**MAT315H1 - INTRODUCTION TO NUMBER THEORY**

**COURSE
OUTLINE**

Winter, 2005

**Instructor: ** Kyu-Hwan Lee, SS5016E, khlee@math.toronto.edu, 978-4328

**Textbook:** Joseph H. Silverman: *A Friendly Introduction to Number Theory*, 2nd edition.

**Grading Scheme:** Assignments --- 30%, Midterm --- 30%,
Final --- 40%.

**Office Hour:** Monday 2:00-3:00 p.m. or by appointment

**Midterm: ** February 21 (Mon) during the class

**What to study for exams**

90% of the questions will be very similar to exercises of the textbook.

**How to Submit Assignments**

Each assignment of a week will be collected on **Wednesday** of the following week before the class begins.

**Do you have a claim for your marks?**

Every inquiry about marks of assignments and midterm should be made to the TA of the course, **Allan Langridge**, during his office hour, **Friday 9:00-9:30 AM**, at **SP209**. His e-mail address is allan@math.toronto.edu.

**Schedule and Assignment Problems**

The following is the schedule of the course.
The assignment problems will be posted continually as lectures go on.

**WEEK 1**: Chapters 1-7 Exercises **1.3, 3.3, 5.1, 5.4, 6.2, 7.4**

**WEEK 2**: Chapters 8-11 Exercises **8.3, 9.1, 9.2, 10.2, 11.1, 11.5, 11.9**

**WEEK 3**: Chapters 12-15 Exercises **12.5, 13.1, 14.3, 15.1, 15.2, 15.7**

**WEEK 4**: Chapters 16-19 Exercises **16.3, 17.2, 17.3, 18.1, 18.2, 19.1, 19.2** Lecture slides for chapter 18

**WEEK 5**: Chapters 20-22 Exercises **20.2, 20.4, 20.6, 20.14, 21.2, 21.4, 22.1**

**WEEK 6**: Chapters 23-24, Review Exercises **23.1, 23.6, 24.1, 24.2, 24.6**

**WEEK 7**: Midterm, Chapters 25-27 Exercises **25.3, 25.5, 26.1, 26.4**

**WEEK 8**: Chapters 28-30 Exercises **28.3, 29.1, 29.3, 30.3, 30.4**

**WEEK 9**: Chapters 31-33 Exercises **31.1, 32.1, 33.8, 33.9, 33.11**

**WEEK 10**: Chapters 33-34 Exercises **34.2, 34.4, 34.6, 34.8**

**WEEK 11**: Chapters 37-38 Exercises **37.3, 37.4, 38.1, 38.10, 38.11**

**WEEK 12**: Chapters 39-41 Exercises **39.2, 39.10, 40.2, 40.5, 41.2, 41.6**

**WEEK 13**: Chapters 42-45, Review