Cover image for Algebra & trigonometry : enhanced with graphing utilities
Title:
Algebra & trigonometry : enhanced with graphing utilities
Personal Author:
Edition:
4th ed.
Publication Information:
Upper Saddle River, N.J. : Pearson Prentice Hall, 2006
ISBN:
9780131527393

Available:*

Library
Item Barcode
Call Number
Material Type
Item Category 1
Status
Searching...
30000010078748 QA154.3 S75 2006 Unknown 1:CHECKING
Searching...

On Order

Summary

Summary

Emphasizing the fundamentals of Maths, this book helps students prepare to handle the algebra found in courses such as finite mathematics, business mathematics, and engineering calculus.


Author Notes

Mike Sullivan Professor of Mathematics at Chicago State University received a Ph.D. in mathematics from Illinois Institute of Technology. Mike has taught at Chicago State for over 30 years. He is a native of Chicago's South Side and currently resides in Oaklawn. Mike has four children. The two oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. Mike III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Dan, the youngest, sells for Prentice Hall as a generalist.

Mike has authored or co-authored over ten books. He owns a travel agency, and splits his time between a condo in Naples, Florida and a home in Oaklawn, where Mike enjoys gardening. Mike first signed this series with Deleen Publishing (Acquired by Macmillan) in 1985.

Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from Depot University in both mathematics and economics. Mike has co-authored both of the Sullivan graphing series and collaborated with his sister to author supplements for all of the Sullivan series. Mike has recently authored a brand new successful Statistics book for Prentice Hall Fundamentals of Statistics, 1/e 2005 and Statistics: Informed Decisions Using Data, 1/e, 2004. Mike is currently working on a developmental math series for Prentice Hall that will be published in 2007. Mike is the father of three children. He is an avid golfer and tries to spend as much of his limited free time as possible on the golf course.

Why We Wrote the Book:

Work on this series began with a unique perspective. Teaching at a large urban institution and a smaller two-year college has allowed us to see firsthand the challenges associated with teaching students with diverse backgrounds in an urban setting. Successful textbooks must be accessible to students. As lead author of this series, one of the most important things I bring to the project is my experience as author of a successful calculus text. Mike and I are both aware that students must be prepared in a Precalculus course for subsequent mathematics courses. We also realize that many College Algebra students will not be going on to take upper level math courses. In this series we resolved the seeming dilemma without sacrificing accessibility.

The books in this series are designed to be mathematically comprehensive and to provide substantial mathematical preparation for subsequent courses. At the same time, great effort has been expended to motivate the material and to make it accessible to even poorly prepared students.


Table of Contents

Chapter
R Review
R.1 Real Numbers
R.2 Algebra Review
R.3 Geometry Review
R.4 Polynomials
R.5 Factoring Polynomials
R.6 Synthetic Division
R.7 Rational Expressions
R.8 nth Roots; Rational Exponents
Chapter 1
1.1 Rectangular Coordinates; Graphing Utilities; Introduction to Graphing Equations
1.2 Solving Equations Using Graphing Utility; Linear and Rational Equations
1.3 Solving Quadratic Equations
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
1.7 Solving Inequalities
1.8 Lines
1.9 Circles Chapter Review Chapter Test Chapter Project
Chapter 2 Functions and Their Graphs
2.1 Intercepts and Symmetry; Graphing Key Equations
2.2 Functions
2.3 The Graph of a Function
2.4 Properties of Functions
2.5 Linear Functions and Models
2.6 Library of Functions; Piecewise-Defined Functions
2.7 Graphing Techniques: Transformations
2.8 Mathematical Models: Constructing Functions Chapter Review Chapter Test Chapter Project Cumulative Review
Chapter 3 Polynomial and Rational Functions
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Models
3.3 Properties of Rational Functions
3.4 The Graph of a Rational Function; Inverse and Joint Variation
3.5 Polynomial and Rational Inequalities
3.6 The Real Zeros of a Polynomial Function
3.7 Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Chapter Project Cumulative Review
Chapter 4 Exponential and Logarithmic Functions
4.1 Composite Functions
4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations
4.7 Compound Interest
4.8 Exponential Growth and Decay; Newtonrsquo;s Law; Logistic Growth and Decay
4.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter Review Chapter Test Chapter Project Cumulative Review
Chapter 5 Systems of Equations and Inequalities
5.1 Systems of Linear Equations: Substitution and Elimination
5.2 Systems of Linear Equations: Matrices
5.3 Systems of Linear Equations: Determinants
5.4 Matrix Algebra
5.5 Partial Fraction Decomposition
5.6 Systems of Linear Inequalities
5.7 Linear Programming Chapter Review Chapter Test Chapter Project Cumulative Review
Chapter 6 Trigonometric Functions
6.1 Angles and Their Measure
6.2 Right Triangle Trigonometry
6.3 Computing the Values of Trigonometric Functions of Acute Angles
6.4 Trigonometric Functions of General Angles
6.5 Properties of the Trigonometric Functions; The Unit Circle Approach
6.6 Graphs of the Sine and Cosine Functions
6.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.8 Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Chapter Project Cumulative Review