MT311S: Elementary Number Theory
(1)
(2)
(3)
(4)
4th Homework
Congruences, Chinese Remainder Theorem
Due Friday November 27
You will be graded on one of the first 5 questions.
Suppose that a b (mod n). Then for all c prove that:
(i) ac bc (mod n). (ii) If

Data
Month
1989-January
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1990-January
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STD
VAR
BETA^2
BETA^2*VARm
Idiosyncratic risk
proportion
Vang

NUAD
OLLSCOIL NA hEIREANN
MA
NATIONAL UNIVERSITY OF IRELAND MAYNOOTH
MT311S Elementary Number Theory
January 2013
Dr. M. Mathieu, Professor S. Buckley, Dr N. Budarina
Time: Ninety minutes
Answer all questions.
You are advised to hand up all your roughwo

MT311S: Elementary Number Theory
6th Homework
Index Arithmetic
Due: Never
(1) Let r be a reduced residue such that r12 6 1 (mod 37) and
r18 6 1 (mod 37). Explain why r is a primitive root mod 37.
(2) Verify that 2 is a primitive root mod 37.
(3) Write dow

NUAD
OLLSCOIL NA hEIREANN
MA
NATIONAL UNIVERSITY OF IRELAND MAYNOOTH
January 2014
MT311S ELEMENTARY NUMBER THEORY
Dr. Martin Mathieu, Professor S. M. Buckley,
Dr. J. Murray
Time allowed: ninety minutes.
Answer all three questions.
You are advised to han

NUAD
OLLSCOIL NA hEIREANN
MA
NATIONAL UNIVERSITY OF IRELAND MAYNOOTH
January 2015
MT311S ELEMENTARY NUMBER THEORY
Dr. Martin Mathieu, Professor S. M. Buckley,
Dr. J. Murray
Time allowed: 90 minutes.
Answer all three questions for full marks.
MT311S Elem

MT311S: Elementary Number Theory
1st Homework: Arithmetic, Proof, Induction.
Due: Fri Oct 9.
Instructions: Attempt all questions. You will be graded on both the
clarity and correctness of your solutions.
Axioms of Arithmetic: for all a, b, c Z
(i) a + b =

MT311S: Elementary Number Theory
2nd Homework
Division Algorithm, Euclidean Algorithm
Due Friday 23 Oct
Hand up clearly written answers to the first 8 questions.
Letter symbols a, b, c, d, n, m are integers unless specified otherwise.
(1) How many integer

MT311S: Elementary Number Theory
3rd Homework
Diophantine Puzzles, Fundamental Theorem of Arithmetic
Attempt all problems. You will be graded on one of the first 6 questions.
Due by 4pm on Friday November 13
(1) A hundred bushels of grain are distributed

MT311S: Elementary Number Theory
5th Homework
Fermats Little Theorem, Euler -function, Order
Hand in your solutions to all questions by 4pm, Friday December 11
One of the first 5 questions will be graded.
(1) Determine each of the following mod 17:
(i) 31

Name : Nur Izzati Bt Kamaruzaman
Matric no. : BS 15110482
Lecturer : Dr. Alvie Lo Sin Voi
JOURNAL : QUANTUM OF PHYSICS
Quantum of physics can also be called as Quantum Mechanics or Quantum Theory. It
includes quantum field theory, is a fundamental branch