MAT 230
Theory of Numbers
Spring 1999-2000
Dr. Jeanne LaDuke
Office Hours: MWF 10:50-11:50 and by appointment in Byrne 556.
Telephone: 773-325-1342
E-mail: jladuke@condor.depaul.edu
Homepage: http://www.depaul.edu/~jladuke/
Text: Burton, David M. Elementary Number Theory. Fourth Edition. McGraw-Hill, 1998.
Prerequisite: MAT 215 or consent.
Content: This course is an introduction to classical number theory with some emphasis on its historical development. It is particularly useful as background for anyone planning to take abstract algebra or for students of computer science who may wish to learn the number theory underlying some methods of cryptography. We will cover chapters 1-7 of the text, and, if time permits, parts of Chapters 10, 11, and 15. The material includes divisibility theory, primes and their distribution, theory of congruences, Fermat's theorem, number-theoretic functions, Euler's theorem, and applications to cryptography.
Assignments and Evaluation: There will be daily homework assignments, some problems to be done but not handed in, and others to be handed in to be graded. There will also be some in-class work. In addition, there will be two tests and a comprehensive final examination. The course grade will be determined as follows: homework and class participation 20%, tests 20% each, final examination 40%. No make-up exams will be given except in highly unusual circumstances and with the approval of the instructor before the scheduled exam.
Academic Integrity: Cheating and plagiarism are examples of academic misconduct that can result in course failure and possible additional disciplinary action. For more details regarding the Code of Academic Integrity, please refer to the Student Handbook section on Academic Integrity Policy at http://www.depaul.edu/~handbook.code17.html.
Important dates:
Friday, April 7: Last day to drop w/100% refund
Monday, April 24: Test 1 (tentative)
Friday, May 12: Last day to withdraw
Monday, May 22: Test 2 (tentative)
Friday, June 2: Last day of class
Tuesday, June 6, 11:45-2:00: Final Examination