Module 1  Review of Fundamentals
Learning Objectives
In this module you will study the real
number system and review some of the basic algebraic skills that are important
for the remainder of this course
After completing this module you will be
able to:

Identify various kinds of real numbers (e.g. integer, rational, irrational)

Explain why some numbers have to be "irrational"

Locate given numbers graphically on a "Number Line",
and estimate the value of a number from its
position on the Number Line

Use "interval notation" and the language of set theory to describe sets of Real Numbers

Use basic properties of arithmetic operations to identify equivalent algebraic expressions and to reexpress a given expression in various alternative forms (eg "expand" or
"simplify")

Explain what it means to "solve" an equation or inequality, and do so for various kinds of examples

Use a "Cartesian Coordinate System" to plot and identify points in a plane

Express distance and slope between two points in terms of their Cartesian coordinates

Plot graphs of linear and quadratic equations, and identify the equations from given or specified graphs.

Apply these skills in a wide variety of practical situations
Each section of the notes for this module addresses some of these
in more detail.
SectionbySection Learning Objectives
Go To:
Sec 1.1
Sec1.2
Sec1.3
Sec1.4
Assignment
Lab