Math
3400 (Number Theory)
Spring 2003, UNT
Lecture: GAB 204, MWF 11:00-11:50am
Instructor: Professor
Olav Richter
Course Description: In Math 3400, we will discuss prime numbers
and the
Fundamental Theorem of Arithmetic. Congruences play a crucial role in
this
course. We will cover several special congruences such as Wilson's
Theorem,
Fermat's Little Theorem, and Euler's Theorem. In addition, we will
investigate
the Perpetual Calendar and, as a fun application of congruences, we
will learn
how to quickly compute the weekday of any given date! We will also
cover
various other important topics in Number Theory such as Multiplicative
Functions, Primitive Roots, and Quadratic Residues.
Prerequisites for Math 3400: Math 3510.
Textbook:
Homework: Here
is
a
complete list of homework problems for this course. Homework will be
assigned
at the end of each lecture. Homework will be due on Fridays by 11:50 am
and you
can turn it in before or after (but not during) class. Here
you can
check to see which sections are due when. Homework will be returned in class. Late homework will NOT be accepted for any
reason.
Your lowest two homework scores will be dropped.
Exams &
Grading
Policy: Your final grade
will be
based on your homework (your lowest two homework scores will be
dropped), two
midterms, and a comprehensive final. The midterms will be on February
24 and
April 14. The final exam will be on May 7th. Please make sure that you
are
available at those dates, since there will be NO make up exams!
The grade is comprised of
You are
encouraged to study
together and help each other throughout the semester. If everyone does
well,
everyone will receive a good grade.
Expectations: A fair amount of work is involved in
learning Number
Theory. You are expected to come to lecture on time. Plan ahead so you
are not
late. You should come to every lecture, and come prepared. If you have
to miss
class or if you are late for some unavoidable reason it is your
responsibility
to obtain notes from another student if you miss class. You are
expected to
read the assigned sections and work on the homework problems
immediately after
they are assigned. You should be prepared to ask questions, take notes,
and
look alive in class. Please bring your text book to class and leave the
cell
phone at home. Repeat: NO CELL PHONES OR PAGERS!!! In addition to
attending
lecture, you should spend at least 6 hours per week on my course.
Extra Credit: Do NOT expect to be able to do some extra
work to help
your grade either before or after the final exam. There will be NO
extra credit
other than perhaps an extra problem on an exam.
Some Advice: Math is not a spectator sport. Work through
problems
and examples and text, instead of just reading. Make many notes in the
margins
and redo each and every example from the book and from lecture. You
will not
learn Number Theory from watching the professor or friends display
ideas and
solve problems. You must try problems, finish problems, ask questions,
correct
your mistakes, put concepts in your own words, and practice, practice,
practice! The good news: A small increase in effort usually results in
a big
increase in success!
Disabilities: It is the responsibility of students with
certified
disabilities to provide the instructor with appropriate documentation
from the Dean
of Students Office.
Cheating: No cheating will be tolerated. Anyone
caught cheating will receive an F
in the course. Furthermore, a letter will be sent to the appropriate
dean.
Lecture schedule: In the very unlikely event that you missed
a lecture
you can check here to see what material I covered in class. I will
update the
Actual Lecture Schedule after every class.
Actual Lecture Schedule
|
Mo Jan 13 1.1-1.3 |
We Jan 15 1.4+3.1 |
Fr Jan 17 3.1-3.2 |
We Jan 22 3.2-3.4 |
Fr Jan 24 HW |
Mo Jan 27 3.4 |
We Jan 29 3.4-3.5 |
Fr Jan 31 3.5+HW |
|
Mo Feb 03 3.6+4.1 |
We Feb 05 4.1 |
Fr Feb 07 4.1+HW |
Mo Feb 10 4.2-4.3 |
We Feb 12 5.1 |
Fr Feb 14 HW |
Mo Feb 17 5.2 |
We Feb 19 6.1 |
|
Fr Feb 21 Review |
Mo Feb 24 Midterm |
We Feb 26 UNT closed No class |
Fr Feb 28 6.1 |
Mo Mar 03 6.2-6.3 |
We Mar 05 6.3+7.1 |
Fr Mar 07 HW |
Mo Mar 10 7.1 |
|
We Mar 12 7.1 |
Fr Mar 14 HW |
Mo Mar 24 7.2-7.3 |
We Mar 26 7.3 |
Fr Mar 28 7.4 |
Mo Mar 31 9.1 |
We Apr 02 9.1 |
Fr Apr 04 HW |
|
Mo Apr 07 9.2 |
We Apr 09 9.2-9.3 |
Fr Apr 11 Review |
Mo Apr 14 Midterm |
We Apr 16 9.3 |
Fr Apr 18 9.3-9.4 |
Mo Apr 21 9.4 |
We Apr 23 11.1 |
|
Fr Apr 25 HW |
Mo Apr 28 11.1 |
We Apr 30 11.2 |
Fr May 02 Review |
|
|
|
We May 07 FINAL |
The following Tentative Lecture Schedule gives you an idea what material I intend to cover in this class, but NOTE that the Actual Lecture Schedule (above) might be different!
Tentative Lecture Schedule
|
Mo Jan 13 1.1-1.3 |
We Jan 15 1.4+3.1 |
Fr Jan 17 3.1-3.2 |
We Jan 22 3.2-3.3 |
Fr Jan 24 HW |
Mo Jan 27 3.4 |
We Jan 29 3.4-3.5 |
Fr Jan 31 3.5 |
|
Mo Feb 03 3.6+4.1 |
We Feb 05 4.1 |
Fr Feb 07 HW |
Mo Feb 10 4.1-4.2 |
We Feb 12 4.3+5.1 |
Fr Feb 14 HW |
Mo Feb 17 5.1-5.2 |
We Feb 19 5.2+6.1 |
|
Fr Feb 21 Review |
Mo Feb 24 Midterm |
We Feb 26 6.1 |
Fr Feb 28 6.1+6.2 |
Mo Mar 03 6.3+7.1 |
We Mar 05 7.1 |
Fr Mar 07 HW |
Mo Mar 10 7.1 |
|
We Mar 12 7.1-7.2 |
Fr Mar 14 HW |
Mo Mar 24 7.3 |
We Mar 26 7.3-7.4 |
Fr Mar 28 7.4 |
Mo Mar 31 9.1 |
We Apr 02 9.1 |
Fr Apr 04 HW |
|
Mo Apr 07 9.2 |
We Apr 09 9.2-9.3 |
Fr Apr 11 Review |
Mo Apr 14 Midterm |
We Apr 16 9.3 |
Fr Apr 18 9.3-9.4 |
Mo Apr 21 9.4 |
We Apr 23 11.1 |
|
Fr Apr 25 HW |
Mo Apr 28 11.1 |
We Apr 30 11.1-11.2 |
Fr May 02 Review |
|
|
|
We May 07 FINAL |