College Algebra (2007)(en)(350s)

Dawkins P.

Here are my online notes for my Algebra course that I teach here at Lamar University, although I have to admit that it’s been years since I last taught this course. At this point in my career I mostly teach Calculus and Differential Equations.Despite the fact that these are my “class notes” they should be accessible to anyone wanting to learn Algebra or needing a refresher for algebra. I’ve tried to make the notes as self contained as possible and do not reference any book. However, they do assume that you’ve has some exposure to the basics of algebra at some point prior to this. While there is some review of exponents, factoring and graphing it is assumed that not a lot of review will be needed to remind you how these topics work.Here are a couple of warnings to my students who may be here to get a copy of what happened on a day that you missed.

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Table of contents :
Preface……Page 4
Outline……Page 5
Introduction……Page 8
Integer Exponents……Page 9
Rational Exponents……Page 16
Real Exponents……Page 22
Radicals……Page 23
Polynomials……Page 32
Factoring Polynomials……Page 38
Rational Expressions……Page 48
Complex Numbers……Page 59
Introduction……Page 65
Solutions and Solution Sets……Page 66
Linear Equations……Page 70
Application of Linear Equations……Page 78
Equations With More Than One Variable……Page 88
Quadratic Equations – Part I……Page 92
Quadratic Equations – Part II……Page 100
Solving Quadratic Equations : A Summary……Page 111
Application of Quadratic Equations……Page 114
Equations Reducible to Quadratic Form……Page 118
Equations with Radicals……Page 123
Linear Inequalities……Page 129
Polynomial Inequalities……Page 136
Rational Inequalities……Page 142
Absolute Value Equations……Page 147
Absolute Value Inequalities……Page 154
Introduction……Page 159
Graphing……Page 160
Lines……Page 166
Circles……Page 176
The Definition of a Function……Page 182
Graphing Functions……Page 193
Combining Functions……Page 197
Inverse Functions……Page 204
Introduction……Page 211
Lines, Circles and Piecewise Functions……Page 212
Parabolas……Page 213
Ellipses……Page 223
Hyperbolas……Page 227
Miscellaneous Functions……Page 231
Transformations……Page 234
Symmetry……Page 240
Rational Functions……Page 245
Introduction……Page 251
Dividing Polynomials……Page 252
Zeroes/Roots of Polynomials……Page 257
Graphing Polynomials……Page 262
Finding Zeroes of Polynomials……Page 270
Partial Fractions……Page 278
Introduction……Page 286
Exponential Functions……Page 287
Logarithm Functions……Page 292
Solving Exponential Equations……Page 302
Solving Logarithm Equations……Page 309
Applications……Page 315
Introduction……Page 322
Linear Systems with Two Variables……Page 323
Linear Systems with Three Variables……Page 331
Augmented Matrices……Page 333
More on the Augmented Matrix……Page 342
Non-Linear Systems……Page 348