ISBN13:978-0072922318 ISBN10: 0072922311 This edition has also been released as: ISBN13: 978-0072916997 ISBN10: 0072916990
Summary: New Features
Data Analysis and Problem Solving: A renewed and expanded emphasis on analyzing authentic data through regression aids the emphasis on matheamtical modeling.
Functions: A Unified Strand The text ties together functions and modeling by introducing this connection in Chapter 1 and integrating it forward. This promotes the development of a library of functions and a toolkit for l...show moreearning algebra and foreshadows the concepts of calculus.
...show lessEdition/Copyright: 05 Cover: Hardback Publisher: McGraw-Hill Publishing Company Published: 03/12/2004 International: No
View Table of Contents
1 Functions, Graphs, and Models
1.1 Using Graphing Utilities 1.2 Functions 1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and Transformations 1.5 Operations on Functions; Composition 1.6 Inverse Functions
2 Modeling with Linear and Quadratic Functions
2.1 Linear Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4 Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional Equation-Solving Techniques 2.7 Solving Inequalities
3 Polynomial and Rational Functions
3.1 Polynomial Functions and Models 3.2 Real Zeros and Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials 3.4 Rational Functions and Inequalities
5.1 Angles and Their Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions: A Unit Circle Approach 5.4 Properties of Trigonometric Functions 5.5 More General Trigonometric Functions and Models 5.6 Inverse Trigonometric Functions
6 Trigonometric Identities and Conditional Equations
6.1 Basic Identities and Their Use 6.2 Sum, Difference, and Cofunction Identities 6.3 Double-Angle and Half-Angle Identities 6.4 Product-Sum and Sum-Product Identities 6.5 Trigonometric Equations
7 Additional Topics in Trigonometry
7.1 Law of Sines 7.2 Law of Cosines 7.3 Geometric Vectors 7.4 Algebraic Vectors 7.5 Polar Coordinates and Graphs 7.6 Complex Numbers in Rectangular and Polar Forms 7.7 De Moivres Theorem
8 Modeling with Linear Systems
8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations and Augmented Matrices 8.3 Gauss-Jordan Elimination 8.4 Systems of Linear Inequalities 8.5 Linear Programming
9 Matrices and Determinants
9.1 Matrix Operations 9.2 Inverse of a Square Matrix 9.3 Matrix Equations and Systems of Linear Equations 9.4 Determinants 9.5 Properties of Determinants 9.6 Determinants and Cramers Rule
10 Sequences, Induction, and Probability
10.1 Sequences and Series 10.2 Mathematical Induction 10.3 Arithmetic and Geometric Sequences 10.4 Multiplication Principle, Permutations, and Combinations 10.5 Sample Spaces and Probability 10.6 Binomial Formula
11 Additional Topics in Analytic Geometry
11.1 Conic Sections; Parabola 11.2 Ellipse 11.3 Hyperbola 11.4 Translation of Axes 11.5 Rotation of Axes 11.6 Nonlinear Systems
Appendix A Review of Equations and Graphing
A.1 Linear Equations and Inequalities A.2 Cartesian Coordinate System A.3 Basic Formulas in Analytic Geometry
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