ISBN13:978-0073312644 ISBN10: 0073312649 This edition has also been released as: ISBN13: 978-0072867404 ISBN10: 007286740X
Summary: New Features
Mathematical Modeling and Data Analysis: A focus on mathematical modeling and data analysis, specifically establishing a step by step process for understanding word problems and gathering the data from said problems.
Objective Based Learning: Introductory section objectives have been expanded to include the "what and why" of the objectives, followed by icons within the text iden...show moretifying the specific areas of focus. A summary of chapter objectives will now be featured in the chapter summary material.
Graphical Interpretation: Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models. Throughout both examples and exercises, this feature focuses on the importance of learning to read and extract data from a given graph. This is developed by first presenting a graph and using a problem solving approach to read said graph. This focus aids in conceptualizing functions and building mathematical models.
R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations Chapter R Review Chapter R Group Activity: Rational Number Representations
Chapter 1: Equations and Inequalities
1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals Chapter 1 Review Chapter 1 Group Activity: Solving a Cubic Equation
Chapter 2: Graphs
2-1 Cartesian Coordinate system 2-2 Distance in the Plane 2-3 Equations of a line 2-4 Linear Equations and Models Chapter 2 Review Chapter 2 Group Activity: Rates of Change
Chapter 3: Functions
3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions Chapter 3 Review Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan Chapters 1-3 Cumulative Review Exercises
Chapter 4: Polynomials and Rational Functions
4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling Chapter 4 Review Chapter 4 Group Activity: Interpolating Polynomials
6-1 Angles and Their Measure 6-2 Right-Triangle Trigonometry 6-3 Trigonometric Functions: A Unit Circle Approach 6-4 Trigonometric Functions: Properties and Graphs 6-5 More General Trigonometric Functions 6-6 Inverse Trigonometric Functions Chapter 6 Review Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer
Chapter 7: Trigonometric Identities and Conditional Equations
7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations Chapter 7 Review Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool
Chapter 8: Additional Topics in Trigonometry
8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre's Theorem Chapter 8 Review Chapter 8 Group Activity: Conic Sections and Planetary Orbits Chapters 6-8 Cumulative Review Exercises
Chapter 10: Systems of Equations and Inequalities; Matrices
10-1 Systems of Linear Equations: Graphing and Substitution 10-2 Systems of Linear Equations: Elimination 10-3 Systems of Linear Equations: Gauss-Jordan Elimination 10-4 Matrices: Basic Operations 10-5 Systems of Linear Equations: Matrix Inverse Methods 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities in Two Variables 10-8 Linear Programming Chapter 10 Review Chapter 10 Group Activity: Modeling With Systems of Linear Equations
Chapter 11: Sequences and Series
11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula Chapter 11 Review Chapter 11 Group Activity: Sequences Specified by Recursion Formulas Chapters 9-11 Cumulative Review Exercises
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