Algebra and Trigonometry, Global Edition

Bob Blitzer is a native of Manhattan and received aBachelor of Arts degree with dual majors in mathematics and psychology (minor:English literature) from the City College of New York. His unusual combinationof academic interests led him toward a Master of Arts in mathematics from theUniversity of Miami and a doctorate in behavioral sciences from NovaUniversity. Bob's love for teaching mathematics was nourished for nearly 30years at Miami Dade College, where he received numerous teaching awards,including Innovator of the Year from the League for Innovations in theCommunity College and an endowed chair based on excellence in the classroom. Inaddition to Algebra and Trigonometry, Bob has written textbookscovering developmental mathematics, introductory algebra, intermediate algebra,trigonometry, precalculus, and liberal arts mathematics, all published byPearson. When not secluded in his Northern California writer's cabin, Bob canbe found hiking the beaches and trails of Point Reyes National Seashore andtending to the chores required by his beloved entourage of horses, chickens,and irritable roosters.

• P. Prerequisites: Fundamental Concepts of AlgebraP.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 PolynomialsP.5 Factoring PolynomialsP.6 Rational Expressions 1. Equations and Inequalities1.1 Graphs and Graphing Utilities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic Equations1.6 Other Types of Equations1.7 Linear Inequalities and Absolute Value Inequalities 2. Functions and Graphs2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs2.3 Linear Functions and Slope2.4 More on Slope2.5Transformations of Functions2.6 Combinations of Functions; Composite Functions2.7 Inverse Functions2.8 Distance and Midpoint Formulas; Circles 3. Polynomial and Rational Functions3.1 Quadratic Functions3.2 Polynomial Functions and Their Graphs3.3 Dividing Polynomials; Remainder and Factor Theorems3.4 Zeros of Polynomial Functions3.5 Rational Functions and Their Graphs3.6 Polynomial and Rational Inequalities3.7 Modeling Using Variation 4. Exponential and Logarithmic Functions4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of Logarithms4.4 Exponential and Logarithmic Equations4.5 Exponential Growth and Decay; Modeling Data 5. Trigonometric Functions5.1 Angles and Radian Measure5.2 Right Triangle Trigonometry5.3 Trigonometric Functions of Any Angle5.4 Trigonometric Functions of Real Numbers; Periodic Functions5.5 Graphs of Sine and Cosine Functions5.6 Graphs of Other Trigonometric Functions5.7 Inverse Trigonometric Functions5.8 Applications of Trigonometric Functions 6. Analytic Trigonometry6.1 Verifying Trigonometric Identities6.2 Sum and Difference Formulas6.3Double-Angle, Power-Reducing, and Half-Angle Formulas6.4 Product-to-Sumand Sum-to-Product Formulas6.5 Trigonometric Equations 7. Additional Topics in Trigonometry7.1 The Law of Sines7.2 The Law of Cosines7.3 Polar Coordinates7.4 Graphs of Polar Equations7.5 Complex Numbers in Polar Form; De Moivre's Theorem7.6 Vectors7.7 The Dot Product 8. Systems of Equations and Inequalities8.1 Systems of Linear Equations in Two Variables8.2 Systems of Linear Equations in Three Variables8.3 Partial Fractions8.4 Systems of Nonlinear Equations in Two Variables8.5 Systems of Inequalities8.6 Linear Programming 9. Matrices and Determinants9.1 Matrix Solutions to Linear Systems9.2 Inconsistent and Dependent Systems and Their Applications9.3 Matrix Operations and Their Applications9.4 Multiplicative Inverses of Matrices and Matrix Equations9.5 Determinants and Cramer's Rule 10. Conic Sections and Analytic Geometry10.1 The Ellipse10.2 The Hyperbola10.3 The Parabola10.4 Rotation of Axes10.5 Parametric Equations10.6 Conic Sections in Polar Coordinates 11. Sequences, Induction, and Probability11.1 Sequences and Summation Notation11.2 Arithmetic Sequences11.3 Geometric Sequences and Series11.4 Mathematical Induction11.5 The Binomial Theorem11.6 Counting Principles, Permutations, and Combinations11.7 Probability