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upper level math high school math science social sciences literature and english foreign languages other math
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upper level math high school math science social sciences literature and english foreign languages other math
upper level math high school math science social sciences literature and english foreign languages other math

### Chapter 1

Fundamentals

 1.1 Sets of Real Numbers Exercises p.4 1.2 Absolute Value Exercises p.9 1.3 Solving Equations (Review and Preview) Exercises p.17 1.4 Rectangular Coordinates. Visualizing Data Exercises p.26 1.5 Graphs and Graphing Utilities Exercises p.40 1.6 Equation of Lines Exercises p.52 1.7 Symmetry and Graphs. Circles Exercises p.67 Review Exercises p.74 Chapter Test p.78

### Chapter 2

Equations And Inequalities

 2.1 Quadratic Equations: Theory and Examples Exercises p.88 2.2 Other Types of Equations Exercises p.100 2.3 Inequalities Exercises p.110 2.4 More on Inequalities Exercises p.119 Review Exercises p.125 Chapter Test p.127

### Chapter 3

Functions

 3.1 The Definition of a Function Exercises p.140 3.2 The Graph of a Functions Exercises p.153 3.3 Shapes of Graphs. Average Rate of Change Exercises p.166 3.4 Techniques in Graphing Exercises p.178 3.5 Methods of Combining Functions. Iteration Exercises p.189 3.6 Inverse Functions Exercises p.203 Review Exercises p.209 Chapter Test p.211

### Chapter 4

Polynomial And Rational Functions. Applications To Optimization

 4.1 Linear Functions Exercises p.222 4.2 Quadratic Functions Exercises p.239 4.3 Using Iteration to Model Population Growth (Optional Section) Exercises p.255 4.4 Setting Up Equations That Define Functions Exercises p.266 4.5 Maximum and Minimum Problems Exercises p.280 4.6 Polynomial Functions Exercises p.299 4.7 Rational Functions Exercises p.313 Review Exercises p.320 Chapter Test p.322

### Chapter 5

Exponential And Logarithmic Functions

 5.1 Exponential Functions Exercises p.334 5.2 The Exponential Function y=e^x Exercises p.342 5.3 Logarithmic Functions Exercises p.356 5.4 Properties of Logarithms Exercises p.368 5.5 Equations and Inequalities with Logs and Exponents Exercises p.380 5.6 Compound Interest Exercises p.391 5.7 Exponential Growth and Decay Exercises p.405 Review Exercises p.420 Chapter Test p.422

### Chapter 6

Trigonometric Functions And Angles

 6.1 Trigonometric Functions of Acute Angles Exercises p.431 6.2 Algebra and the Trigonometric Functions Exercises p.442 6.3 Right-Triangle Applications Exercises p.451 6.4 Trigonometric Functions of Angles Exercises p.469 6.5 Trigonometric Identities Exercises p.477 Review Exercises p.482 Chapter Test p.486

### Chapter 7

Trigonometric Functions Of Real Numbers

 7.1 Radian Measure Exercises p.495 7.2 Radian Measure and Geometry Exercises p.501 7.3 Trigonometric Functions of Real Numbers Exercises p.515 7.4 Graphs of the Sine and Cosine Functions Exercises p.532 7.5 Graphs of y = Asin(Bx-C) and y = Acos(Bx-C) Exercises p.546 7.6 Simple Harmonic Motion Exercises p.556 7.7 Graphs of the Tangent and the Reciprocal Functions Exercises p.568 Review Exercises p.573 Chapter Test p.575

### Chapter 8

Analytic Trigonometry

 8.1 The Addition Formulas Exercises p.584 8.2 The Double-Angle Formulas Exercises p.595 8.3 The Product-to-Sum and Sum-to-Product Formulas Exercises p.603 8.4 Trigonometric Equations Exercises p.616 8.5 The Inverse Trigonometric Equations Exercises p.630 Review Exercises p.640 Chapter Test p.644

### Chapter 9

 9.1 The Law of Sines and the Law of Cosines Exercises p.653 9.2 Vectors in the Plane: A Geometric Approach Exercises p.667 9.3 Vectors in the Plane: An Algebraic Approach Exercises p.677 9.4 Parametric Equations Exercises p.688 9.5 Introduction to Polar Coordinates Exercises p.702 9.6 Curves in Polar Coordinates Exercises p.710 Review Exercises p.715 Chapter Test p.719

### Chapter 10

Systems Of Equations

 10.1 Systems of Two Linear Equations in Two Unknowns Exercises p.730 10.2 Gaussian Elimination Exercises p.743 10.3 Matrices Exercises p.759 10.4 The Inverse of a Square Matrix Exercises p.772 10.5 Determinants and Cramer's Rule Exercises p.786 10.6 Nonlinear Systems of Equations Exercises p.795 10.7 Systems of Inequalities Exercises p.800 Review Exercises p.804 Chapter Test p.807

### Chapter 11

The Conic Sections

 11.1 The Basic Equations Exercises p.815 11.2 The Parabola Exercises p.827 11.3 Tangents to Parabolas (Optional Section) Exercises p.832 11.4 The Ellipse Exercises p.843 11.5 The Hyperbola Exercises p.856 11.6 The Focus-Directrix Property of Conics Exercises p.866 11.7 The Conics in Polar Coordinates Exercises p.872 11.8 Rotation of Axes Exercise Set p.881 Review Exercises p.886 Chapter Test p.888

### Chapter 12

Roots Of Polynomial Equations

 12.1 The Complex Number System Exercises p.896 12.2 Division of Polynomials Exercises p.904 12.3 The Remainder Theorem and the Factor Theorem Exercises p.912 12.4 The Fundamental Theorem of Algebra Exercises p.921 12.5 Rational and Irrational Roots Exercises p.931 12.6 Conjugate Roots and Descartes's Rule of Signs Exercises p.939 12.7 Introduction to Partial Fractions Exercises p.946 12.8 More About Partial Fractions Exercises p.956 Review Exercises p.961 Chapter Test p.964

### Chapter 13

 13.1 Mathematical Induction Exercises p.970 13.2 The Binomial Theorem Exercises p.980 13.3 Introduction to Sequences and Series Exercises p.988 13.4 Arithmetic Sequences and Series Exercises p.996 13.5 Geometric Series and Sequences Exercises p.1006 13.6 DeMoivre's Theorem Exercises p.1012 Review Exercises p.1017 Chapter Test p.1020

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