College Algebra: Concepts and Models
Note: Each chapter includes a Mid-Chapter Quiz, Summary, Review Exercises, and Chapter Test. R1. Fundamental Concepts of Algebra R1.1 Real Numbers: Order and Absolute Value R1.2 The Basic Rules of Algebra R1.3 Integer Exponents R1.4 Radicals and Rational Exponents R1.5 Polynomials and Special Products R1.6 Factoring R1.7 Fractional Expressions Make a Decision Project: Musical Notes and Frequencies R2. Equations and Inequalities R2.1 Linear Equations R2.2 Mathematical Modeling R2.3 Quadratic Equations R2.4 The Quadratic Formula R2.5 Other Types of Equations R2.6 Linear Inequalities R2.7 Other Types of Inequalities Make a Decision Project: Salaries in Professional Baseball Cumulative Test: Chapters R1-R2 1. Functions and Graphs 1.1 Graphs of Equations 1.2 Lines in the Plane 1.3 Linear Modeling and Direct Variation 1.4 Functions 1.5 Graphs of Functions 1.6 Transformations of Functions 1.7 The Algebra of Functions 1.8 Inverse Functions Make a Decision Project: Demographics 2. Polynomial and Rational Functions 2.1 Quadratic Functions and Models 2.2 Polynomial Functions of Higher Degree 2.3 Polynomial Division 2.4 Real Zeros of Polynomial Functions 2.5 Complex Numbers 2.6 The Fundamental Theorem of Algebra 2.7 Rational Functions Make a Decision Project: Renewable Energy 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Properties of Logarithms 3.4 Solving Exponential and Logarithmic Equations 3.5 Exponential and Logarithmic Models Make a Decision Project: Newton's Law of Cooling Cumulative Test: Chapters 1-3 4. Systems of Equations and Inequalities 4.1 Solving Linear Systems Using Substitution 4.2 Solving Linear Systems Using Elimination 4.3 Linear Systems in Three or More Variables 4.4 Systems of Inequalities 4.5 Linear Programming Make a Decision Project: Newspapers 5. Matrices and Determinants 5.1 Matrices and Linear Systems 5.2 Operations with Matrices 5.3 The Inverse of a Square Matrix 5.4 The Determinant of a Square Matrix 5.5 Applications of Matrices and Determinants Make a Decision Project: Market Share 6. Sequences, Series, and Probability 6.1 Sequences and Summation Notation 6.2 Arithmetic Sequences and Partial Sums 6.3 Geometric Sequences and Series 6.4 The Binomial Theorem 6.5 Counting Principles 6.6 Probability 6.7 Mathematical Induction Make a Decision Project: The Multiplier Effect Cumulative Test: Chapters 4-6 Appendices A. An Introduction to Graphing Utilities B. Conic Sections B.1 Conic Sections B.2 Conic Sections and Translations C. Further Concepts in Statistics (Available on the web/CD only) C.1 Data and Linear Modeling C.2 Measures of Central Tendency and Dispersion