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MATH 3126, Number Theory winter semester 2016

Course outline

  • Lecture: Tuesday 2:00-3:20 PM, Thursday 2:00-3:20 PM, Main Campus Room A223.

  • Instructor: Ihor Stasyuk

  • Office: Room H351-B

  • Phone: 705 474 3450 ext. 4442

  • E-mail: ihors@nipissingu.ca

  • Office hours: Tuesday 3:30-4:30 PM, Thursday 3:30-4:30 PM or by appointment.

  • Textbook:
    "Elementary Number Theory in Nine Chapters"
    by James J. Tattersall
    2nd edition Cambridge University Press.

  • Topics: The course will be based on Chapters 1-5 of the textbook.
    • Chapter 1, The intriguing natural numbers (polygonal numbers, sequences of natural numbers, the principle of mathematical induction).
    • Chapter 2, Divisibility (the division algorithm, the greatest common divisor, the Euclidean algorithm, Pythagorean triples).
    • Chapter 3, Prime numbers (Euclid on primes, number theoretic functions, multi- plicative functions, factoring, the greatest integer function, primes revisited).
    • Chapter 4, Perfect and amicable numbers (perfect numbers, Fermat numbers, amicable numbers).
    • Chapter 5, Modular arithmetic (congruence, divisibility criteria, Eulers phi-function, conditional linear congruences).

  • Examinations: There will be a nal exam in April and one midterm exam at the end of February or beginning of March (the date to be announced in class). The midterm and the nal exams will be closed book.

  • Assignments: There will be several marked home assignments devoted to solving prob- lems similar to those considered in class. No late assignments will be accepted.

  • Distribution of marks:
    assignments midterm exam final exam
    35% 25% 40%