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Bob Blitzer has inspired thousands of students with his engaging approach to mathematics, making this beloved series the #1 in the market. Blitzer draws on his unique background in mathematics and behavioral science to present the full scope of mathematics with vivid applications in real-life situations. Students stay engaged because Blitzer often uses pop-culture and up-to-date references to connect math to students' lives, showing that their world is profoundly mathematical.
With the Fifth Edition, Blitzer takes student engagement to a whole new level. In addition to the multitude of exciting updates to the text and MyMathLab (R) course, new application-based MathTalk videos allow students to think about and understand the mathematical world in a fun, yet practical way. Assessment exercises allow instructors to assign the videos and check for understanding of the mathematical concepts presented.
P. Prerequisite P Prerequisites: Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real Numbers P.2 Exponents and Scientific Notation P.3 Radicals and Rational Exponents P.4 Polynomials P.5 Factoring Polynomials P.6 Rational Expressions 1. Functions and Graphs 1.1 Graphs and Graphing Utilities 1.2 Basics of Functions and Their Graphs 1.3 More on Functions and Their Graphs 1.4 Linear Functions and Slope 1.5 More on Slope 1.6 Transformations of Functions 1.7 Combinations of Functions; Composite Functions 1.8 Inverse Functions 1.9 Distance and Midpoint Formulas; Circles 2. Polynomial and Rational Functions 2.1 Complex Numbers 2.2 Quadratic Functions 2.3 Polynomial Functions and Their Graphs 2.4 Dividing Polynomials; Remainder and Factor Theorems 2.5 Zeros of Polynomial Functions 2.6 Rational Functions and Their Graphs 2.7 Polynomial and Rational Inequalities 2.8 Modeling Using Variation 3. Exponential and Logarithmic Functions 3.1 Exponential Functions 3.2 Logarithmic Functions 3.3 Properties of Logarithms 3.4 Exponential and Logarithmic Equations 3.5 Exponential Growth and Decay; Modeling Data 4. Trigonometric Functions 4.1 Angles and Radian Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs of Sine and Cosine Functions 4.6 Graphs of Other Trigonometric Functions 4.7 Inverse Trigonometric Functions 4.8 Applications of Trigonometric Functions 5. Analytic Trigonometry 5.1 Verifying Trigonometric Identities 5.2 Sum and Difference Formulas 5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas 5.4 Product-to-Sum and Sum-to-Product Formulas 5.5 Trigonometric Equations 6. Additional Topics in Trigonometry 6.1 The Law of Sines 6.2 The Law of Cosines 6.3 Polar Coordinates 6.4 Graphs of Polar Equations 6.5 Complex Numbers in Polar Form; DeMoivre's Theorem 6.6 Vectors 6.7 The Dot Product 7. Systems of Equations and Inequalities 7.1 Systems of Linear Equations in Two Variables 7.2 Systems of Linear Equations in Three Variables 7.3 Partial Fractions 7.4 Systems of Nonlinear Equations in Two Variables 7.5 Systems of Inequalities 7.6 Linear Programming 8. Matrices and Determinants 8.1 Matrix Solutions to Linear Systems 8.2 Inconsistent and Dependent Systems and Their Applications 8.3 Matrix Operations and Their Applications 8.4 Multiplicative Inverses of Matrices and Matrix Equations 8.5 Determinants and Cramer's Rule 9. Conic Sections and Analytic Geometry 9.1 The Ellipse 9.2 The Hyperbola 9.3 The Parabola 9.4 Rotation of Axes 9.5 Parametric Equations 9.6 Conic Sections in Polar Coordinates 10. Sequences, Induction, and Probability 10.1 Sequences and Summation Notation 10.2 Arithmetic Sequences 10.3 Geometric Sequences and Series 10.4 Mathematical Induction 10.5 The Binomial Theorem 10.6 Counting Principles, Permutations, and Combinations 10.7 Probability