# Intermediate Algebra Class Notes

What you need to do this week (after attending the first
class):

A. Look over Class Notes for 01/14/07 and 01/16/07 (online links found in the

right-hand pane of the homepage).

B. Read the following three (3) webpages (online links found in the left-hand

pane of the homepage):

1. Course Syllabus

2. Course Schedule

3. Course Info & Policies (covered by Quiz #01* on Wed., Jan.23rd)

* This first quiz consists of ten multiple-choice and True-False questions. All

subsequent quizzes will cover math problems selectively picked from the most

recent HomeWork exercises, and will be given without any prior notice.

I. Sets -

A. Symbols:

B. Number Sets (p.8) - See Figure 1.2

1. N = {1, 2, 3, ...}

2. W = {0, 1, 2, 3, ...}

3. = {..., -3, -2, -1, 0, 1, 2, 3, ...}

N, W & are all in “roster” notation

= {x | x is a terminating or a repeating decimal}

5. J = {x | x is a non-terminating, non-repeating decimal}

6. = {x | x is a decimal}

Q, J & are all in “set-builder” notation

II. Examples (pp.10-12): Exercises #34,68,14,80

HW: Read pp.2-10 (textbook)

pp.10-12 / Exercises #1-97 (every other odd)

I. Absolute Value (p.15):

l x l = distance from zero (on a number line)

II. Opposites:

A. - (-a) = a

B. a – (-b) = a + b

III. Division involving Zero:

A. 0 ÷ a = 0

e.g., 0 ÷ 7 = 0 (since 0 = 7 × 0)

B. a ÷ 0 is “undefined”

e.g., 7 ÷ 0 = ? (requires 7 = 0 × ?)

note: no such number exists, i.e., undefined

IV. Distributive Property (pp.21-22):

a(b ± c) = ab ± ac

V. Examples (pp.24-25): Exercises #8,46,90,100,

122

HW: Read pp.13-24 (textbook)

pp.24-26 / Exercises #1-141 (every other odd)