# Math 104C: Number Theory III (Spring 2015)

This is the second course in the Number Theory sequence. It presumes familiarity with Math 104A,B (Number Theory I, II). It will focus on quadratic forms, quadratic reciprocity, zeta functions, distributions of primes and elliptic curves.

**Meeting times**:

- Lecture (by Alina Bucur) TuTh 12:30-1:50pm, AP&M 5829
- Discussion section (by Sam Lind) F 5-5:50pm, AP&M B412

Instructor: Alina Bucur Office: AP&M 7151 Email: alina@math.ucsd.edu Office hours: M 2-3:30pm if you cannot make this time, email for an appointment |
TA: Sam Lind Office: AP&M 6414 Email: swlind@ucsd.edu Office hours: Tu, F 3-5pm |

**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, May 7 in lecture.

**Final exam**: Monday, June 8, 11:30am-2:30pm, AP&M 5829. *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 Mondays by 4:30pm in the relevant box in the basement of AP&M.

**Announcements**:

- Cox's book can be found in electronic form via the UCSD library. Click on link under "Get it online". You have to be on campus or use VPN to get access.
- The first hw is posted.
- There will be a quiz on Thursday, April 23, in class.
- My office hours for Monday 4/20 are cancelled.
- HW2 is now due Tuesday, 4/21 at 4pm.
- I will hold office hours W 4/22, 2-3pm.
- On Friday 5/15, Sam's office hours will be from 2-3 and from 4-5 PM. This change only affects the office hours this week, they will return to 3-5 PM next week.
- Since Monday 5/25 is a holiday, I will also accept hw6 in lecture on Tuesday 5/26. If you have not managed to drop it off by then, please bring it to class.
- Maynard's paper can be found here.