MATH 40520 THEORY OF NUMBERS--Fall 2011.

Course Information

Instructor: Sam Evens sevens at nd.edu

Office Hours: M 1:00--1:50 HH 222, W 5:20--6:10, HH 222, and by appointment. You may email me or call (631-7165) to set up appointments.

Text:

• Niven, Zuckerman, and Montgomery, An Introduction to the Theory of Numbers, 5th edition

  Class Time: MWF 1:55--2:45, HH 125.

  Course syllabus

  • pdf file

  Exams :

  • First hour exam, Monday Septebmer 26
  • Second hour exam, tentatively scheduled for Friday, November 4th
  • Final exam will be Wednesday, December 14, 4:15--6:15, in HH 125
  • We will cover properties of primes, modular arithmetic, quadratic reciprocity, algebraic number fields, and other topics, time permitting
  • We will aim to cover chapters 1, 2, 3, 5, 8, and 9 of the text.

    Useful websites:

    List of first 1000 primes

    Modular arithmetic calculator by Ben Jones

    Handouts:

    • Summary of RSA algorithm pdf file
    • Review material on write gcd(a,b) as a combination of a and b pdf file
    • Summary of facts needed to prove Proposition 2.4.4 in Ireland and Rosen pdf file

      Assignments:

      Assignments with a date at the end are due on the date specified.
      • Problem Set 1, due Wed Aug 31pdf file
      • Problem Set 2, due Wed Sept 7pdf file
      • Problem Set 3, due Wed Sept 14pdf file
      • Problem Set 4, due Wed Sept 21pdf file
      • Problem Set 5, due Wed Oct 5pdf file
      • Problem Set 6, due Wed Oct 12pdf file
      • RSA project, due Wed Oct 12pdf file
      • Problem Set 7, due Wed Oct 26pdf file
      • Problem Set 8, due Mon Nov 7pdf file
      • Problem Set 9, due Mon Nov 21pdf file
      • Problem Set 10, due Mon Dec 5pdf file

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