34
Probability and Counting Techniques
If you recall that the classical probability of an event E S is given by
P (E ) =
n(E )
n(S )
where n(E ) and n(S ) denote the number of elements of E and S resp
25
Integers: Addition and Subtraction
Whole numbers and their operations were developed as a direct result of
peoples need to count. But nowadays many quantitative needs aside from
counting require nu
26
Integers: Multiplication, Division, and Order
Integer multiplication and division are extensions of whole number multiplication and division. In multiplying and dividing integers, the one new issue
28
Real Numbers
In the previous section we introduced the set of rational numbers. We have
seen that integers and fractions are rational numbers. Now, what about
decimal numbers? To answer this questi
29
Functions and their Graphs
The concept of a function was introduced and studied in Section 7 of these
notes. In this section we explore the graphs of functions. Of particular interest, we consider
27
Rational Numbers
Integers such as 5 were important when solving the equation x +5 = 0. In a
similar way, fractions are important for solving equations like 2x = 1. What
about equations like 2x + 1