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

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.

practice final pdf-file