Algebra Prequisites
Students should have a good command of college algebra. Specifically, you
should have mastered variables, functions, grouped expressions,
algebraic fractions, polynomials, exponents, logarithms, and uses of
the mathematical constant
e. If you need to review algebra, there
are many good study books and
web sites. One good book is
http://www.amazon.com/Forgotten-Algebra-Barbara-Lee-Bleau/dp/0764120085/ref=pd_bbs_sr_1?ie=UTF8&s=books&qid=1201146512&sr=8-1 Forgotten Algebra, Second Edition by Barbara Bleau (Barrons Educational Series, Hauppauge, New
York, 1994). You may skip the following Units in this book:
Topic |
Unit |
|
Numbers |
Division of polynomials |
17 |
Factoring polynomials |
18 |
Solving second degree equations-quadratic formula |
22 |
Solving third-degree and higher equations |
23 |
Solving systems of equations |
26-27 |
Solving inequalities-second-degree |
29 |
Right triangles |
31 |
The topics to study, and corresponding unit numbers in Bleau's book (second edition, may need to be updated for the third edition),
are as follows.
Topic |
Unit |
|
Numbers |
Signed Numbers |
1 |
Grouping Symbols and Simplifying Expressions |
2 |
Solving First-Degree Equations |
3 |
Removing Multiple Grouping Symbols; Solving 1st-Degree Eq. |
4 |
Fraction Equations |
5 |
Literal Equations |
6 |
Applied Problems |
7 |
Positive Integral Exponents |
8 |
Negative Exponents |
9 |
Division of Powers |
10 |
Addition and Subtraction of Fractions |
11 |
Multiplication and Division of Fractions |
12 |
Fractional Exponents |
13 |
Simplifying Expressions with Fractional Exponents |
14 |
Additional Practice with Exponents |
15 |
Multiplication of Monomials and Polynomials |
16 |
Factoring Special Binomials |
19-20 |
Factoring to Solve 2nd Degree Equations |
21 |
Graphing Linear Equations in Two Variables |
24 |
Graphing Quadratic Equations in Two Variables |
25 |
Solving First-Degree Inequalities |
28 |
Logarithms |
30 |
Note that in statistics one most often uses logarithms to the base
e =2.71828..., and
log x with no base indicated often means log to
the base
e.
A more comprehensive but much more expensive book we also recommend is
Intermediate Algebra by Alan Tussy and R. David Gustafson, Pacific
Grove CA, Brooks/Cole, 1999.
Web Sites
--
FrankHarrell - 01 Feb 2004, 24 Jul 2011