Precálculo: Matemáticas Para el Cálculo – James Stewart – 8va Edición

Chapter 1: Fundamentals
Chapter Overview
1.1 Real Numbers
1.2 Exponents and Radicals
1.3 Algebraic Expressions
1.4 Rational Expressions
1.5 Equations
1.6 Complex Numbers
1.7 Modeling with Equations
1.8 Inequalities
1.9 The Coordinate Plane, Graphs of Equations, Circles
1.10 Lines
1.11 Solving Equations and Inequalities Graphically
1.12 Modeling Variation
Chapter 1 review
Chapter 1 Test
Focus on Modeling Fitting Lines to Data

Chapter 2: Functions
Chapter Overview
2.1 Functions
2.2 Graphs of Functions
2.3 Getting Information from the Graph of a Function
2.4 Average Rate of Change of a Function
2.5 Linear Functions and Models
2.6 Transformations of Functions
2.7 Combining Functions
2.8 One-to-One Functions and Their Inverses
Chapter 2 Review
Chapter 2 Test
Focus on Modeling Modeling with Functions

Chapter 3: Polynomial and Rational Functions
Chapter Overview
3.1 Quadratic Functions and Models
3.2 Polynomial Functions and Their Graphs
3.3 Dividing Polynomials
3.4 Real Zeros of Polynomials
3.5 Complex Zeros and the Fundamental Theorem of Algebra
3.6 Rational Functions
3.7 Polynomial and Rational Inequalities
Chapter 3 review
Chapter 3 Test
Focus on Modeling Fitting Polynomial Curves to Data

Chapter 4: Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
4.4 Laws of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Modeling with Exponential Functions
4.7 Logarithmic Scales
Chapter 4 Review
Chapter 4 Test
Focus on Modeling Fitting Exponential and Power Curves to Data
Cumulative Review Test: Chapters 2, 3, and 4 (Website)

Chapter 5: Trigonometric Functions: Unit Circle Approach
Chapter Overview
5.1 The Unit Circle
5.2 Trigonometric Functions of Real Numbers
5.3 Trigonometric Graphs
5.4 More Trigonometric Graphs
5.5 Inverse Trigonometric Functions and Their Graphs
5.6 Modeling Harmonic Motion
Chapter 5 Review
Chapter 5 Test
Focus on Modeling Fitting Sinusoidal Curves to Data

Chapter 6: Trigonometric Functions: Right Triangle Approach
6.1 Angle Measure
6.2 Trigonometry of Right Triangles
6.3 Trigonometric Functions of Angles
6.4 Inverse Trigonometric Functions and Right Triangles
6.5 The Law of Sines
6.6 The Law of Cosines
chapter 6 review
Chapter 6 Test
Focus on Modeling Surveying

Chapter 7: Analytic Trigonometry
Chapter Overview
7.1 Trigonometric Identities
7.2 Addition and Subtraction Formulas
7.3 Double-Angle, Half-Angle, and Product-Sum Formulas
7.4 Basic Trigonometric Equations
7.5 More Trigonometric Equations
Chapter 7 Review
Chapter 7 Test
Focus on Modeling Traveling and Standing Waves
Cumulative Review Test: Chapters 5, 6, and 7 (Website)

Chapter 8: Polar Coordinates, Parametric Equations, and Vectors
Chapter Overview
8.1 Polar Coordinates
8.2 Graphs of Polar Equations
8.3 Polar Form of Complex Numbers, De Moivre’s Theorem
8.4 Plane Curves and Parametric Equations
8.5 Vectors
8.6 The Dot Product
Chapter 8 review
Chapter 8 Test
Focus on Modeling The Path of a Projectile

Chapter 9: Systems of Equations and Inequalities
Chapter Overview
9.1 Systems of Linear Equations in Two Variables
9.2 Systems of Linear Equations in Several Variables
9.3 Matrices and Systems of Linear Equations
9.4 The Algebra of Matrices
9.5 Inverses of Matrices and Matrix Equations
9.6 Determinants and Cramer’s Rule
9.7 Partial Fractions
9.8 Systems of Nonlinear Equations
9.9 Systems of Inequalities
Chapter 9 Review
Chapter 9 Test
Focus on Modeling Linear Programming

Chapter 10: Conic Sections
Chapter Overview
10.1 Parabolas
10.2 Ellipses
10.3 Hyperbolas
10.4 Shifted Conics
10.5 Rotation of Axes
10.6 Polar Equations of Conics
chapter 10 review
Chapter 10 Test
Focus on Modeling Conics in Architecture
Cumulative Review Test: Chapters 8, 9, and 10 (Website)

Chapter 11: Sequences and Series
Chapter Overview
11.1 Sequences and Summation Notation
11.2 Arithmetic Sequences
11.3 Geometric Sequences
11.4 Mathematical Induction
11.5 The Binomial Theorem
chapter 11 review
Chapter 11 Test
Focus on Modeling Modeling with Recursive Sequences

Chapter 12: Limits: A Preview of Calculus
Chapter Overview
12.1 Finding Limits Numerically and Graphically
12.2 Finding Limits Algebraically
12.3 Tangent Lines and Derivatives
12.4 Limits at Infinity, Limits of Sequences
12.5 Areas
chapter 12 review
Chapter 12 Test
Focus on Modeling Interpretations of Area
Cumulative Review Test: Chapters 11 and 12 (Website)

Appendix A: Geometry Review
APPENDIX B: Calculations and Significant Figures (Website)
APPENDIX C: Graphing with a Graphing Calculator (Website)
APPENDIX D: Using the TI-83/84 Graphing Calculator (Website)
APPENDIX E: Three-Dimensional Coordinate Geometry (Website)
APPENDIX F: Mathematics of Finance (Website)
APPENDIX G: Probability and Statistics (Website)
Answers
Index