Math 475, Introduction to Number Theory

t=Fall 2005, MWF 2pm-3pm, (x,y,z)=3088 East Hall

Instructor: Harm Derksen
office: 3067 East Hall
email: hderksen@umich.edu
phone: (734) 763 2309
webpage: http://www.math.lsa.umich.edu/~hderksen/math475.f05/index.html
office hours: Mo 1-2pm, Tu 12-1pm, Fr 3-4pm.
Book: I. Niven, H. S. Zuckerman, H. L. Montgomery, An introduction to the Theory of Numbers, 5th edition, Wiley.
MondayWednesdayFriday
Sep 5
Labor Day
Sep 7
First Class
Sep 9
Sep 12 Sep 14 Sep 16
Sep 19 Sep 21
Problem Set 1 (pdf, ps, dvi) due
Solutions (pdf, ps, dvi).
Sep 23
Induction Handout (pdf, ps, dvi).
Sep 26 Sep 28
Problem Set 2 due. (pdf, ps, dvi)
Solutions (pdf, ps, dvi).
Sep 30
Equivalence Relation Handout (pdf, ps, dvi).
Oct 3
Numeral Systems Handout (pdf, ps, dvi)
Oct 5
Problem Set 3 (pdf, ps,dvi) due.
Solutions (pdf, ps, dvi)
Oct 7
Oct 10 Oct 12
Midterm 1: everything up to (and including) section 2.2.
Solutions (pdf, ps, dvi).
Oct 14
Oct 17
Study Break
Oct 19
Problem Set 4 (pdf, ps, dvi) due.
Solutions (pdf, ps, dvi)
Oct 21
Oct 24 Oct 26
Problem Set 5 (pdf, ps, dvi) due.
Solutions (pdf, ps, dvi)
Oct 28
Oct 31 Nov 2 Nov 4
Nov 7
Problem Set 6 (pdf, ps, dvi) due.
Solutions (pdf, ps, dvi)
Nov 9 Nov 11
Nov 14 Nov 16
Problem Set 7 (pdf, ps, dvi) due.
Solutions (pdf, ps, dvi)
Nov 18
Nov 21
Midterm 2: 2.3, 2.4, 2.5, 2.7, 2.8, 5.3. Note: parts of the book that I have skipped in class also will not be on the exam.
Solutions (pdf, ps, dvi).
Nov 23 Nov 25
Thanksgiving Break
Nov 28 Nov 30 Dec 2
Dec 5 Dec 7 Dec 9
Problem Set 8 (pdf, ps, dvi) due.
Solutions (pdf, ps, dvi)
Dec 12
Last Class
Dec 14
Study Day
Thursday, Dec 15, 1:30-3:30pm
Final Exam, 1068 EH.
Note that the place has changed! It will NOT be in our usual class room, but in a different room with more seating.
Chapter 1, Induction, Equivalence Relation, Numerical Systems Handouts. Chapter 2, except 2.6, 2.9, 2.10. Chapter 3, 3.1,3.2,3.3. And section 5.3 in Chapter 5.

Policies

Grade: 2 midterms, 20% each; final, 25%; homeworks, 35%
Homework: Work alone or in groups of 2. Each person has to write the solutions his/her-self. If you work with someone else, you should acknowledge this by writing the name of that person you worked with at the top of page 1. Bonus problems are harder and are optional. You can receive bonus points by doing the bonus problems. No late homework is accepted.