Elementary Number Theory
Math453 Section F13/F14, Fall 2011
Date/time/location : MWF 2:00-2:50 in 145 Altgeld.
Instructor: Youness Lamzouri, office 326 B Altgeld, email: lamzouri @ math.uiuc.edu.
Office hours: Wednesday and Friday, 3:00-4:00 pm,
or by appointment.
Textbook: "Elementary Number Theory"
by James Strayer.
Course Description :
This course is an introduction to number theory, the brunch of mathematics which deals with the properties of numbers in general and integers in particular. It is also one of the oldest branches of mathematics, and one of the largest. The prerequisite is "Math 347", or another course on proof techniques and proof writing, such as CS 173; in particular, you should know how to properly write up a mathematical argument, and be familiar with standard proof techniques, such as induction and proof by contradiction.
: We will cover the first four chapters of the Strayer text essentially in full: Divisibility, Congruences, Arithmetic functions and Quadratic residues. Then, we shall select topics from the remainder of the text, depending on the time available and student interest.
Homework: Graded homework assignments will normally be given out on Friday and will be due in class the following Friday. Late homework will not be accepted . If you will miss class, you may place the homework in my mailbox (250 Altgeld) before class (by 1:50 PM). The lowest homework grade will be dropped. The homework and its solutions are
Midterm exams: There will be two in-class midterm exams: Friday October 7, and Friday November 11. Detailed
exam syllabi will be posted about one week before each exam date.
Final Exam: The final exam will be comprehensive. It is scheduled on
Wednesday, December 14, 1:30-4:30 PM.
Grades: Homework will count for 15%, midterm exams 25% each, and the final exam 35%.
Missed exams: I do not give make-up exams. If you miss an exam and have a valid excuse, the exam will not be taken into account when computing the overall exam average. Valid excuses must be documented by a letter from the Dean or Emergency Dean; see the Emergency Dean's website for more information.