Math 017 Worksheet Set I, McLoughlin Fall 2008
Definition 1.1 : Statement A is logically equivalent to statement B, written, A B when A B
Definition 1.2 : Statement A is the logical opposite of statem
Math 017 - Dr. McLoughlins Class Bernoulli / Binomial, page 1 of 2
MATH 017 INTRODUCTION TO MATH
DR. MCLOUGHLINS CLASS
BERNOULLI AND BINOMIAL RANDOM VARIABLES
HANDOUT 11
Note: The basic building block
Math 017, Dr. McLoughlin, Handout 3 Page 1 of 4
HANDOUT X
MATH 017
PROBABILITY DIAGRAMMES
M. P. M. M. MCLOUGHLIN
This is a handout set on the nave or intuitive idea of probability and on geometric pro
Math 017 Handout 13 - McLoughlins Class Measures of Central Tendency, page 1 of 5
MATH 017
DR. MCLOUGHLINS CLASS
MEASURES OF CENTRAL TENDENCY OR LOCATION
HANDOUT XIII
Now, we are studying probability
Math 017 Introduction to Mathematics, Dr. McLoughlin, Handout 9, Page 1 of 1
HANDOUT IX
PROBABILITY
M. P. M. M. MCLOUGHLIN
Recall from Set Theory that elements, a, are members of sets, A, and a set, A
Math 017, Dr. McLoughlin, Handout 5 , page 1 of 7
HANDOUT 5
MATH 017
EULER DIAGRAMMES
DR. M. P. M. M. MCLOUGHLIN
Not every argument is of the form or type (i.e.: given the premises A B, A C,
C, D B,
Math 017 Dr. McLoughlin Handout 5, page 1 of 4
INTRODUCTION TO MATHEMATICS
HANDOUT 5
DR. MCLOUGHLIN
Truth Table for Not
K
T
F
K
F
T
Truth Table for And
B
T
T
F
F
M
T
F
T
F
BM
T
F
F
F
Truth Table for O
HANDOUT 4
THE PEANO AXIOMS
MATH 021 FUNDAMENTALS OF MATHEMATICS
M. P. M. M. MCLOUGHLIN
The properties of addition of natural numbers can be derived from a short set of axioms.
The axioms are called th
Math 017 Dr. McLoughlins Inductive Reasoning Exercise, page 1 of 3
INTRO. TO MATH
DR. MCLOUGHLINS CLASS
EXERCISE SET 0
1. The Circle Problem
Let C be a circle with radius one centred at (0,0).
Step 1.
Math 017, Dr. McLoughlin, Handout 3 Page 1 of 4
HANDOUT 6
THE AXIOMS OF THE REALS
M. P. M. M. MCLOUGHLIN
Some basics on the real line ( R ) :
There is no centre (e.g.: the nonsense about + (-)
= 0 one
Fall 1992 update (1) 2000, update (2) 2005, update (3) 2007 page 1
FREQUENTLY USED NOTATION IN DR. MCLOUGHLIN'S CLASSES
and
or
implies (therefore)
does not imply
for all
there exists
such that
Q. E. D
017 McLoughlin Handout 3
INTRODUCTION TO MATHEMATICS
HANDOUT 3
DR. MCLOUGHLIN
All prime statements P, Q, R, etc. are statements.
If P is a statement, then P is a statement.
If P and Q are statements,
017 McLoughlin Handout 2
INTRODUCTION TO MATHEMATICS
HANDOUT 2
THE CONDITIONAL AND BICONDITIONAL IN WORDS
(SOME OF THE VARIATIONS)
DR. MCLOUGHLIN
Conditional
P Q , P Q , Q P , or Q P
If P, then Q.
Q,
MATH 017 INTRODUCTION TO MATHEMATICS
HANDOUT 8
DR. MCLOUGHLIN
HANDOUT ON INTRODUCTION TO COMBINATORICS
We learned to count before elementary school (one hopes); but, the formal theory of counting is o