College algebra and trigonometry, global edition

Content: R. Review of Basic Concepts  R-1 Sets  R-2 Real Numbers and Their Properties  R-3 Polynomials  R-4 Factoring Polynomials  R-5 Rational Expressions  R-6 Rational Exponents  R-7 Radical Expressions     1. Equations and Inequalities  1-1 Linear Equations  1-2 Applications and Modeling with Linear Equations  1-3 Complex Numbers  1-4 Quadratic Equations  1-5 Applications and Modeling with Quadratic Equations  1-6 Other Types of Equations and Applications  1-7 Inequalities  1-8 Absolute Value Equations and Inequalities     2. Graphs and Functions  2-1 Rectangular Coordinates and Graphs  2-2 Circles  2-3 Functions  2-4 Linear Functions  2-5 Equations of Lines and Linear Models  2-6 Graphs of Basic Functions  2-7 Graphing Techniques  2-8 Function Operations and Composition     3. Polynomial and Rational Functions  3-1 Quadratic Functions and Models  3-2 Synthetic Division  3-3 Zeros of Polynomial Functions  3-4 Polynomial Functions: Graphs, Applications, and Models  3-5 Rational Functions: Graphs, Applications, and Models  3-6 Variation     4. Inverse, Exponential, and Logarithmic Functions  4-1 Inverse Functions  4-2 Exponential Functions  4-3 Logarithmic Functions  4-4 Evaluating Logarithms and the Change-of-Base Theorem  4-5 Exponential and Logarithmic Equations  4-6 Applications of Models of Exponential Growth and Decay     5. Trigonometric Functions  5-1 Angles  5-2 Trigonometric Functions  5-3 Trigonometric Function Values and Angle Measures  5-4 Solutions and Applications of Right Triangles     6. The Circular Functions and Their Graphs  6-1 Radian Measure  6-2 The Unit Circle and Circular Functions  6-3 Graphs of the Sine and Cosine Functions  6-4 Translations of the Graphs of the Sine and Cosine Functions  6-5 Graphs of the Tangent and Cotangent Functions  6-6 Graphs of the Secant and Cosecant Functions  6-7 Harmonic Motion     7. Trigonometric Identities and Equations  7-1 Fundamental Identities  7-2 Verifying Trigonometric Identities  7-3 Sum and Difference Identities  7-4 Double-Angle and Half-Angle Identities  7-5 Inverse Circular Functions  7-6 Trigonometric Equations  7-7 Equations Involving Inverse Trigonometric Functions     8. Applications of Trigonometry  8-1 The Law of Sines  8-2 The Law of Cosines  8-3 Geometrically Defined Vectors and Applications  8-4 Algebraically Defined Vectors and the Dot Product  8-5 Trigonometric (Polar) Form of Complex Numbers
 Products and Quotients  8-6 De Moivre's Theorem
 Powers and Roots of Complex Numbers  8-7 Polar Equations and Graphs  8-8 Parametric Equations, Graphs, and Applications     9. Systems and Matrices  9-1 Systems of Linear Equations  9-2 Matrix Solution of Linear Systems  9-3 Determinant Solution of Linear Systems  9-4 Partial Fractions  9-5 Nonlinear Systems of Equations  9-6 Systems of Inequalities and Linear Programming  9-7 Properties of Matrices  9-8 Matrix Inverses     10. Analytic Geometry  10-1 Parabolas  10-2 Ellipses  10-3 Hyperbolas  10-4 Summary of the Conic Sections     11. Further Topics in Algebra  11-1 Sequences and Series  11-2 Arithmetic Sequences and Series  11-3 Geometric Sequences and Series  11-4 The Binomial Theorem  11-5 Mathematical Induction  11-6 Counting Theory  11-7 Basics of Probability     Appendices