College Algebra

College Algebra

Online notes for Algebra course that author teaches at Lamar University.

Tag(s): Algebra

Publication date: 01 Jan 2007

ISBN-10: n/a

ISBN-13: n/a

Paperback: 355 pages

Views: 2,510

Type: Lecture Notes

Publisher: n/a

License: n/a

Post time: 06 Oct 2016 11:30:00

College Algebra

College Algebra Online notes for Algebra course that author teaches at Lamar University.
Tag(s): Algebra
Publication date: 01 Jan 2007
ISBN-10: n/a
ISBN-13: n/a
Paperback: 355 pages
Views: 2,510
Document Type: Lecture Notes
Publisher: n/a
License: n/a
Post time: 06 Oct 2016 11:30:00
More Resources:

From the Preface:
Paul Dawkins wrote: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 had 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.

Notes Outline:

Preliminaries

  • Integer Exponents 
  • Rational Exponents 
  • Radicals 
  • Polynomials 
  • Factoring Polynomials 
  • Rational Expressions 
  • Complex Numbers 

Solving Equations and Inequalities

  • Solutions and Solution Sets 
  • Linear Equations 
  • Applications of Linear Equations 
  • Equations With More Than One Variable 
  • Quadratic Equations, Part I 
  • Quadratic Equations, Part II 
  • Quadratic Equations : A Summary 
  • Applications of Quadratic Equations 
  • Equations Reducible to Quadratic Form 
  • Equations with Radicals 
  • Linear Inequalities 
  • Polynomial Inequalities 
  • Rational Inequalities 
  • Absolute Value Equations 
  • Absolute Value Inequalities 

Graphing and Functions

  • Graphing 
  • Lines 
  • Circles 
  • The Definition of a Function 
  • Graphing Functions 
  • Combining functions 
  • Inverse Functions 

Common Graphs

  • Lines, Circles and Piecewise Functions 
  • Parabolas 
  • Ellipses 
  • Hyperbolas 
  • Miscellaneous Functions 
  • Transformations 
  • Symmetry 
  • Rational Functions 

Polynomial Functions

  • Dividing Polynomials 
  • Zeroes/Roots of Polynomials 
  • Graphing Polynomials 
  • Finding Zeroes of Polynomials 
  • Partial Fractions 

Exponential and Logarithm Functions

  • Exponential Functions 
  • Logarithm Functions 
  • Solving Exponential Equations 
  • Solving Logarithm Equations 
  • Applications 

Systems of Equations

  • Linear Systems with Two Variables 
  • Linear Systems with Three Variables 
  • Augmented Matrices 
  • More on the Augmented Matrix 
  • Nonlinear Systems 




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