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.'

Chapter 1            Graphs

1.1 Rectangular Coordinates; Graphing Utilities

1.2 Graphs of Equations

1.3 Circles

1.4 Functions

1.5 The Graph of a Function

1.6 Properties of Functions; Library of Functions

1.7 Graphing Techniques: Transformations

1.8 Composite Functions

1.9 One-to-One Functions; Inverse Functions

Chapter 2            Trigonometric Functions

2.1 Angles and Their Measure

2.2 Right Triangle Trigonometry

2.3 Computing the Values of Trigonometric Functions of Acute Angles

2.4 Trigonometric Functions of General Angles

2.5 Properties of the Trigonometric Functions; The Unit Circle Approach

2.6 Graphs of the Sine and Cosine Functions

2.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

2.8 Phase Shift; Sinusoidal Curve Fitting

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Chapter 3            Analytic Trigonometry

3.1 The Inverse Sine, Cosine, and Tangent Functions

3.2 The Inverse Trigonometric Functions (continued)

3.3 Trigonometric Identities

3.4 Sum and Difference Formulas

3.5 Double-Angle and Half-Angle Formulas

3.6 Product-to-Sum and Sum-to-Product Formulas

3.7 Trigonometric Equations I

3.8 Trigonometric Equations II

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Chapter 4            Applications of Trigonometric Functions

4.1 Applications Involving Right Triangles

4.2 Law of Sines

4.3 Law of Cosines

4.4 Area of a Triangle

4.5 Simple Harmonic Motion; Damped Motion; Combining Waves

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Chapter 5            Polar Coordinates; Vectors

5.1 Polar Coordinates

5.2 Polar Equations and Graphs

5.3 The Complex Plane; DeMoivre’s Theorem

5.4 Vectors

5.5 The Dot Product

5.6 Vectors in Space

5.7 The Cross Product

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Chapter 6            Analytic Geometry

6.1 Conics

6.2 The Parabola

6.3 The Ellipse

6.4 The Hyperbola

6.5 Rotation of Axes; General Form of a Conic

6.6 Polar Equations of Conics

6.7 Plane Curves and Parametric Equations

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Chapter 7            Exponential and Logarithmic Functions

7.1 Exponential Functions

7.2 Logarithmic Functions

7.3 Properties of Logarithms

7.4 Logarithmic and Exponential Equations

7.5 Compound Interest

7.6 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay

7.7 Building Exponential, Logarithmic, and Logistic Models from Data

Chapter Review

Chapter Test

Chapter Project

Cumulative Review

Appendix         Review

A.1 Algebra Review

A.2 Geometry Review

A.3 Solving Equations Algebraically

A.4 Solving Equations Using a Graphing Utility

A.5 Complex Numbers; Quadratic Equations in the Complex Number System

A.6 Interval Notation; Solving Inequalities

A.7 nth Roots; Rational Exponents

A.8 LinesA.9 Scatter Diagrams; Linear Curve Fitting