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Category : Higher Education
Chapter 1 Graphs 1.1 Rectangular Coordinates; Graphing Utilities 1.2 Graphs of Equations 1.3 Solving Equations Using a Graphing Utility 1.4 Lines 1.5 Circles Chapter Review Chapter Test Chapter Project Chapter 2 Functions and Their Graphs 2.1 Functions 2.2 The Graph of a Function 2.3 Properties of Functions 2.4 Linear Functions and Models 2.5 Library of Functions; Piecewise-Defined Functions 2.6 Graphing Techniques: Transformations 2.7 Mathematical Models: Constructing Functions Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 3 Polynomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Polynomial Functions and Models 3.3 Properties of Rational Functions 3.4 The Graph of a Rational Function; Inverse and Joint Variation 3.5 Polynomial and Rational Inequalities 3.6 The Real Zeros of a Polynomial Function 3.7 Complex Zeros: Fundamental Theorem of Algebra Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 4 Exponential and Logarithmic Functions 4.1 Composite Functions 4.2 One-to-One Functions; Inverse Functions 4.3 Exponential Functions 4.4 Logarithmic Functions 4.5 Properties of Logarithms 4.6 Logarithmic and Exponential Equations 4.7 Compound Interest 4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay 4.9 Building Exponential, Logarithmic, and Logistic Models from Data Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 5 Trigonometric Functions 5.1 Angles and Their Measure 5.2 Trigonometric Functions: Unit Circle Approach 5.3 Properties of the Trigonometric Functions 5.4 Graphs of the Sine and Cosine Functions 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions 5.6 Phase Shift; Sinusoidal Curve Fitting Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 6 Analytic Trigonometry 6.1 The Inverse Sine, Cosine, and Tangent Functions 6.2 The Inverse Trigonometric Functions (continued) 6.3 Trigonometric Identities 6.4 Sum and Difference Formulas 6.5 Double-Angle and Half-Angle Formulas 6.6 Product-to-Sum and Sum-to-Product Formulas 6.7 Trigonometric Equations I 6.8 Trigonometric Equations II Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 7 Applications of Trigonometric Functions 7.1 Right Triangle Trigonometry; Solving Right Triangles 7.2 Law of Sines 7.3 Law of Cosines 7.4 Area of a Triangle 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 8 Polar Coordinates; Vectors 8.1 Polar Coordinates 8.2 Polar Equations and Graphs 8.3 The Complex Plane; DeMoivre’s Theorem 8.4 Vectors 8.5 The Dot Product 8.6 Vectors in Space 8.7 The Cross Product Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 9 Analytic Geometry 9.1 Conics 9.2 The Parabola 9.3 The Ellipse 9.4 The Hyperbola 9.5 Rotation of Axes; General Form of a Conic 9.6 Polar Equations of Conics 9.7 Plane Curves and Parametric Equations Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 10 Systems of Equations and Inequalities 10.1 Systems of Linear Equations: Substitution and Elimination 10.2 Systems of Linear Equations: Matrices 10.3 Systems of Linear Equations: Determinants 10.4 Matrix Algebra 10.5 Partial Fraction Decomposition 10.6 Systems of Nonlinear Equations 10.7 Systems of Inequalities 10.8 Linear Programming Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 11 Sequences; Induction; The Binomial Theorem 11.1 Sequences 11.2 Arithmetic Sequences 11.3 Geometric Sequences; Geometric Series 11.4 Mathematical Induction 11.5 The Binomial Theorem Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 12 Counting and Probability 12.1 Sets and Counting 12.2 Permutations and Combinations 12.3 Probability Chapter Review Chapter Test Chapter Project Cumulative Review Chapter 13 A Preview of Calculus: The Limit, Derivative, and Integral of a Function[MS1] 13.1 Finding Limits Using Tables and Graphs 13.2 Algebra Techniques for Finding Limits 13.3 One-sided Limits; Continuous Functions 13.4 The Tangent Problem; The Derivative 13.5 The Area Problem; The Integral Chapter Review Chapter Test Chapter Project Appendix Review A.1 Algebra Review A.2 Geometry Review A.3 Polynomials and Rational Expressions A.4 Polynomial Division; Synthetic Division A.5 Solving Equations Algebraically A.6 Complex Numbers; Quadratic Equations in the Complex Number System A.7 Problem Solving A.8 Interval Notation; Solving Inequalities A.9 nth Roots; Rational Exponents Answers [MS1]This chapter will only be in the NASTA version of the text. Table of Contents
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