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Advanced Mathematics Concepts : Precalculus With Application - 01 edition

ISBN13: 978-0028341750
ISBN10: 0028341759

Summary: AdvancedMathematical Concepts: Precalculus with Applications, ©2001 Table ofContents UNIT 1   RELATIONS, FUNCTIONS, ANDGRAPHS CHAPTER 1   LINEAR RELATIONS AND FUNCTIONS1-1                   Relations and Functions (old 1-1)1-2                   Composition ofFunctions (part of old 1-2)1-3                   Graphing LinearEquations (part of old 1-3, slope, intercepts)1-3B     Analyzing Families of Linear Graphs1-4                   Writing LinearEquations (old 1-5)1-5                   Writing Equations of Parallel and PerpendicularLines (old 1-6)1-6                   Modeling Real-WorldData with Linear Functions (parts of old 15-6)1-7                   Piecewise and AbsoluteValue Functions (NEW)1-8                   Graphing LinearInequalities (old 1-3) CHAPTER 2   SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES2-1                   Solving Systems of Equations in Two Variables (old2-1)2-2                   Solving Systems of Equations in Three Variables(NEW)2-3                   Using Matrices to Model Real-World Data  (old 2-2)2-4A     Transformation matrices2-4                   Modeling Motion with Matrices  (NEW)2-5                   Determinants and Multiplicative Inverses ofMatrices  (old 2-3)2-5B     Augmented Matrices and Reduced Row-Echelon Form2-6                   Solving Systems of Inequalities  (old 2-5)2-7                   Linear Programming (old 2-6) chapter3   The nature of Graphs3-1                   Symmetry andCoordinate Graphs  (old 3-1)3-2                   Families of Graphs(old 3-2)3-3                   Graphs of NonlinearInequalities  (old 3-5)3-4                   Inverse Functions andRelations  (old 3-3)3-5                   Continuity and End Behavior (old 3-8)3-5B     Gap Discontinuities (NEW)3-6                   Critical Points andExtrema  (old 3-7)3-7                   Graphs of RationalFunctions (old 3-4)3-8                   Direct, Indirect, and Joint Variation (NEW) CHAPTER 4   POLYNOMIAL AND RATIONAL FUNCTIONS4-1                   Polynomial Functions  (old 4-1)4-2                   Quadratic Equations (old 4-2)4-3                   The Remainder and Factor Theorems  (old 4-3)4-4                   The Rational Root Theorem  (old 4-4)4-5                   Locating Zeros of a Polynomial Function  (old 4-5)4-6                   Rational Equations and Partial Fractions  (old 4-6)4-7                   Radical Equations and Inequalities  (old 4-7)4-8                   Modeling Real-World Data with Polynomial Functions(NEW)4-8B     Fitting a Polynomial Function to a Set of Points  (NEW)   UNIT 2                        TRIGONOMETRY CHAPTER 5   THE TRIGONOMETRIC FUNCTIONS5-1                   Angles and Degree Measure  (old 5-1)5-2                   Trigonometric Ratios in Right Triangles (parts ofold 5-4, 5-5)5-3                   Trigonometric Functions on the Unit Circle  (old 5-3, 5-4)5-4                   Applying Trigonometric Functions (part of old 5-5)5-5                   Solving Right Triangles (parts of old 5-5, 6-4)5-6                   The Law of Sines (old 5-6, 5-8)5-7                   The Ambiguous Case for the Law of Sines (part of old5-6)5-8                   The Law of Cosines (old 5-7, 5-8)5-8B     Solving Triangles CHAPTER 6 GRAPHS OF THETRIGONOMETRIC FUNCTIONS6-1                   Angles and Radian Measure  (old 5-2)6-2                   Linear and Angular Velocity (old 5-2)6-3                   Graphing Sine and Cosine Functions   (old 6-1)6-4                   Amplitude and Period of Sine and Cosine Functions  (old 6-2)6-5                   Translations of Sine and Cosine Functions (old 6-2,6-3)6-6                   Modeling Real-World Data with Sinusoidal Functions(NEW)6-7                   Graphing Other Trigonometric Functions  (remnants from Ch. 6)6-7B     Graphing Calculator Exploration Sound Beats6-8                   Trigonometric Inverses and Their Graphs (6-4, 6-6) CHAPTER 7   TRIGONOMETRIC IDENTITIES AND EQUATIONS7-1                   Basic Trigonometric Identities  (old 7-1)7-2                   Verifying Trigonometric Identities  (old 7-2)7-3                   Sum and Difference Identities  (old 7-3)7-3B     Reduction Identities (NEW)7-4                   Double-Angle and Half-Angle Identities  (old 7-4)7-5                   Solving Trigonometric Equations  (old 7-5)7-6                   Normal Form of a Linear Equation  (old 7-6)7-7                   Distance from a Point to a Line  (old 7-7) CHAPTER 8   VECTORS AND PARAMETRIC EQUATIONS8-1                   Geometric Vectors (old 8-1)8-2                   Algebraic Vectors (old 8-2)8-3                   Vectors in Three-Dimensional Space  (old 8-3)8-4                   Perpendicular Vectors  (old 8-4)8-4B     Finding Cross Products (new)8-5                   Applications with Vectors  (old 8-5)8-6                   Vectors and Parametric Equations  (old 8-6)8-6B     Modeling With Parametric Equations  (new)8-7                   Using Parametric Equations to Model Motion  (old 8-7)8-8                   Transformational Matrices in Three-Dimensional Space(new) UNIT 3                        ADVANCED FUNCTIONS ANDGRAPHING CHAPTER 9   POLAR COORDINATES AND COMPLEX NUMBERS ...show less

Cover: Hardcover
Publisher: Glencoe Publishing Co.
Published: 05/26/2000
International: No

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