UNIT: SIT192
Discrete Mathematics 2008 Semester 3
1
Attempt all questions.
1. (a) The propositions p, q , r, and s are dened by:
Express the following in symbolic form:
(i) p (s r)
(ii) (q r) s
(iii) p (q r)
(iv) (q s) p
(b)
(c) (i)
(ii) L.H.S. q (p q )
SIT192 Assignment 1
Due: Friday March 25th, 2011
1. The propositions p, q , r, and s are dened by:
p: they eat
q : they drink
r: they read
s: they study
Express the following in symbolic form:
(i) They dont drink, but they read and study.
(ii) If they stu
1
1. Mathematical Induction; and
2. Counting
Topic 7
Vicky Mak (Burwood) [email protected]
February, 2011
SIT192 Discrete Mathematics
2
Example: In n3 + 3n2 + 2n is divisible by 3, for n 0,
P (n) is n3 + 3n2 + 2n is divisible by 3, and n0 is 0.
If P (n0
UNIT: SIT192
Discrete Mathematics 2008 Semester 3
1
Attempt all questions.
1. (a) The propositions p, q, r, and s are defined by:
p: Vicky likes David
q: Vicky likes Silly
r: Vicky likes Pretender
s: Vicky likes Snory
Express the following in symbolic for
SIT192
DISCRETE MATHEMATICS
TUTORIAL 3
METHODS OF PROOF/SET THEORY
1. Prove:
n is even if, and only if n2 2n 1 is odd.
If m and n are both odd, then m+n is even.
(i)
(ii)
U = cfw_x Z : 1 x 10 and
A = cfw_x U: x is even
B = cfw_x U: x 4
C = cfw_x U: 3 x <
DEAKIN UNIVERSITY: SIT192 Discrete Mathematics Trimester 1, 2012
Page 1 of 4

Attempt as many questions as possible.
Marks are awarded for showing working, as well as for answers.
1.
(a)
The propositions p q r and s are defined by
p: they play
q: they as
DEAKIN UNIVERSITY: SIT192 Discrete Mathematics Trimester 1, 2013 Paper 2 Page 1 of 4

Attempt as many questions as possible.
Marks are awarded for showing working, as well as for answers.
1.
(a)
The propositions p q r and s are defined by
p: they eat piz
DEAKIN UNIVERSITY: SIT192 Discrete Mathematics Trimester 1 2014 Paper 1 Page 1 of 4

Attempt as many questions as possible.
Marks are awarded for showing working, as well as for answers.
1.
(a)
The propositions p q r and s are defined by
p: they play poo
UNIT: SlTl 92 Discrete Mathematics Trimester 1, 2009 Page 1 of 5
Attempt as many questions as possible.
Marks are awarded for showing working, as well as for answers.
1. (a) Thepropositions p, q, r and s are deﬁned by
[9: they eat
q: they drink
r: they ru
UNIT: SlT192 Discrete Mathematics Trimester 1, 2010 Page 1 of 5
Attempt as many questions as possible.
Marks are awarded for showing working, as well as for answers.
1. (a) The propositions p, q, r and s are deﬁned by
[9: they paint
q: they drink
r: they
SIT192 Discrete Mathematics
John Cameron (Geelong) [email protected]
Vicky Mak (Burwood) [email protected]
April, 2012
Topic 6
1.The Euclidean Algorithm for finding the g.c.d. of two
integers
2.Modular Exponentiation
3. Matrices
1
The Euclidean Algori
SIT382 System Security
Assignment 1 (The Essay)
Trimester 2 2015
Objectives:

to understand the critical issues in system security.
to demonstrate the ability to research and apply proper techniques to address a
given system security threat / vulnerabili
SIT192 ASSIGNMENT 1
1.
(i) P(rs)
(ii) s(pq)
(iii) (rq) p
(iv) (rs) (pq)
2.
(i) They drink, or they read and study
(ii) If they dont read, they dont eat
(iii) They study and read if and only if they eat or drink
(iv) They read and dont drink if they dont e
SIT192 Discrete Mathematics
John Cameron (Geelong) [email protected]
Vicky Mak (Burwood) [email protected]
March, 2012
Topic 3: Sets
1. Sets and Subsets
2. Venn Diagrams
3. Set Operation Properties
1
Denitions
Any collection of objects is called a set