| Instructor: |
Gábor Hetyei
Office: Fretwell 335F, Phone: 687-1045, E-mail: ghetyei@uncc.edu
Office hours: Tuesdays 3:30-4:30 pm, Thursdays
1:00-1:30 pm and 4:30-5:00 pm, or by appointment.
|
| Text: |
Elementary Number Theory by David M. Burton, seventh Ed.,
McGraw-Hill.
|
| Prerequisite: |
MATH
3163 with a grade of C or better or consent of the department.
|
|
Topics:
|
- Induction and the Binomial Theorem (Chapter 1)
- Divisibility (Chapter 2)
- Primes and Their Distributions (Chapter 3)
- Congruences (Chapter 4)
- Fermats Little Theorem and Euler's generalization (Section 5.2,
Chapter 7)
- Number Theoretic Functions (Chapter 6)
- Primitive Roots and Indices (Chapter 8)
- Quadratic Reciprocity (Chapter 9)
- The Fermat Conjecture (Chapter 11, time permitting)
|
|
Test Dates:
|
|
Test 1:
|
Tuesday, February 11, 2:00-3:15 pm.
|
|
Test 2:
|
Tuesday, March 25, 2:00-3:15 pm
|
| Final Exam: |
Tuesday May 6, 2014, 2:00 - 4:30 pm
(Double-check in the UNCC Exam
schedule !)
The final exam will be cumulative, consisting of two parts. The first
part will be mandatory, covering only material taught after Test 2. The
second half will contain questions reviewing the material taught before
Test 2. This part will be optional, if left unanswered, I will substitute the
average of your test scores.
|
|
| Homework: |
Homework will be assigned nearly every day, and will be usually collected on
Tuesdays. I will make an effort to regularly post the homework on the webpage
http://math2.uncc.edu/~ghetyei/courses/4161/hw.html
In case of discrepancy, what I said in class is "official".
A random selection of the assigned exercises will be graded. Some homework
exercises will be discussed in next class and not graded. Past due
assignments will be counted at the rate of 90% of their value.
No credit is given once the solution is explained in class.
|
| Evaluation: |
Grades will be based on: 23% for the homework, 22% for each of the
tests, and 33% for the final (22% for the mandatory part, 11% for the
optional part).
|
|
Class meeting: |
TR 2:00 - 3:15 pm in Fretwell 223
|
|
MATH 5161 students: |
Contact me, if you are taking this class at the 5161 level. Beyond
satisfying all requirements that MATH 4161 students have to meet, you
will either have to hold one lecture or write a short term paper.
|
|
Homepage: |
http://math2.uncc.edu/~ghetyei/courses/4161/index.html
|