Violations of these rules will be handled as follows: (a) 1

__Other__**: **

**It is strongly recommended
that you allow at least six hours each week, outside of class, for homework and
study (more would be better!).**

**Important Dates: **see test and final exam dates above

** **August 16, Wednesday: Last day to add or drop a class

October 6, Friday: Last day to withdraw with grade of W

__Section__ __Exercises__

1.1 1a-h, 2-10,12

1.2 1-6,8-12,13a-g

1.3 1-7,10,12

1.4 1,3-8,11

1.5 2,3a,b,d,e,f,6,12

1.6 1,2a,b,3,5a-g,7a-f,8

1.7 1a,b,3,12c,d,e

2.1 1-19 (read solution to 18 in back of book)

2.2 1-7,8a,c,e,g,i,k,o,9b,c,d,14,15,17

2.3 1a-h,2a-h,3,4,9,10,12,17,20

2.4 1,2,5a,c,6a,b,c,8a-f,k,l,9a,b,15a,b,c,f

2.6* 1-4,6,10,11,14

3.1* 1,2,4,5,6a-e,8,9,10,20a-e

3.2* 1,4a,c

4.1* 1-5

4.2* 1,3

4.3* 1a-h,2

* - as time permits