
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 ...show more 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
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