Math 312: Introduction to Number Theory

UBC, Winter 2016 Term 1: Sep 06 to Dec 02


General Information

Instructor: Nuno Freitas
Office: Mathematics Building, room 209
Office hours: Mon Wed 12:30-14:00, room 300B LSK building
e-mail: (My first name)

TA: Adela Gherga
Office hours: Tue 9:30-11:00 and Fri 15:30-17:00, room 300B LSK building

Lecture room: Leonard S. Klinck building, room 460
Lecture time: Mon Wed Fri: 11:00 AM to 12:00 PM

Textbook: K. Rosen, Elementary Number Theory, 6th edition.


This is a first course in number theory, aimed at students who have some (but not necessarily much) experience with reading and writing proofs. Specifically, it will be assumed that students are familiar with basic techniques of mathematical proof and reasoning such as induction and proof by contradiction. We will introduce basic concepts of number theory, such as prime numbers, factorization, and congruences, as well as some of their applications, particularly to cryptography.

You can find a detailed syllabus here.

You can have an idea of what was done in the past by looking into the following websites:


Grading Scheme: There will be 3 midterms from which the least score will be automatically discarded.
The two top scores in the midterms will count for 20% + 20% = 40% of the final grade.
The final exam will correspond to the remaining 60% of the final grade.

Homework: Lists of suggested problems from the textbook will be made available regularly. 20% of each midterm and final exam will constitute of listed problems.

Exams: All exams will be closed-book, closed-note, no calculators. You are required to be present at all examinations. Non-attendance will result in a mark of zero being recorded. No make up midterms will be given.

Midterm: All the midterms will take place during class. Probable dates are

Homework problems and other things you should do