| Description |
xv, 812 pages : illustrations (some color) ; 27 cm + 1 CD-ROM (4 3/4 in.) |
| Contents |
Machine derived contents note: Chapter 1 Fundamental Concepts -- The Real Number System -- Zero and Order of Operations -- Scientific Notation and Powers of 10 -- Measurement -- Operations with Measurements -- Algebraic Expressions -- Exponents and Radicals -- Multiplication of Algebraic Expressions -- Division of Algebraic Expressions -- Linear Equations -- Formulas -- Substitution of Data into Formulas -- Applications Involving Linear Equations -- Ratio and Proportion -- Variation -- Chapter Summary -- Chapter 1 Review -- Chapter 1 Special NASA Application: Spare Parts for the Space Shuttle Chapter 1 Application: Precision-Machined Computer Disks -- Chapter 2 Review of Geometry -- Angles and Lines -- Triangles -- Quadrilaterals -- Circles -- Geometric Solids: Areas and Volumes -- Chapter Summary -- Chapter 2 Review -- Chapter 2 Special NASA Application: Window to Wail Ratio -- Chapter 3 Right-Triangle Trigonometry -- The Trigonometric Ratios -- Values of the Trigonometric Ratios -- Solving Right Triangles -- Applications of the Right Triangle -- Chapter Summary -- Chapter 3 Review -- Chapter 4 Equations and Their Graphs -- Functions -- Graphing Equations -- The Straight Line -- Parallel and Perpendicular Lines -- The Distance and Midpoint Formulas -- Chapter Summary -- Chapter 4 Review -- Chapter 4 Special NASA Application: The Space Shuttle Landing, Part -- Chapter 5 Factoring and Algebraic Fractions -- Special Products -- Factoring Algebraic Expressions -- Other Forms of Factoring -- Equivalent Fractions -- Multiplication and Division of Algebraic Fractions -- Addition and Subtraction of Algebraic Fractions -- Complex Fractions -- Equations with Fractions -- Chapter Summary -- Chapter 5 Review -- Chapter 6 Systems of Linear Equations -- Solving a System of Two Linear Equations -- Other Systems of Equations -- Solving a System of Three Linear Equations -- Determinants -- Properties of Determinants -- Solving a System of Linear Equations using Determinants -- Partial Fractions -- Chapter Summary -- Chapter 6 Review -- Chapter 6 Application: KirchhofTs Laws for Electric Circuits -- Chapter 7 Quadratic Equations -- Solving Quadratic Equations by Factoring -- Solving Quadratic Equations by Completing the Square -- The Quadratic Formula -- Applications -- Chapter Summary -- Chapter 7 Review -- Chapter 8 Exponents and Radicals -- Integral Exponents -- Fractional Exponents -- Simplest Radical Form -- Addition and Subtraction of Radicals -- Multiplication and Division of Radicals -- Equations with Radicals -- Equations in Quadratic Form -- Chapter Summary -- Chapter 8 Review -- Chapter 9 Exponentials and Logarithms -- The Exponential Function -- The Logarithm -- Properties of Logarithms -- Common Logarithms -- Natural Logarithms -- Solving Exponential Equations -- Solving Logarithmic Equations -- Applications: Solving Exponential and Logarithmic Equations -- Data Along a Straight Line -- Chapter Summary -- Chapter 9 Review -- Chapter 9 Special NASA Application: The Space Shuttle Landing, Part II -- Chapter 10 Trigonometric Functions -- The Trigonometric Functions -- Trigonometric Functions of Any Angle -- Radian Measure -- Use of Radian Measure -- Chapter Summary -- Chapter 10 Review -- Chapter 11 Oblique Triangles and Vectors -- Law of Sines -- The Ambiguous Case -- Law of Cosines -- Applications of Oblique Triangles -- Addition of Vectors: Graphical Methods -- Addition of Vectors: Trigonometric Methods -- 11.7 Vector Components -- 118 Vector Applications -- Chapter Summary Chapter 11 Review -- Chapter 11 Special NASA Application: Vector Analysis of Wind Changes Affecting Shuttle Launch -- Chapter 12 Graphing the Trigonometric Functions -- Graphing the Sine and Cosine Functions -- Phase Shift -- Graphing the Other Trigonometric Functions -- Graphing Composite Curves -- Simple Harmonic Motion -- Chapter Summary -- Chapter 12 Review -- Chapter 12 Special NASA Application: Fitting a Sine Curve to Energy Use Data -- Chapter 13 Trigonometric Formulas and Identities -- Basic Trigonometric Identities -- Formulas for the Sum and the Difference of Two Angles -- Double- and Half-Angle Formulas -- Trigonometric Equations -- Inverse Trigonometric Functions -- Chapter Summary -- Chapter 13 Review -- Chapter 14 Complex Numbers -- Complex Numbers in Rectangular Form -- Trigonometric and Exponential Forms of Complex Numbers -- Multiplication and Division of Complex Numbers in Exponential and -- Trigonometric Forms -- Powers and Roots -- Chapter Summary -- Chapter 14 Review -- Chapter 15 Matrices -- Basic Operations -- Multiplication of Matrices -- Finding the Inverse of a Matrix -- Solving a System of Equations by a Matrix Method -- Chapter Summary -- Chapter 15 Review -- Chapter 15 Application: Matrices Used to Encode Information -- Chapter 16 Polynomials of Higher Degree -- Polynomial Functions -- Real Solutions of Polynomial Equations -- Complex Solutions of Polynomial Equations -- Chapter Summary -- Chapter 16 Review -- Chapter 17 Inequalities and Absolute Value -- Inequalities -- Equations and Inequalities Involving Absolute Value -- Other Types of Inequalities -- Inequalities in Two Variables -- Chapter Summary -- Chapter 17 Review -- Chapter 18 Progressions and the Binomial Theorem -- Arithmetic Progressions -- Geometric Progressions -- The Binomial Theorem -- Chapter Summary -- Chapter 18 Review -- Chapter 19 Basic Statistics -- Graphic Presentation of Data -- Measures of Central Tendency -- Measures of Dispersion -- The Normal Distribution -- Fitting Curves to Data Sets -- Statistical Process Control -- Chapter Summary -- Chapter 19 Review -- Chapter 19 Application: Statistics in the Manufacturing Process -- Chapter 20 Analytic Geometry -- The Circle -- The Parabola -- The Ellipse -- The Hyperbola -- Translation of Axes -- The General-Second Degree Equation -- Systems of Quadratic Equations -- Polar Coordinates -- 20.9 Graphs in Polar Coordinates Chapter Summary Chapter 20 Review -- Appendix A Tables -- Table 1 U.S. Weights and Measures -- Table 2 Conversion Tables -- Table 3 Physical Quantities and their Units -- Appendix B The Metric System -- B.1 Introduction -- B.2 Length -- B.3 Mass -- B.4 Volume and Area -- B.5 Temperature, Time, Current, and Power -- B.6 Other Conversions -- Appendix B Review -- Appendix C Using a Graphing Calculator -- C.1 introduction to the Keyboard of the TI-83 PLUS -- C.2 Computational Examples -- C.3 Graphing Features -- C.4 Examples of Graphing -- C.5 Trigonometric Functions and Polar Coordinates -- C.6 Equation Solving and TABLE Features -- C.7 The Numeric SOLVER -- C.8 Matrix Features -- C.9 LIST Features and Descriptive Statistics -- C.10 The Line of Best Fit (Linear Regression) -- Appendix D Using an Advanced Graphing Calculator -- D.1 Introduction to the TI-89 Keyboard -- D.2 Variables and Editing -- D.3 The Home Screens Menus -- D.4 The Keyboard Menus -- D.5 Graphing Functions -- D.6 Examples of Graphing -- D.7 Trig Functions and Polar Coordinates -- D.8 Numerical GRAPH and TABLE Features -- D.9 Sequences and Series -- D.10 The Numeric Solver -- D. 11 Matrix Features -- D.12 The Data Editor and Descriptive Statistics D.13 The Line of Best Fit (Linear Regression) D.14 Symbolic Algebra Features -- Answers to Odd-Numbered Exercises and Chapter Reviews -- Index -- Endpapers |
| Notes |
Includes index |
|
System requirements for accompanying CD-ROM: Windows 98 or higher/Macintosh |
| Subject |
Mathematics.
|
| Author |
Gary, Joan S.
|
|
Trefzger, James E.
|
| LC no. |
2004003378 |
| ISBN |
0130488100 |
|
