## Introduction to Number Theory, Math 104, Winter quarter 2006:

** Course material:** We use the book `Number theory with computer
applications' by Kumanduri and Romero. No programming will be required.
A tentative outline of the material to be covered is given
below. This may change
during the course, or we may move faster or slower than projected:

First quarter: chapters 1-5, 7, 9,

Second quarter: chapters 11, 14, 17, 19, possibly chapter 15,

Third quarter: to be determined, possibly more material on elliptic
curves

** Office hours:M4-5 WF3-4**

** Office:** APM 5256, tel. 534-2734

** Teaching assistant:** Jake Wildstrom,
office APM 5301 dwildstr@math.ucsd.edu

**NEW TIME FOR TA-SECTION:** Warren Lecture Hall 2113

** Computation of grade:** Final 50%, Midterm 30%, Homework 20%
** Dates of quizzes and midterm:**

midterm: 2/24

final: 3/22: 11:30-2:30

** Homework assignments:** The exam problems will be similar
to homework problems. So doing the homework problems is part of your
preparation for exams, and is far more important than the 20%
what they count for the grade. Homework is to be turned in on
Mondays.

for 1/23: p 221: 1(b), 4, 12, 14, p 420: 5, 7, p 430: 1bc, 5b, 6, 2

for 1/30: Section 9.2: 4, 6ac (need not determine S_{2^r}), Section 11.1:
5 (only for square root of 2 - look at Example 11.1.54), 6 or Section 11.2: 6.

for 2/6: Section 11.2: 7, 15, Section 11.3: 4, 11

for 2/13: Section 11.4: 2 (only square root of 17), 4(b), 8,
Section 11.5: 4, 5.

for 2/22: Section 11.6: 2, 5 (only for log(1+x)), Section 13.1: 4, 7

Review problems for midterm (need not be turned in)
Section 9.1: 2, 5, 11, Section 11.4:3, 4(a), Section 11.5: 2, Section 13.1:
5, 10

for 3/6: Section 14.5: Find three solutions for 3(a), 16(a)(b),
Section 19.1: 2, Section 19.3: 5, 9

for 3/13: Section 19.4: 3, 4, Section 19.5: 5, 9,

preparation for final: handout, problems 42.3, 42.5: here the point
O (infinity) does not count as a solution, so N_p differs by 1 from the
values in the book.

** Final: ** The final will take place on Wednesday, 3/22: 11:30-2:30
in class. You are allowed to use one cheat sheet and a calculator.
Final office hours Tuesday 4-5 ** Note change of time from what was
written in class**.
Here is a practice final:
practice final
pdf-file

** Midterm: ** The midterm will take place on Friday, 2/24 in class.
The material will go until the last homework assignment including the
review problems (some of them are very similar to problems already
assigned before). It is likely that there will be some computational
problems such as calculating a Legendre symbol, calculating a continued
fraction, or the value of a continued fraction. Make sure that you
are familiar with the basics for such calculations.