RUTGERS
Mathematics Department Thursday, May 24, 2012

Number Theory (Summer 2003)

Information on Math 356:B6 taught by Sasa Radomirovic is kept here.

Final Exam Information

The final exam will be on Thursday, July 3rd, 6-9pm in the usual classroom.

You are allowed to use 1 letter sized, single sided page of handwritten notes (no Xerox copies, no printouts). The notes will be collected with the exam at the end. It is your resonsibility to bring these notes along with you. No calculator will be allowed.

Now that it's all over, here's the final with solutions

Schedule & Office Hours

The course runs from May 28 until July 3, 2003. Classes meet in Beck 121 (on Livingston Campus) Mondays, Wednesdays and Thursdays 6:15-8:45pm.

Office hours are held Mondays before class in the classroom.

Syllabus

The text book is Elementary Number Theory and its applications by Kenneth H. Rosen. The sections below refer to the sections in the text book.

Day Topics planned Topics covered Suggested Problems Homework (due next class)
Wed 5/28 Chapter 1 1.1-1.3 Problem Set 1 Section 1.2: #6
Thu 5/29 3.1-3.2 1.4, 3.1 Problem Set 2 Section 3.1: #10
Mon 6/02 3.3,3.4 3.2, 3.3 Problem Set 3 Section 3.4: #8
Wed 6/04 3.6, Quiz I Quiz, 3.4 Problem Set 4 Section 3.6: #16
Thu 6/05 4.1,4.2 3.4, 3.6 Problem Set 5 Section 4.1: #4
Mon 6/09 4.3,4.4 4.1, 4.2 Problem Set 6 Section 4.3: #12
Wed 6/11 4.6, Review 4.3, Review Problem Set 7
Thu 6/12
   80min. Midterm      Chapter 2
4.4 2.3: #6 OR 4.1: #34
Mon 6/16 Chapter 6 - Wilson, Fermat, Euler Chapter 6 Problem Set 8 Section 6.3: #10
Wed 6/18 Chapter 7 - Multiplicative Functions 7.1, 7.2, 7.4 Problem Set 9 Section 7.2: #10
Thu 6/19 Cryptography Introduction Lecture Notes Problem Set 10 Homework
Mon 6/23 Chapter 9 - Primitive Roots 9.1, discussed prob. sets 8, 9, 10 Problem Set 11 Section 9.2: #10
Wed 6/25 Chapter 9, Quiz II 9.2, 9.3 Problem Set 12 Section 11.1: #6
Thu 6/26 Chapter 11 - Quadratic Residues 11.1, 11.2, 11.3 Problem Set 13 Section 11.4: #2
Mon 6/30 Chapter 12 - Continued Fractions 12.1, 12.2, 12.3
Wed 7/02 Review Review
Thu 7/03 Final Final is cumulative

Course structure and Grades

Every day 1 Homework Problem will be assigned, due next class. There will be 2 Quizzes, each 30 minutes long, with problems chosen from the problem sets. There will be 1 Midterm, 80 minutes long, with problems very similar to those in the problem sets. The Final will be 3 hours long, again with problems very similar to the problem sets.

The final grade will consist of the following parts:

  • 10% Homework
  • 20% Quizzes
  • 30% Midterm Exam
  • 40% Final Exam
  • No grades will be dropped. Instead, extra credit problems (see problem sets) can be solved. Extra credit will be applied towards Homeworks and Quizzes (in that order).

    Links, Feedback and further information

  • You can give me some feedback about the lecture using the random number you have received on the first day of class by going to this page.
  • Working demos and solutions to programming exercises are posted on this page.
  • History of Mathematics and biographies of mathematicians (MacTutor)
  • Random Links   More or less Number Theoretic links. New links are being added as I stumble over them.

  • Links ordered by sections:
  • If you know of another interesting link, you can let me know on this page

  • Go to main page.
    Saša Radomirović