## Number Theory, MATH 455/655, Fall 2007

This is the home page and first day handout for MAT 455/655, meeting MW from 2:30 -- 3:45 in CBC-C114.  My name is Dr. Arthur Baragar, my office is CBC-B 308, and I can be reached at 895-0378. Important information announced in class will also be posted on WebCampus. The prerequisite for this course is MATH 330 (linear algebra).

Syllabus: This course is expected to cover the following topics in number theory:

• Chapters 1 -- 4:  Introduction.
• Chapters 5 -- 7:  The Euclidean algorithm.
• Chapter 8 -- 11:  Modular arithmetic.
• Chapter 12 -- 15:  Primes.
• Chapter 16 -- 18:  RSA (modern cryptography).
• Chapter 19:  Better composite tests.
• Chapters 28 -- 32:  Fermat's Last Theorem, Pell's equation, Diophantine approximation.
• Chapters 43 -- 48:  A very quick introduction to elliptic curves.
Text:  A Friendly Introduction to Number Theory, third edition, published by Prentice Hall. The website for this text is at http://www.math.brown.edu/~jhs/frint.html.

• Homework: 10%.
• Exam one, Wednesday, October 3rd: 17%.
• Exam two, Wednesday, October 31st: 17%.
• Exam three, Wednesday, November 28th: 16%.
• Final, Monday, December 12th, 3:10 pm -- 5:10 pm: 30%.  *** Corrected ***
• Uncommitted points: 10%
Exams one and two will have an in class component and a take home component.  Exam three is a take home exam.  The take home components are due the following Monday at the beginning of class.  The grading scheme for students taking MAT 655 will be slightly different. There is no preset corelation between numerical grades and letter grades.  A letter grade (without + or -), a report card, if you like, will be posted on WebCampus after every exam. The distribution of the "Uncommitted points" will be described in class. They are to allow flexibility in the grading scheme, and may go to, for example, special projects.

Office Hours: If you need to see me, please look for me during the office hours posted below, or please make an appointment. Office hours begin the second week of classes.

• Monday and Wednesday, 11:15 am -- noon, 1:00 pm -- 1:45 pm,  *** Revised ***
• ... or by appointment.
The morning office hour immediately follows my MATH 126 class, and is primarily intended for those students, though you are welcome to show up at that time too.  However, I may be  helping students in our classroom, rather than in my office, so do not be surprised if I show up late.  A good time to ask quick questions is in our classroom between 3:45 and 4:00.

Other Important Dates:  (See the UNLV calendar for more details.)
• August 27:  Instruction and late registration begin.
• August 31:  Final date for late registration, course additions, changes, or fee payment (with late penalty).  Last day to inform me of absences due to religious holidays.  Last day to drop a course without it showing up on transcripts.
• September 3:  Labor Day recess.
• October 26:  Nevada Day recess (Friday).
• November 2:  Final date to drop or withdraw from classes (except short courses).
• November 12:  Veterans' Day recess (Monday).
• November 22:  Thanksgiving.
• December 3 -- 8:  Study Week.
• December 10 --15:  Final examinations.
"If you have a documented disability that requires assistance, you will need to contact Disability Services (DS) for coordination in your academic accommodations. DS is located within the Learning Enhancement Services (LES), in the Reynolds Student Services Center (SSC), Room 137. The DS phone number is 702-895-0866, TDD 895-0652."  Their website is at http://studentlife.unlv.edu/disability/.

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