Mathematics and Algebra Review for Applied Statistics
Thomas G. Groleau © 2010

These notes are not a comprehensive review of algebra. They are merely an attempt to cover the basic mathematical ideas typically needed in an introductory applied statistics course. However, proper coverage of the specific skills needed sometimes requires detours into areas not directly used in statistics. Furthremore, in a few areas I have attempted to cover just a little more than the minimum to provide readers with a little extra capacity in their mathematical knowledge. Section 1 is an example of this. The discussion of number sets may not be directly relevant to statistics but it lays a foundation for the remaining topics.

There are also references to calculators throughout these notes. While many modern statistics courses use computer software, hand calculators can still be useful. I suggest a calculator with a minimum of a yx key, a square root key, and a memory in addition to the basic four arithmetic functions (+,-,×,÷). Calculators like this should be available at any major discount store for as little as $10. Virtually any graphing calculator is more than sufficient.

Section 1 Number Sets

Section 2 Real Number Axioms and Properties of Zero

Section 3 Real Number Arithmetic

Section 4 The Order of Operations

Section 5 Percents

Section 6 Exponents and Roots

Section 7 Formulas and Functions

Section 8 Linear Equations and Inequalities

Section 9 Subscripts, Summation and Factorials