Math 104B: Number Theory II (winter 2015)

This is the second course in the Number Theory sequence. It presumes familiarity with Math 104A (Number Theory I). It will focus on characters, continued fractions, diophantine equations, quadratic forms, quadratic reciprocity and basic cryptography.

Meeting times:
Instructor: Alina Bucur
Office: AP&M 7151
Office hours: Tu 2:30-4pm
                    and by appointment
TA: Artem Mavrin
Office: AP&M 6446
Office hours: M 2-4pm
                    week of Jan 11: by appointment

Required text: W. J. LeVeque Fundamentals of Number Theory.
It is available at the UCSD bookstore and the usual online sources (like Amazon). It is the same text as last quarter, so used copies should be available also.
I will also cover a fair bit of material that does not appear in the textbook. I will provide notes for everything, posted as one cumulative file. (Please report typos!)

Reading: Reading the sections of the textbook/notes corresponding to the assigned homework exercises is considered part of the homework assignment. You are responsible for said material whether or not it is discussed in the lecture.

Quizzes: There will be one or two quizzes, during lecture, to be announced at least a week in advance. They will be based on homework.

Midterm exam: Thursday, February 19 in lecture.

Final exam: Tuesday, March 17, 11:30am-2:29pm, AP&M B412. Please note that by signing up for this course, you are agreeing to sit for the final examination at this date and time. The exam will cover material from the whole course, but weighted towards material not included on the midterm. Please bring a blue book to the final.

Grading: 30% homework + quizzes, 30% midterm, 40% final exam.
No textbooks, calculators or other electronics are allowed during exams, but you may bring one 8 1/2 by 11 page of notes (both sides).
No make-up exams will be given and no late homework will be accepted. Cheating on an exam results in 0 points for that exam, as well as further disciplinary action. Please read very carefully the following ACADEMIC INTEGRITY GUIDELINES.

Homework: Assigned weekly on homework webpage, due Wednesdays by 4:30pm in the relevant box in the basement of AP&M.