Includes index.

Chapter 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 -- Review -- Review exercises -- Practice test -- Chapter 1: Equations and inequalitites -- 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 -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 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 -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 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 -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 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 functions -- 4.5 Complex zeros: The fundamental theorem of algebra -- 4.6 Rational functions -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 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 -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 6: Trigonometric functions -- 6.1 Angles, degrees, and triangles -- 6.2 Definition 1 of trigonometric functions: Right triangle ratios -- 6.3 Applications of right triangle trigonometry: Solving right triangles -- 6.4 Definition 2 of trigonometric functions: Cartesian plane -- 6.5 Trigonometric functions of nonacute angles -- 6.6 Radian measure and applications -- 6.7 Definition 3 of trigonometric functions: Unit circle approach -- 6.8 Graphs of sine and cosine functions -- 6.9 Graphs of other trigonometric functions -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 7: Analytic trigonometry -- 7.1 Basic trigonometric identities -- 7.2 Verifying trigonometric identities -- 7.3 Sum and difference identities -- 7.4 Double-angle identities -- 7.5 Half-angle identities -- 7.6 Product-to-sum and sum-to-product identities -- 7.7 Inverse trigonometric functions -- 7.8 Trigonometric equations -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 8: Additional topics in trigonometry -- 8.1 Oblique triangles and the law of sines -- 8.2 The law of cosines -- 8.3 The area of a triangle -- 8.4 Vectors -- 8.5 The dot product -- 8.6 Polar (Trigonometric) form of complex numbers -- 8.7 Products, quotients, powers, and roots of complex numbers -- 8.8 Polar equations and graphs -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 9: Systems of linear equations and inequalities -- 9.1 Systems of linear equations in two variables -- 9.2 Systems of linear equations in three variables -- 9.3 Partial fractions -- 9.4 Systems of linear inequalities in two variables -- 9.5 The linear programming model -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 10: Matrices -- 10.1 Matrices and systems of linear equations -- 10.2 Matrix algebra -- 10.3 Matrix equations; the inverse of a square matrix 10.4 The determinant of a square matrix and Cramer's rule -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 11: Analytic geometry and systems of nonlinear equations and inequalities -- 1.1 Conic basics -- 11.2 The parabola -- 11.3 The ellipse -- 11.4 The hyperbola -- 11.5 Systems of nonlinear equations -- 11.6 Systems of nonlinear inequalitites -- 11.7 Rotation of axes -- 11.8 Polar equations of conics -- 11.9 Parametric equations and graphs -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Chapter 12: Sequences, series, and probability -- 12.1 Sequences and series -- 12.2 Arithmetic sequences and series -- 12.3 Geometric sequences and series -- 12.4 Mathematical induction -- 12.5 The binomial theorem -- 12.6 Counting, permutations, and combinations -- 12.7 Probability -- Modeling your world -- Review -- Review exercises -- Practice test -- Cumulative test -- Answers to odd numbered exercises -- Applications index -- Subject index.