## Details

The 3^{rd} edition of Cynthia Young's College Algebra brings together all the elements that have allowed instructors and learners to successfully "bridge the gap" between classroom instruction and independent homework by overcoming common learning barriers and building confidence in students' ability to do mathematics. Written in a clear, voice that speaks to students and mirrors how instructors communicate in lecture, Young's hallmark pedagogy enables students to become independent, successful learners. Varied exercise types and modeling projects keep the learning fresh and motivating.

0 Prerequisites and Review

0.1 Real Numbers

0.2 Integer Exponents and Scientific Notation

0.3 Polynomials: Basic Operations

0.4 Factoring Polynomials

0.5 Rational Expressions

0.6 Rational Exponents and Radicals

0.7 Complex Numbers

1 Equations and Inequalities

1.1 Linear Equations

1.2 Applications Involving Linear Equations

1.3 Quadratic Equations

1.4 Other Types of Equations

1.5 Linear Inequalities

1.6 Polynomial and Rational Inequalities

1.7 Absolute Value Equations and Inequalities

2 Graphs

2.1 Basic Tools: Cartesian Plane, Distance and Midpoint

2.2 Graphing Equations: Point-Plotting, Intercepts and Symmetry

2.3 Lines

2.4 Circles

2.5 Linear Regression: Best Fit

3 Functions and Their Graphs

3.1 Functions

3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change

3.3 Graphing Techniques: Transformations

3.4 Operations on Functions and Composition of Functions

3.5 One-to-One Functions and Inverse Functions

3.6 Modeling Functions Using Variation

4 Polynomial and Rational Functions

4.1 Quadratic Functions

4.2 Polynomial Functions of Higher Degree

4.3 Dividing Polynomials: Long Division and Synthetic Division

4.4 The Real Zeros of a Polynomial Function

4.5 Complex Zeros: The Fundamental Theorem of Algebra

4.6 Rational Functions

5 Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

6 Systems of Linear Equations and Inequalities

6.1 Systems of Linear Equations in Two Variables

6.2 Systems of Linear Equations in Three Variables

6.3 Partial Fractions

6.4 Systems of Linear Inequalities in Two Variables

6.5 The Linear Programming model

7 Matrices

7.1 Matrices and Systems of Linear Equations

7.2 Matrix Algebra

7.3 Matrix Equations; The Inverse of a Square Matrix

7.4 The Determinant of a Square Matrix and Cramers Rule

8 Conics and Systems of Nonlinear Equations and Inequalities

8.1 Conic Basics

8.2 The Parabola

8.3 The Ellipse

8.4 The Hyperbola

8.5 Systems of Nonlinear Equations

8.6 Systems of Nonlinear Inequalities

9 Sequences, Series, and Probability

9.1 Sequences and Series

9.2 Arithmetic Sequences and Series

9.3 Geometric Sequences and Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

9.6 Counting, Permutations and Combinations

9.7 Probability

Inquiry-Based Learning Project

Modeling Our World

Review

Review Exercises

Practice Test

Cumulative Test

Answers to Odd Numbered Exercises

Applications Index

Subject Index

College Algebra

Cynthia Young is already a tenured professor at UCF and is very actively involved in the supervision of UCF's graduate and undergraduate research assistants. Before becoming an award-winning Associate Professor at UCF, Cynthia taught High School. Cynthia received numerous grants and was named the principal investigator on six military and academic research projects. She has been an administrator / advisor to the Florida Space Institute at the Kennedy Space Center since 1998. Cynthia is a veteran presenter at conferences and conventions and has published over a dozen journal articles.