Math 453, Elementary Theory of Numbers

Spring 2016

MWF 2:00-2:50PM, 1 Illini Hall

Welcome to the course webpage for Math 453, Sections F13/F14. 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. Some of this information will also be available through our course page on Illinois Compass.

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

Course Syllabus

Professor: Elena Fuchs
Office: 359 Altgeld Hall
Email: lenfuchs at illinois dot edu
Office hours: W 12:30-1:30PM; Th 3-4PM or by appointment.

Textbook and Prerequisites:

The textbook we'll be using is "Elementary Number Theory" by Strayer.

The prerequisite for this course is Math 347 or an equivalent proof-writing course. While 347 itself is not a strict requirement, this course does expect that the students are familiar with writing proofs.

Homeworks, Exams, and Grading:

Your grade for the course is determined as follows: 10% for homework, 25% for each of two midterms, and 40% for the final. There will be no make up exams.

Homework (along with occasional supplementary notes) will be posted here and will be due every Friday at 2PM in class, or in my office by the same day/time (if you choose the office option, you can slide it under the door). You are encouraged to work with your classmates on homework and discuss the homework problems amongst each other. However, solutions should be written up independently, and you should write down which classmates you worked with at the top of your homework. The lowest two homework scores will be dropped. Therefore the policy is that no late homework will be accepted, especially since we will sometimes discuss the solutions to the homework problems in class.

The midterms will be in class on Friday, February 26th and Friday, April 8th. More details about these exams will be announced in class and posted here closer to the dates.

If you have a cold or flu, I ask you to please do yourself, your classmates, me, and all the people we live with a huge favor by staying home and resting, rather than coming to class! If this happens I will work hard to help you catch up on notes and things you missed in class once you are healthy!

Basic Plan:

We will cover Chapters 1-5, and add some additional topics from Chapters 6-8 at the end as time permits. Our goal, in a nut shell, is to understand divisibility, and how the divisors of a number effect various properties of it. Chapters 1-5 offer a variety of different ways in which to interpret this question.
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:

Graded homeworks can be picked up in office hours or in class on Thursdays. Graded midterms can be picked up in office hours.

Instructions in event of emergency