Math 3400 (Number Theory)
Spring 2015,
UNT
Lecture: LANG 310,
MW 2:003:20pm
Instructor: Professor
Olav Richter
Course Description: Math 3400 is an
introduction to number
theory. 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 2000 or Math 3000 or
CSCE 2100.
Textbook:
Homework: Here
is a
complete list of homework for this course. I will announce homework
assignments
in class. The assignments are usually
due on Mondays at the
beginning of
each class period. Late homework will NOT
be accepted for any
reason. Your lowest
homework score will
be dropped.
Exams & Grading
Policy: Your final
grade will be
based on homework,
two
midterms, and a comprehensive final. The midterms will be on Mar 4^{th}
and on Apr 15^{th}.
The final exam will be on May 11^{th}.
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. 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.
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: The following Tentative
Lecture Schedule gives you an
idea what material
I
intend
to cover in this class, but note that the schedule might
change often. You are
responsible for all announcements/assignments
made in
class!
Tentative
Lecture Schedule
We Jan 21 1.11.5 
Mo Jan 26 3.1+3.2 
We Jan 28 3.3+3.4 
Mo Feb 2 3.5+HW 
We Feb 4 3.5+3.6 
Mo Feb 9 3.7+HW 
We Feb 11 4.1 
Mo Feb 16 4.1+4.2+HW 
We Feb 18 4.3+5.1 
Mo Feb 23 5.2+HW 
We Feb 25 6.1 
Mo Mar 2 Review 
We Mar 4 Midterm 
Mo Mar 9 6.2 
We
Mar 11 6.3+7.1 
Mo Mar 23 7.1+HW 
We Mar 25 7.17.3 
Mo Mar 30 7.3+HW

We Apr 1 
Mo Apr 6 9.1+HW 
We Apr 8 9.1+9.2 
Mo Apr 13 Review 
We Apr 15 Midterm 
Mo Apr 20 9.3 
We Apr 22 9.3 
Mo Apr 27 9.4+HW 
We Apr 29 11.1 
Mo May 4 11.2+HW 
We May 6 Review 


Mo May 11 FINAL 