Math 115B, Number Theory

Winter 2019

MWF 12:10-1PM, 147 Olson

ANNOUNCEMENT: Our final is on Friday, March 22, 1-3PM. It will be in our usual classroom and will cover everything from the beginning of the course till the end, with no intended bias towards the first or second half of the course. Please refer to the detailed plan of our lectures below for specifics of what was covered.

You are not allowed to use your book, calculator, phone, or anything other than writing utensils and two sides of a regular sheet of paper of handwritten notes. This cheat sheet can contain anything you'd like.

To help you prepare, both Austin (our TA) and I are having extra office hours the week of the final. Austin's office hours will be Tuesday, 1-3PM. My office hours will be Wednesday, 12-2PM and Thursday, 2:30-3:30PM. There will also be a review session on Tuesday, 3-4 PM in 147 Olson.

Here are some practice problems to help you study. Here are the solutions. In case you want them, here are the solutions to the practice MIDTERM.. Note that solutions to homeworks and the midterm are also available on Canvas.

Finally, don't forget that if you want to complete the extra credit project, you should turn it in by the last day of class.

Welcome to the course webpage for Math 115B. Here you will find some general info about the course. This is also the place to look for homework assignments, occasional course notes, and other things that might interest you.

Textbook   Exams   Homework Assignments   Material by Day   Various Notes   Back to Main Page 

Course Syllabus

Professor: Elena Fuchs
Office: MSB 3109
Email: efuchs at math dot ucdavis dot edu
Office hours: M 11AM-12PM, W 1:10PM-2:10PM.

TA: Austin Tran
TA office: 2204 MSB
TA office hour: Tuesdays 1-2PM

Textbook and Prerequisites:

The textbook we will be using is "Elementary Number Theory" by K. Rosen, 6th Edition.

The most important prerequisite for this course is Math 115A. I will assume that you are comfortable with the material covered in the 115A syllabus, aside from the section on cryptography which will not be necessary for this course.

Homeworks, Exams, and Grading:
Your grade for the course is determined as follows: There will be no make up exams.

Homework (along with occasional supplementary notes) will be posted here every Wednesday. The homework will be collected on Wednesdays in class. No late homework will be accepted, but one homework score will be dropped.

Our midterm will be in class on Friday, February 15. More details about it will be announced in class and posted here closer to the date.

Our final exam code is W. It will take place on Friday, March 22, 1:00-3:00PM.

Basic Plan:

As far as the book goes, we will strive to cover parts of Chapter 7, 9, 11, 12, and 13. For a detailed syllabus as suggested by the department of mathematics, please click here.

The goal of this course is to expose students to various beautiful number theoretic questions and their answers (when known). We will scratch the surface of some subjects, and go deeper into others, but the hope is to impress upon everyone how multifaceted and fascinating number theory is.

Detailed Plan:

The following is a rough outline of what we will be doing in lecture every day, along with the relevant sections in the book (note that the reading for a given lecture should be taken to mean the relevant section of the mentioned chapter). In reality, we may move faster or slower. It will be updated on a regular basis.
Some supplementary notes:

Homework assignments: